Deck 12: Confidence Interval Versus Point Estimation

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Question
A point estimate

A) is based on population data.
B) is a single value.
C) is a range of values.
D) has a specified degree of confidence.
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Question
Sample statistics are not expected to predict with certainty the values of the population because of

A) sampling error.
B) experimenter error.
C) confidence error.
D) interval error.
Question
A sample mean used to predict a population mean is an example of a

A) sample valuation.
B) sample forecast.
C) confidence interval.
D) point estimate.
Question
Which of the following is NOT true of confidence intervals?

A) They take sampling error into consideration.
B) They are expected to include a population parameter.
C) They include a range of values.
D) They are more specific than point estimates.
Question
Which of the following is NOT true of point estimates?

A) They are based on sample data.
B) They are used to estimate the parameters of a population.
C) They include adjustments for standard error.
D) They are more specific than confidence intervals.
Question
Point estimates involve _______ values and are _______ specific than confidence intervals.

A) a range of; less
B) single; more
C) a range of; more
D) single; less
Question
To determine the point estimate of a population parameter, use

A) the obtained sample values with an adjustment for standard error.
B) the denominator of the t test.
C) the numerator of the t test.
D) the appropriate confidence interval.
Question
For a one-sample t test, the point estimate would be

A) M
B) μ
C) MD
D) μD
Question
For an independent samples t test, the point estimate would be

A) μ₁ - μ₂
B) M₁ - M₂
C) <strong>For an independent samples t test, the point estimate would be</strong> A) μ₁ - μ₂ B) M₁ - M₂ C)   D) M<sub>D</sub> <div style=padding-top: 35px>
D) MD
Question
For a repeated measures t test, the point estimate would be

A) μ₁ - μ₂
B) M₁ - M₂
C) μD
D) MD
Question
Confidence intervals are _______ specific than point estimates and involve _______ values.

A) more; single
B) less; a range of
C) more; a range of
D) less; single
Question
Which of the following components is not needed for calculating the lower and upper limits of a confidence interval?

A) an obtained statistic
B) a population parameter
C) a t-value
D) the estimated standard error
Question
If we want to establish a 99% confidence interval for the population mean, then our interval would fail to capture μ _____ percent of the time.

A) 1
B) 10
C) 100
D) .5
Question
Which is the correct formula for the upper limit of a confidence interval for a one-sample t test?

A) M + t(sM)
B) μ + t(sM)
C) MD + t (sMD)
D) μD + t (sMD)
Question
Which is the correct formula for the lower limit of a confidence interval for an independent samples t test?

A) MD - t (sMD)
B) μD - t (sMD)
C) (μ₁ - μ₂) - t (sM₁-M₂)
D) (M₁ - M₂) - t (sM₁-M₂)
Question
Which is the correct formula for the lower limit of a confidence interval for a repeated measures t test?

A) MD - t (sMD)
B) μD - t (sMD)
C) (μ₁ - μ₂) - t (sM₁-M₂)
D) (M₁ - M₂) - t (sM₁-M₂)
Question
Given the scores 10, 12, 15, and 20, what is the point estimate for μ?

A) 57
B) 14.25
C) 19
D) ±10
Question
The scores for group one in a study are 4, 5, 6, and 7. The scores for group two are 8, 9, 10, 11, and 12. What would the point estimate be for an independent samples t test?

A) -4.50
B) +4.50
C) +8.00
D) 10.29
Question
The pre-test scores for a repeated measures test were 6, 8, 10, and 9. The post-test scores for the same participants in the same order were 8, 10, 11, and 12. What would be point estimate be for μD?

A) -1.75
B) +1.75
C) +2.00
D) -2.00
Question
If we wanted to estimate a 90% confidence interval for a one-sample t test with a sample of n = 18, what t-values would we use?

A) ±1.740
B) ±1.734
C) ±2.101
D) ±2.110
Question
If we wanted to estimate a 98% confidence interval for an independent samples t test with sample sizes of n = 11 and n = 12, what t-values would we use?

A) ±2.819
B) ±2.831
C) ±2.518
D) ±2.508
Question
If we wanted to estimate an 80% confidence interval for a two-sample repeated measures t test with a sample size of n = 23, what t values would we use?

A) ±1.323
B) ±1.721
C) ±1.717
D) ±1.321
Question
If we have established a 99% confidence interval for μ of 40 to 60, what would be the correct interpretation?

A) 99% of sample means would fall between 40 and 60.
B) 99% of population means would fall between 40 and 60.
C) We can be 99% confident that μ would be between 40 and 60.
D) We can be 99% confident that M would be between 40 and 60.
Question
If we were conducting an independent samples t test, a point estimate would be used to estimate

A) the sample mean difference.
B) the population mean difference.
C) the difference between sample means.
D) the difference between population means.
Question
If we were conducting repeated measures t test, a point estimate would be used to estimate

A) the sample mean difference.
B) the population mean difference.
C) the difference between sample means.
D) the difference between population means.
Question
A study was conducted to determine the effectiveness of interval training (alternating between walking and running at a fast pace) on running speed. A sample of n = 9 runners improved their speed on 5K runs after the training by an average of MD = 1.58 minutes with sD = .61. What would the point estimate of the mean difference be in the population?

A) 1.58
B) .1756
C) .1975
D) 7.77
Question
A study was conducted to determine the effectiveness of interval training (alternating between walking and running at a fast pace) on running speed. A sample of n = 9 runners improved their speed on 5K runs after the training by an average of MD = 1.58 minutes with sD = .61. If we want to construct a 90% confidence interval for the population mean difference, what t-values should be used.

A) ±2.365
B) ±2.306
C) ±1.895
D) ±1.860
Question
A study was conducted to determine the effectiveness of interval training (alternating between walking and running at a fast pace) on running speed. A sample of n = 9 runners improved their speed on 5K runs after the training by an average of MD = 1.58 minutes with sD = .61. The values for a 95% confidence interval for μD would be

A) .20 to 3.18
B) .17 to 2.99
C) 1.13 to 2.04
D) .14 to 3.02
Question
When level of confidence is ______, the range of values becomes _______.

A) decreased; broader
B) increased; broader
C) increased; more specific
D) decreased; less specific
Question
As compared to point estimates, confidence intervals are

A) less specific but we can have greater confidence that they will include the population values.
B) more specific and we have greater confidence that they will include the population values.
C) less specific and we have less confidence that they will include the population values.
D) more specific but we have less confidence that they will include the population values.
Question
When the level of confidence is increased, the range of values ______ and becomes ________ specific.

A) narrows; less
B) narrows; more
C) broadens; more
D) broadens; less
Question
Explain the difference between a point estimate and a confidence interval.
Question
If we wanted to make a point estimate for μ, what statistic would we use?
Question
If we wanted to make a point estimate for μ₁ - μ₂, what statistic would we use?
Question
If we wanted to make a point estimate for μD, what statistic would we use?
Question
What is the relationship between level of confidence and the width of the confidence interval?
Question
Based on the summary data below, construct a 90% confidence interval for μ.
M = 50
n = 15
sM = 3
Question
Based on the summary data below, construct an 80% confidence interval forμ₁ - μ₂.
M₁ = 70 with n₁ = 18
M₂ = 64 with n₂ = 15
Based on the summary data below, construct an 80% confidence interval forμ₁ - μ₂. M₁ = 70 with n₁ = 18 M₂ = 64 with n₂ = 15  <div style=padding-top: 35px>
Question
Based on the summary data below, construct a 98% confidence interval for μD.
MD = 11
n = 12
Based on the summary data below, construct a 98% confidence interval for μ<sub>D</sub>. M<sub>D</sub> = 11 n = 12  <div style=padding-top: 35px>
Question
Given the scores 31, 42, 29, and 35, what is the point estimate for μ?
Question
Group One scores 9, 12, 8, 15, and 11. Group Two scores 23, 18, 14, 20, 19, and 17. What is the point estimate for μ₁ - μ₂?
Question
The scores before a treatment intervention were 10, 8, 11, 9, and 8. The scores after the intervention were 6, 5, 6, 3, and 5, respectively. What is the point estimate for μD?
Question
Based on the summary data below, construct a 95% confidence interval forμ.
M = 25
n = 12
SS = 200
Question
Based on the summary data below, construct a 99% confidence interval for μ₁ -μ₂.
M₁ = 62 with n₁ = 14 and SS₁ = 501
M₂ = 55 with n₂ = 16 and SS₂ = 441
Question
Based on the summary data below, construct a 98% confidence interval for μD.
MD = 8
n = 24
SSD = 893
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Deck 12: Confidence Interval Versus Point Estimation
1
A point estimate

A) is based on population data.
B) is a single value.
C) is a range of values.
D) has a specified degree of confidence.
B
2
Sample statistics are not expected to predict with certainty the values of the population because of

A) sampling error.
B) experimenter error.
C) confidence error.
D) interval error.
A
3
A sample mean used to predict a population mean is an example of a

A) sample valuation.
B) sample forecast.
C) confidence interval.
D) point estimate.
D
4
Which of the following is NOT true of confidence intervals?

A) They take sampling error into consideration.
B) They are expected to include a population parameter.
C) They include a range of values.
D) They are more specific than point estimates.
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5
Which of the following is NOT true of point estimates?

A) They are based on sample data.
B) They are used to estimate the parameters of a population.
C) They include adjustments for standard error.
D) They are more specific than confidence intervals.
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6
Point estimates involve _______ values and are _______ specific than confidence intervals.

A) a range of; less
B) single; more
C) a range of; more
D) single; less
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7
To determine the point estimate of a population parameter, use

A) the obtained sample values with an adjustment for standard error.
B) the denominator of the t test.
C) the numerator of the t test.
D) the appropriate confidence interval.
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Unlock for access to all 45 flashcards in this deck.
Unlock Deck
k this deck
8
For a one-sample t test, the point estimate would be

A) M
B) μ
C) MD
D) μD
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9
For an independent samples t test, the point estimate would be

A) μ₁ - μ₂
B) M₁ - M₂
C) <strong>For an independent samples t test, the point estimate would be</strong> A) μ₁ - μ₂ B) M₁ - M₂ C)   D) M<sub>D</sub>
D) MD
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10
For a repeated measures t test, the point estimate would be

A) μ₁ - μ₂
B) M₁ - M₂
C) μD
D) MD
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11
Confidence intervals are _______ specific than point estimates and involve _______ values.

A) more; single
B) less; a range of
C) more; a range of
D) less; single
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12
Which of the following components is not needed for calculating the lower and upper limits of a confidence interval?

A) an obtained statistic
B) a population parameter
C) a t-value
D) the estimated standard error
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13
If we want to establish a 99% confidence interval for the population mean, then our interval would fail to capture μ _____ percent of the time.

A) 1
B) 10
C) 100
D) .5
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14
Which is the correct formula for the upper limit of a confidence interval for a one-sample t test?

A) M + t(sM)
B) μ + t(sM)
C) MD + t (sMD)
D) μD + t (sMD)
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15
Which is the correct formula for the lower limit of a confidence interval for an independent samples t test?

A) MD - t (sMD)
B) μD - t (sMD)
C) (μ₁ - μ₂) - t (sM₁-M₂)
D) (M₁ - M₂) - t (sM₁-M₂)
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16
Which is the correct formula for the lower limit of a confidence interval for a repeated measures t test?

A) MD - t (sMD)
B) μD - t (sMD)
C) (μ₁ - μ₂) - t (sM₁-M₂)
D) (M₁ - M₂) - t (sM₁-M₂)
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17
Given the scores 10, 12, 15, and 20, what is the point estimate for μ?

A) 57
B) 14.25
C) 19
D) ±10
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18
The scores for group one in a study are 4, 5, 6, and 7. The scores for group two are 8, 9, 10, 11, and 12. What would the point estimate be for an independent samples t test?

A) -4.50
B) +4.50
C) +8.00
D) 10.29
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19
The pre-test scores for a repeated measures test were 6, 8, 10, and 9. The post-test scores for the same participants in the same order were 8, 10, 11, and 12. What would be point estimate be for μD?

A) -1.75
B) +1.75
C) +2.00
D) -2.00
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20
If we wanted to estimate a 90% confidence interval for a one-sample t test with a sample of n = 18, what t-values would we use?

A) ±1.740
B) ±1.734
C) ±2.101
D) ±2.110
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21
If we wanted to estimate a 98% confidence interval for an independent samples t test with sample sizes of n = 11 and n = 12, what t-values would we use?

A) ±2.819
B) ±2.831
C) ±2.518
D) ±2.508
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22
If we wanted to estimate an 80% confidence interval for a two-sample repeated measures t test with a sample size of n = 23, what t values would we use?

A) ±1.323
B) ±1.721
C) ±1.717
D) ±1.321
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k this deck
23
If we have established a 99% confidence interval for μ of 40 to 60, what would be the correct interpretation?

A) 99% of sample means would fall between 40 and 60.
B) 99% of population means would fall between 40 and 60.
C) We can be 99% confident that μ would be between 40 and 60.
D) We can be 99% confident that M would be between 40 and 60.
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24
If we were conducting an independent samples t test, a point estimate would be used to estimate

A) the sample mean difference.
B) the population mean difference.
C) the difference between sample means.
D) the difference between population means.
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Unlock for access to all 45 flashcards in this deck.
Unlock Deck
k this deck
25
If we were conducting repeated measures t test, a point estimate would be used to estimate

A) the sample mean difference.
B) the population mean difference.
C) the difference between sample means.
D) the difference between population means.
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Unlock for access to all 45 flashcards in this deck.
Unlock Deck
k this deck
26
A study was conducted to determine the effectiveness of interval training (alternating between walking and running at a fast pace) on running speed. A sample of n = 9 runners improved their speed on 5K runs after the training by an average of MD = 1.58 minutes with sD = .61. What would the point estimate of the mean difference be in the population?

A) 1.58
B) .1756
C) .1975
D) 7.77
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k this deck
27
A study was conducted to determine the effectiveness of interval training (alternating between walking and running at a fast pace) on running speed. A sample of n = 9 runners improved their speed on 5K runs after the training by an average of MD = 1.58 minutes with sD = .61. If we want to construct a 90% confidence interval for the population mean difference, what t-values should be used.

A) ±2.365
B) ±2.306
C) ±1.895
D) ±1.860
Unlock Deck
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k this deck
28
A study was conducted to determine the effectiveness of interval training (alternating between walking and running at a fast pace) on running speed. A sample of n = 9 runners improved their speed on 5K runs after the training by an average of MD = 1.58 minutes with sD = .61. The values for a 95% confidence interval for μD would be

A) .20 to 3.18
B) .17 to 2.99
C) 1.13 to 2.04
D) .14 to 3.02
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29
When level of confidence is ______, the range of values becomes _______.

A) decreased; broader
B) increased; broader
C) increased; more specific
D) decreased; less specific
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30
As compared to point estimates, confidence intervals are

A) less specific but we can have greater confidence that they will include the population values.
B) more specific and we have greater confidence that they will include the population values.
C) less specific and we have less confidence that they will include the population values.
D) more specific but we have less confidence that they will include the population values.
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31
When the level of confidence is increased, the range of values ______ and becomes ________ specific.

A) narrows; less
B) narrows; more
C) broadens; more
D) broadens; less
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32
Explain the difference between a point estimate and a confidence interval.
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33
If we wanted to make a point estimate for μ, what statistic would we use?
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34
If we wanted to make a point estimate for μ₁ - μ₂, what statistic would we use?
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35
If we wanted to make a point estimate for μD, what statistic would we use?
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36
What is the relationship between level of confidence and the width of the confidence interval?
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37
Based on the summary data below, construct a 90% confidence interval for μ.
M = 50
n = 15
sM = 3
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38
Based on the summary data below, construct an 80% confidence interval forμ₁ - μ₂.
M₁ = 70 with n₁ = 18
M₂ = 64 with n₂ = 15
Based on the summary data below, construct an 80% confidence interval forμ₁ - μ₂. M₁ = 70 with n₁ = 18 M₂ = 64 with n₂ = 15
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39
Based on the summary data below, construct a 98% confidence interval for μD.
MD = 11
n = 12
Based on the summary data below, construct a 98% confidence interval for μ<sub>D</sub>. M<sub>D</sub> = 11 n = 12
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40
Given the scores 31, 42, 29, and 35, what is the point estimate for μ?
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41
Group One scores 9, 12, 8, 15, and 11. Group Two scores 23, 18, 14, 20, 19, and 17. What is the point estimate for μ₁ - μ₂?
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42
The scores before a treatment intervention were 10, 8, 11, 9, and 8. The scores after the intervention were 6, 5, 6, 3, and 5, respectively. What is the point estimate for μD?
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43
Based on the summary data below, construct a 95% confidence interval forμ.
M = 25
n = 12
SS = 200
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44
Based on the summary data below, construct a 99% confidence interval for μ₁ -μ₂.
M₁ = 62 with n₁ = 14 and SS₁ = 501
M₂ = 55 with n₂ = 16 and SS₂ = 441
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45
Based on the summary data below, construct a 98% confidence interval for μD.
MD = 8
n = 24
SSD = 893
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