Deck 3: Confidence Intervals
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Deck 3: Confidence Intervals
1
Use the following
A random sample of 200 students shows that 62% of students use the Student Health Center at some point during their time on campus, with a margin of error of
4%. Based on this information, identify each of the following as plausible or not for the percent of the entire student body that use the Student Health Center at some point during their time on campus.
-50%
A) Plausible
B) Not Plausible
A random sample of 200 students shows that 62% of students use the Student Health Center at some point during their time on campus, with a margin of error of

-50%
A) Plausible
B) Not Plausible
Not Plausible
2
Use the following
A random sample of 200 students shows that 62% of students use the Student Health Center at some point during their time on campus, with a margin of error of
4%. Based on this information, identify each of the following as plausible or not for the percent of the entire student body that use the Student Health Center at some point during their time on campus.
-60%
A) Plausible
B) Not Plausible
A random sample of 200 students shows that 62% of students use the Student Health Center at some point during their time on campus, with a margin of error of

-60%
A) Plausible
B) Not Plausible
Plausible
3
Use the following
A random sample of 200 students shows that 62% of students use the Student Health Center at some point during their time on campus, with a margin of error of
4%. Based on this information, identify each of the following as plausible or not for the percent of the entire student body that use the Student Health Center at some point during their time on campus.
-65%
A) Plausible
B) Not Plausible
A random sample of 200 students shows that 62% of students use the Student Health Center at some point during their time on campus, with a margin of error of

-65%
A) Plausible
B) Not Plausible
Plausible
4
Use the following
A random sample of 200 students shows that 62% of students use the Student Health Center at some point during their time on campus, with a margin of error of
4%. Based on this information, identify each of the following as plausible or not for the percent of the entire student body that use the Student Health Center at some point during their time on campus.
-72%
A) Plausible
B) Not Plausible
A random sample of 200 students shows that 62% of students use the Student Health Center at some point during their time on campus, with a margin of error of

-72%
A) Plausible
B) Not Plausible
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5
Use the following
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Correlation between height and armspan (distance from fingertip to fingertip when arms are extended to the sides) for all players on the Chicago Bulls basketball team, using data from all players currently on the team
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Correlation between height and armspan (distance from fingertip to fingertip when arms are extended to the sides) for all players on the Chicago Bulls basketball team, using data from all players currently on the team
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6
Use the following
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Proportion of students at your university that smoke, based on data from your class.
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Proportion of students at your university that smoke, based on data from your class.
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7
Use the following
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Correlation between price of a textbook and the number of pages, based on 25 textbooks selected from the bookstore.
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Correlation between price of a textbook and the number of pages, based on 25 textbooks selected from the bookstore.
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8
Use the following
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Average commute time for employees at a small company, based on interviews with all employees.
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Average commute time for employees at a small company, based on interviews with all employees.
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9
Use the following
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Average gas price in Minnesota, based on prices at randomly selected gas stations throughout the state.
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Average gas price in Minnesota, based on prices at randomly selected gas stations throughout the state.
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10
Use the following
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Proportion of students at a university that are part-time, based on data on all students enrolled at the university.
Identify each of the following as either a parameter or a statistic, and give the correct notation.
-Proportion of students at a university that are part-time, based on data on all students enrolled at the university.
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11
Use the following
Identify whether each of the following samples is a possible bootstrap sample from this original sample: 20, 24, 19, 23, 18
-24, 18, 23
A) Possible
B) Not Possible
Identify whether each of the following samples is a possible bootstrap sample from this original sample: 20, 24, 19, 23, 18
-24, 18, 23
A) Possible
B) Not Possible
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12
Use the following
Identify whether each of the following samples is a possible bootstrap sample from this original sample: 20, 24, 19, 23, 18
-24, 19, 24, 20,23
A) Possible
B) Not Possible
Identify whether each of the following samples is a possible bootstrap sample from this original sample: 20, 24, 19, 23, 18
-24, 19, 24, 20,23
A) Possible
B) Not Possible
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13
Use the following
Identify whether each of the following samples is a possible bootstrap sample from this original sample: 20, 24, 19, 23, 18
-20, 24, 21, 19, 18
A) Possible
B) Not Possible
Identify whether each of the following samples is a possible bootstrap sample from this original sample: 20, 24, 19, 23, 18
-20, 24, 21, 19, 18
A) Possible
B) Not Possible
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14
Use the following
Identify whether each of the following samples is a possible bootstrap sample from this original sample: 20, 24, 19, 23, 18
-20, 20, 20, 20, 20
A) Possible
B) Not Possible
Identify whether each of the following samples is a possible bootstrap sample from this original sample: 20, 24, 19, 23, 18
-20, 20, 20, 20, 20
A) Possible
B) Not Possible
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15
Use the following
Identify whether each of the following samples is a possible bootstrap sample from this original sample: 20, 24, 19, 23, 18
-18, 19, 20, 23, 24
A) Possible
B) Not Possible
Identify whether each of the following samples is a possible bootstrap sample from this original sample: 20, 24, 19, 23, 18
-18, 19, 20, 23, 24
A) Possible
B) Not Possible
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16
Use the following
The sampling distribution shows sample proportions from samples of size n = 35.

-What does one dot on the sampling distribution represent?
The sampling distribution shows sample proportions from samples of size n = 35.

-What does one dot on the sampling distribution represent?
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17
Use the following
The sampling distribution shows sample proportions from samples of size n = 35.

-Estimate the population proportion from the dotplot.
A) 0.56
B) 0.63
C) 0.70
D) 0.91
The sampling distribution shows sample proportions from samples of size n = 35.

-Estimate the population proportion from the dotplot.
A) 0.56
B) 0.63
C) 0.70
D) 0.91
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18
Use the following
The sampling distribution shows sample proportions from samples of size n = 35.

-Estimate the standard error of the sample proportions.
A) 0.07
B) 0.63
C) 0.14
D) 0.01
The sampling distribution shows sample proportions from samples of size n = 35.

-Estimate the standard error of the sample proportions.
A) 0.07
B) 0.63
C) 0.14
D) 0.01
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19
Use the following
The sampling distribution shows sample proportions from samples of size n = 35.

-Using the sampling distribution, how likely is
= 0.65?
A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
The sampling distribution shows sample proportions from samples of size n = 35.

-Using the sampling distribution, how likely is

A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
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20
Use the following
The sampling distribution shows sample proportions from samples of size n = 35.

-Using the sampling distribution, how likely is
= 0.45?
A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
The sampling distribution shows sample proportions from samples of size n = 35.

-Using the sampling distribution, how likely is

A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
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21
Use the following
The sampling distribution shows sample proportions from samples of size n = 35.

-Using the sampling distribution, how likely is
= 0.98?
A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
The sampling distribution shows sample proportions from samples of size n = 35.

-Using the sampling distribution, how likely is

A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
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22
Use the following
The sampling distribution shows sample proportions from samples of size n = 35.

-If samples of size n = 65 had been used instead of n = 35, which of the following would be true?
A) The sample statistics would be centered at a larger proportion.
B) The sample statistics would be centered at roughly the same proportion.
C) The sample statistics would be centered at a smaller proportion.
The sampling distribution shows sample proportions from samples of size n = 35.

-If samples of size n = 65 had been used instead of n = 35, which of the following would be true?
A) The sample statistics would be centered at a larger proportion.
B) The sample statistics would be centered at roughly the same proportion.
C) The sample statistics would be centered at a smaller proportion.
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23
Use the following
The sampling distribution shows sample proportions from samples of size n = 35.

-If samples of size n = 65 had been used instead of n = 35, which of the following would be true?
A) The sample statistics would have more variability.
B) The variability in the sample statistics would be about the same.
C) The sample statistics would have less variability.
The sampling distribution shows sample proportions from samples of size n = 35.

-If samples of size n = 65 had been used instead of n = 35, which of the following would be true?
A) The sample statistics would have more variability.
B) The variability in the sample statistics would be about the same.
C) The sample statistics would have less variability.
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24
Use the following
The sampling distribution shows sample means from samples of size n = 50.

-What does one dot on the sampling distribution represent?
The sampling distribution shows sample means from samples of size n = 50.

-What does one dot on the sampling distribution represent?
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25
Use the following
The sampling distribution shows sample means from samples of size n = 50.

-Estimate the population mean from the dotplot.
A) 62
B) 63
C) 65
D) 67
The sampling distribution shows sample means from samples of size n = 50.

-Estimate the population mean from the dotplot.
A) 62
B) 63
C) 65
D) 67
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26
Use the following
The sampling distribution shows sample means from samples of size n = 50.

-Estimate the standard error of the sample means.
A) 1
B) 2
C) 3
D) 5
The sampling distribution shows sample means from samples of size n = 50.

-Estimate the standard error of the sample means.
A) 1
B) 2
C) 3
D) 5
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27
Use the following
The sampling distribution shows sample means from samples of size n = 50.

-Using the sampling distribution, how likely is
= 55.6?
A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
The sampling distribution shows sample means from samples of size n = 50.

-Using the sampling distribution, how likely is

A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
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28
Use the following
The sampling distribution shows sample means from samples of size n = 50.

-Using the sampling distribution, how likely is
= 64.2?
A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
The sampling distribution shows sample means from samples of size n = 50.

-Using the sampling distribution, how likely is

A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
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29
Use the following
The sampling distribution shows sample means from samples of size n = 50.

-Using the sampling distribution, how likely is
= 68.7?
A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
The sampling distribution shows sample means from samples of size n = 50.

-Using the sampling distribution, how likely is

A) Reasonably likely to occur from a sample of this size
B) Unusual but might occur occasionally
C) Extremely unlikely to ever occur
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30
Use the following
The sampling distribution shows sample means from samples of size n = 50.

-If samples of size n = 30 had been used instead of n = 50, which of the following would be true?
A) The sample means would be centered at a larger value.
B) The sample means would be centered at the same value.
C) The sample means would be centered at a smaller value.
The sampling distribution shows sample means from samples of size n = 50.

-If samples of size n = 30 had been used instead of n = 50, which of the following would be true?
A) The sample means would be centered at a larger value.
B) The sample means would be centered at the same value.
C) The sample means would be centered at a smaller value.
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31
Use the following
The sampling distribution shows sample means from samples of size n = 50.

-If samples of size n = 30 had been used instead of n = 50, which of the following would be true?
A) The sample means would have more variability.
B) The variability in the sample statistics would be about the same.
C) The sample means would have less variability.
The sampling distribution shows sample means from samples of size n = 50.

-If samples of size n = 30 had been used instead of n = 50, which of the following would be true?
A) The sample means would have more variability.
B) The variability in the sample statistics would be about the same.
C) The sample means would have less variability.
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32
Use the following
In an October 2012 survey of 7,786 randomly selected adults living in Germany, 5,840 said they exercised for at least 30 minutes three or more times per week.
-Identify, with the proper notation, the quantity being estimated.
In an October 2012 survey of 7,786 randomly selected adults living in Germany, 5,840 said they exercised for at least 30 minutes three or more times per week.
-Identify, with the proper notation, the quantity being estimated.
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33
Use the following
In an October 2012 survey of 7,786 randomly selected adults living in Germany, 5,840 said they exercised for at least 30 minutes three or more times per week.
-Using the correct notation, give the value of the best estimate of the population parameter. Round your answer to two decimal places.
In an October 2012 survey of 7,786 randomly selected adults living in Germany, 5,840 said they exercised for at least 30 minutes three or more times per week.
-Using the correct notation, give the value of the best estimate of the population parameter. Round your answer to two decimal places.
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34
Use the following
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."
-What is the population of interest?
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."
-What is the population of interest?
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35
Use the following
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."
-What is the sample being used?
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."
-What is the sample being used?
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36
Use the following
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."
-What is the population parameter of interest, and what is the correct notation for this parameter?
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."
-What is the population parameter of interest, and what is the correct notation for this parameter?
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37
Use the following
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."
-What is the relevant statistic?
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."
-What is the relevant statistic?
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38
Use the following
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."
-Find an interval estimate for the parameter of interest. Interpret it in terms of dissatisfaction in the quality of education students receive. Use two decimal places in your answer.
In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. They also report that the "margin of sampling error is plus or minus 4%."
-Find an interval estimate for the parameter of interest. Interpret it in terms of dissatisfaction in the quality of education students receive. Use two decimal places in your answer.
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39
Use the following
According to U.S. Census data, 71.6% of Americans are age 21 and over. The provided figure shows possible sampling distributions for the proportion of a sample age 21 and over, for samples of size n = 50, n = 125, and n = 250.
Match the sample sizes (n = 50, n = 125, and n = 250) to their sampling distribution.
-Sample A: n = _____________
According to U.S. Census data, 71.6% of Americans are age 21 and over. The provided figure shows possible sampling distributions for the proportion of a sample age 21 and over, for samples of size n = 50, n = 125, and n = 250.

-Sample A: n = _____________
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40
Use the following
According to U.S. Census data, 71.6% of Americans are age 21 and over. The provided figure shows possible sampling distributions for the proportion of a sample age 21 and over, for samples of size n = 50, n = 125, and n = 250.
Match the sample sizes (n = 50, n = 125, and n = 250) to their sampling distribution.
-Sample B: n = _____________
According to U.S. Census data, 71.6% of Americans are age 21 and over. The provided figure shows possible sampling distributions for the proportion of a sample age 21 and over, for samples of size n = 50, n = 125, and n = 250.

-Sample B: n = _____________
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41
Use the following
According to U.S. Census data, 71.6% of Americans are age 21 and over. The provided figure shows possible sampling distributions for the proportion of a sample age 21 and over, for samples of size n = 50, n = 125, and n = 250.
Match the sample sizes (n = 50, n = 125, and n = 250) to their sampling distribution.
-Sample C: n = _____________
According to U.S. Census data, 71.6% of Americans are age 21 and over. The provided figure shows possible sampling distributions for the proportion of a sample age 21 and over, for samples of size n = 50, n = 125, and n = 250.

-Sample C: n = _____________
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42
Use the following
According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game.
-Is 49 yards/game a parameter or statistic?
A) Parameter
B) Statistic
According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game.
-Is 49 yards/game a parameter or statistic?
A) Parameter
B) Statistic
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43
Use the following
According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game.
-Is 46.54 yards/game a parameter or statistic?
A) Parameter
B) Statistic
According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game.
-Is 46.54 yards/game a parameter or statistic?
A) Parameter
B) Statistic
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44
Use the following
According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game.
-Two boxplots are shown. One boxplot corresponds to the yards/game for a random sample of n = 20 running backs. The other boxplot represents the values in a sampling distribution of 1,000 means of yards/game for samples of size n = 20.
Which boxplot represents the sample? Which boxplot represents the sampling distribution? Briefly explain how you know.
According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game.
-Two boxplots are shown. One boxplot corresponds to the yards/game for a random sample of n = 20 running backs. The other boxplot represents the values in a sampling distribution of 1,000 means of yards/game for samples of size n = 20.


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45
Use the following
Identify if each of the following statements is a proper interpretation of a 95% confidence interval.
-I am 95% sure that this interval will contain the population parameter.
A) Correct
B) Incorrect
Identify if each of the following statements is a proper interpretation of a 95% confidence interval.
-I am 95% sure that this interval will contain the population parameter.
A) Correct
B) Incorrect
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46
Use the following
Identify if each of the following statements is a proper interpretation of a 95% confidence interval.
-I am 95% sure that this interval will contain the sample statistic.
A) Correct
B) Incorrect
Identify if each of the following statements is a proper interpretation of a 95% confidence interval.
-I am 95% sure that this interval will contain the sample statistic.
A) Correct
B) Incorrect
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47
Use the following
Identify if each of the following statements is a proper interpretation of a 95% confidence interval.
-95% of the population values will fall within this interval.
A) Correct
B) Incorrect
Identify if each of the following statements is a proper interpretation of a 95% confidence interval.
-95% of the population values will fall within this interval.
A) Correct
B) Incorrect
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48
Use the following
Identify if each of the following statements is a proper interpretation of a 95% confidence interval.
-The probability that the population parameter is in this interval is 0.95.
A) Correct
B) Incorrect
Identify if each of the following statements is a proper interpretation of a 95% confidence interval.
-The probability that the population parameter is in this interval is 0.95.
A) Correct
B) Incorrect
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49
Use the following
Identify if each of the following statements is a proper interpretation of a 95% confidence interval.
-95% of the possible samples from this population will have sample statistics in this particular interval.
A) Correct
B) Incorrect
Identify if each of the following statements is a proper interpretation of a 95% confidence interval.
-95% of the possible samples from this population will have sample statistics in this particular interval.
A) Correct
B) Incorrect
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50
In 2010, the Centers for Disease Control and Prevention estimated 9.4% of children under the age of 18 had asthma. They reported the standard error to be 0.35%. Assuming that the sampling distribution is symmetric and bell-shaped, find a 95% confidence interval.
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51
Use the following
A sample of 148 college students reports sleeping an average of 6.85 hours on weeknights, with a margin of error of 0.35 hours. Based on this information, identify each of the following as plausible or not for the average amount of sleep college students get on weeknights.
-6.6 hours
A) Plausible
B) Not plausible
A sample of 148 college students reports sleeping an average of 6.85 hours on weeknights, with a margin of error of 0.35 hours. Based on this information, identify each of the following as plausible or not for the average amount of sleep college students get on weeknights.
-6.6 hours
A) Plausible
B) Not plausible
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52
Use the following
A sample of 148 college students reports sleeping an average of 6.85 hours on weeknights, with a margin of error of 0.35 hours. Based on this information, identify each of the following as plausible or not for the average amount of sleep college students get on weeknights.
-7.5 hours
A) Plausible
B) Not plausible
A sample of 148 college students reports sleeping an average of 6.85 hours on weeknights, with a margin of error of 0.35 hours. Based on this information, identify each of the following as plausible or not for the average amount of sleep college students get on weeknights.
-7.5 hours
A) Plausible
B) Not plausible
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53
Use the following
A sample of 148 college students reports sleeping an average of 6.85 hours on weeknights, with a margin of error of 0.35 hours. Based on this information, identify each of the following as plausible or not for the average amount of sleep college students get on weeknights.
-8 hours
A) Plausible
B) Not plausible
A sample of 148 college students reports sleeping an average of 6.85 hours on weeknights, with a margin of error of 0.35 hours. Based on this information, identify each of the following as plausible or not for the average amount of sleep college students get on weeknights.
-8 hours
A) Plausible
B) Not plausible
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54
Decreasing the confidence level (say, from 95% to 85%) will cause the width of a typical confidence interval to
A) increase.
B) decrease.
C) remain the same.
A) increase.
B) decrease.
C) remain the same.
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55
Use the following
An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-Define the parameter of interest, using the proper notation.
An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-Define the parameter of interest, using the proper notation.
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56
Use the following
An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-Use the information from the sample to give the best estimate of the population parameter.
An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-Use the information from the sample to give the best estimate of the population parameter.
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57
Use the following
An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-Describe how to use the data to select one bootstrap sample. What statistic is recorded from this sample?
An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-Describe how to use the data to select one bootstrap sample. What statistic is recorded from this sample?
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58
Use the following
An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-The standard error is about 0.458. Find and interpret a 95% confidence interval for the parameter. Round the margin of error to two decimal places.
An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-The standard error is about 0.458. Find and interpret a 95% confidence interval for the parameter. Round the margin of error to two decimal places.
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59
Use the following
An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-Percentiles of the bootstrap distribution are provided. Use the percentiles to report a 95% confidence interval for the parameter.

An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-Percentiles of the bootstrap distribution are provided. Use the percentiles to report a 95% confidence interval for the parameter.

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60
Use the following
An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-Percentiles of the bootstrap distribution are provided. Use the percentiles to report a 90% confidence interval for the parameter.

An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours.
-Percentiles of the bootstrap distribution are provided. Use the percentiles to report a 90% confidence interval for the parameter.

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61
Use the following
Suppose that a 95% confidence interval for the slope of a regression line based on a sample of size n = 100 and the percentiles of the slopes for 1,000 bootstrap samples goes from 2.50 to 2.80. For each change described (with all else staying the same), indicate which of the three confidence intervals would be the most likely result.
-Decrease the sample size to n = 60.
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)
Suppose that a 95% confidence interval for the slope of a regression line based on a sample of size n = 100 and the percentiles of the slopes for 1,000 bootstrap samples goes from 2.50 to 2.80. For each change described (with all else staying the same), indicate which of the three confidence intervals would be the most likely result.
-Decrease the sample size to n = 60.
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)
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62
Use the following
Suppose that a 95% confidence interval for the slope of a regression line based on a sample of size n = 100 and the percentiles of the slopes for 1,000 bootstrap samples goes from 2.50 to 2.80. For each change described (with all else staying the same), indicate which of the three confidence intervals would be the most likely result.
-Increase the confidence level to 99%.
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)
Suppose that a 95% confidence interval for the slope of a regression line based on a sample of size n = 100 and the percentiles of the slopes for 1,000 bootstrap samples goes from 2.50 to 2.80. For each change described (with all else staying the same), indicate which of the three confidence intervals would be the most likely result.
-Increase the confidence level to 99%.
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)
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63
Use the following
Suppose that a 95% confidence interval for the slope of a regression line based on a sample of size n = 100 and the percentiles of the slopes for 1,000 bootstrap samples goes from 2.50 to 2.80. For each change described (with all else staying the same), indicate which of the three confidence intervals would be the most likely result.
-Increase the number of bootstrap samples to 5,000
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)
Suppose that a 95% confidence interval for the slope of a regression line based on a sample of size n = 100 and the percentiles of the slopes for 1,000 bootstrap samples goes from 2.50 to 2.80. For each change described (with all else staying the same), indicate which of the three confidence intervals would be the most likely result.
-Increase the number of bootstrap samples to 5,000
A) 2.53 to 2.77 (narrower)
B) 2.50 to 2.80 (the same)
C) 2.46 to 2.84 (wider)
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64
Use the following
In a poll conducted before the Republican presidential primary in Michigan, 134 of 420 randomly chosen likely voters indicated that they planned to vote for Mitt Romney.
-Compute a sample statistic from these data. Use appropriate notation to label your statistic. Report your answer with three decimal places.
In a poll conducted before the Republican presidential primary in Michigan, 134 of 420 randomly chosen likely voters indicated that they planned to vote for Mitt Romney.
-Compute a sample statistic from these data. Use appropriate notation to label your statistic. Report your answer with three decimal places.
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65
Use the following
In a poll conducted before the Republican presidential primary in Michigan, 134 of 420 randomly chosen likely voters indicated that they planned to vote for Mitt Romney.
-Suppose that an article describing the poll says that the margin of error for the statistic is 0.045. Use this information to find an interval estimate.
In a poll conducted before the Republican presidential primary in Michigan, 134 of 420 randomly chosen likely voters indicated that they planned to vote for Mitt Romney.
-Suppose that an article describing the poll says that the margin of error for the statistic is 0.045. Use this information to find an interval estimate.
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66
Use the following
In a poll conducted before the Republican presidential primary in Michigan, 134 of 420 randomly chosen likely voters indicated that they planned to vote for Mitt Romney.
-What quantity is the interval estimate in (b) trying to capture? Identify with appropriate notation and words.
In a poll conducted before the Republican presidential primary in Michigan, 134 of 420 randomly chosen likely voters indicated that they planned to vote for Mitt Romney.
-What quantity is the interval estimate in (b) trying to capture? Identify with appropriate notation and words.
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67
Use the following
In a poll conducted before the Republican presidential primary in Michigan, 134 of 420 randomly chosen likely voters indicated that they planned to vote for Mitt Romney.
-Interpret the confidence interval from (b).
In a poll conducted before the Republican presidential primary in Michigan, 134 of 420 randomly chosen likely voters indicated that they planned to vote for Mitt Romney.
-Interpret the confidence interval from (b).
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68
Suppose that a student collects pulse rates from a random sample of 200 students at her college and finds a 90% confidence interval goes from 65.5 to 71.8 beats per minute. Is the following statement an appropriate interpretation of this interval? If not, explain why not.
"90% of the students at my college have mean pulse rates between 65.5 and 71.8 beats per minute."
"90% of the students at my college have mean pulse rates between 65.5 and 71.8 beats per minute."
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69
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-If the parameter of interest is the difference in proportions, pm - pf, where pm and pf represent the proportion of smokers in each gender, find a point estimate for this difference in proportions based on the data in the table. Report your answer with two decimal places.
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-If the parameter of interest is the difference in proportions, pm - pf, where pm and pf represent the proportion of smokers in each gender, find a point estimate for this difference in proportions based on the data in the table. Report your answer with two decimal places.
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70
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Describe how to use the data to construct a bootstrap distribution. What value should be recorded for each of the bootstrap samples.
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Describe how to use the data to construct a bootstrap distribution. What value should be recorded for each of the bootstrap samples.
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71
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Use technology to construct a bootstrap distribution with at least 1,000 samples and estimate the standard error.
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Use technology to construct a bootstrap distribution with at least 1,000 samples and estimate the standard error.
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72
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Use the estimate of the standard error to construct a 95% confidence interval for the difference in the proportion of smokers between male and female students, pm - pf. Round the margin of error to three decimal places. Provide an interpretation of the interval in the context of this data situation.
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Use the estimate of the standard error to construct a 95% confidence interval for the difference in the proportion of smokers between male and female students, pm - pf. Round the margin of error to three decimal places. Provide an interpretation of the interval in the context of this data situation.
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73
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Use percentiles of your bootstrap distribution to provide a 98% confidence interval for the difference in the proportion of smokers between male and female students. State which percentiles you are using.
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Use percentiles of your bootstrap distribution to provide a 98% confidence interval for the difference in the proportion of smokers between male and female students. State which percentiles you are using.
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74
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-If the parameter of interest is the difference in proportions, pm - pf, where pm and pf represent the proportion of smokers in each gender, find a point estimate for this difference in proportions based on the data in the table. Report your answer with two decimal places.
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-If the parameter of interest is the difference in proportions, pm - pf, where pm and pf represent the proportion of smokers in each gender, find a point estimate for this difference in proportions based on the data in the table. Report your answer with two decimal places.
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75
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Describe how to use the data to construct a bootstrap distribution. What value should be recorded for each of the bootstrap samples.
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Describe how to use the data to construct a bootstrap distribution. What value should be recorded for each of the bootstrap samples.
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76
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Where should the bootstrap distribution be centered?
A) 0.0
B) 0.05
C) 0.10
D) 0.15
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Where should the bootstrap distribution be centered?
A) 0.0
B) 0.05
C) 0.10
D) 0.15
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افتح القفل للوصول البطاقات البالغ عددها 148 في هذه المجموعة.
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77
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Describe how you would estimate the standard error from the bootstrap distribution.
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Describe how you would estimate the standard error from the bootstrap distribution.
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افتح القفل للوصول البطاقات البالغ عددها 148 في هذه المجموعة.
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78
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-The standard error is estimated to be 0.056. Find and interpret (in the context of this data situation) a 95% confidence interval for the difference in the proportion of smokers between male and female students, pm - pf. Round the margin of error to three decimal places.
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-The standard error is estimated to be 0.056. Find and interpret (in the context of this data situation) a 95% confidence interval for the difference in the proportion of smokers between male and female students, pm - pf. Round the margin of error to three decimal places.
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k this deck
79
Use the following
Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Percentiles of the bootstrap distribution (based on 5,000 samples) are provided. Use the percentiles to provide a 98% confidence interval for the difference in the proportion of smokers between male and female students. State which percentiles you are using.

Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)". The two-way table below summarizes the results.

-Percentiles of the bootstrap distribution (based on 5,000 samples) are provided. Use the percentiles to provide a 98% confidence interval for the difference in the proportion of smokers between male and female students. State which percentiles you are using.

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Use the following
To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percentage from each tail. Indicate what percent of values must be chopped off from each tail for each confidence level.
-95%
To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percentage from each tail. Indicate what percent of values must be chopped off from each tail for each confidence level.
-95%
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