Question 1

Use the following to answer the questions below:
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
 
-Based on the output, give an interval that is certain to contain the 60th percentile of the distribution of financial aid amounts.

Accepted Answer

The answer of Use the following to answer the questions...

Question 2

Use the following to answer the questions below:
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
 
-What is the range of financial aid amounts?

Accepted Answer

Range = Max - Min = $35,000 - $3,400 = $31,600

Question 3

Use the following to answer the questions below:
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
 
-What is the IQR of financial aid amounts?

Accepted Answer

IQR = Q3 - Q1 = $19,275 - $ 9,925 = $9,350

Question 4

Use the following to answer the questions below:
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
 
-Is the largest financial aid amount an outlier?

Accepted Answer

IQR = $9350 or 9.35
1.5 IQR = 1.5*9.35 = 14.025
Q3 + 1.5 IQR = 19.275 + 14.025 = 33.3
Since the maximum value of 35 is above the cut-off for outliers on the high end of the distribution, 35 or $35,000 is an outlier.

Question 5

Use the following to answer the questions below:
The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.
 
-Find and interpret the z-score for the smallest financial aid amount.

Accepted Answer

z = (3.4 - 15.142)/7.362 = -1.59
Someone receiving $3,400 in financial aid is 1.59 standard deviations below the sample mean financial aid amount.

Question 6

Use the following to answer the questions below:
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.
 
-From the boxplot you can identify how many students are in the class.

Accepted Answer

A boxplot does not provide information about the total number of data points; it summarizes data distribution through quartiles and potential outliers.

Question 7

Use the following to answer the questions below:
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.
 
-Use the boxplot to estimate the median number of scars that students in the class have on their dominant hand.

Accepted Answer

The answer of Use the following to answer the questions...

Question 8

Use the following to answer the questions below:
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.
 
-The distribution of the number of scars would be classified as
A) skewed to the left.
B) roughly symmetric.
C) skewed to the right.

Accepted Answer

The distribution of the number of scars is likely to be skewed to the right because most people have few scars, but a small number of people might have many scars, creating a long tail on the right side.

Question 9

Use the following to answer the questions below:
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.
 
-Calculate the IQR for the distribution of the number of scars students have.

Accepted Answer

Q3 = 3 and Q1 = 1, so IQR = 2

Question 10

Use the following to answer the questions below:
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.
 
-Which answer best describes the following conclusion?
"There are no students with 7 scars on their dominant hand."
A) True
B) False
C) Cannot be determined

Accepted Answer

The conclusion is true because the given statement says that there are no students with 7 scars on their dominant hand.

Question 11

Use the following to answer the questions below:
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.
 
-Which answer best describes the following conclusion?
"There are no students with 2 scars on their dominant hand."
A) True
B) False
C) Cannot be determined

Accepted Answer

The conclusion cannot be determined as true or false without additional information or evidence about the students' scars on their dominant hands.

Question 12

Use the following to answer the questions below:
Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.
 
-The mean can be determined exactly from the boxplot.

Accepted Answer

A boxplot provides a visual summary of the distribution of data, including the median, quartiles, and potential outliers, but it does not provide information about the mean.

Question 13

Use the following to answer the questions below:
The side-by-side boxplots compare the top 100 men's and women's finishing times in a marathon.
 
-Which group tends to finish the race faster?
A) Men
B) Women

Accepted Answer

Men generally tend to finish races faster due to physiological differences such as muscle mass and cardiovascular capacity.

Question 14

Use the following to answer the questions below:
The side-by-side boxplots compare the top 100 men's and women's finishing times in a marathon.
 
-Which group has the larger spread in its race times?
A) Men
B) Women

Accepted Answer

The answer of Use the following to answer the questions...

Question 15

Use the following to answer the questions below:
The side-by-side boxplots compare the top 100 men's and women's finishing times in a marathon.
 
-Does there appear to be an association between gender and race time?

Accepted Answer

Yes, it appears that men tend to be faster than women. The median race time for men is well below that for women, and there is very little overlap between the distributions for the two groups.

Question 16

Use the following to answer the questions below:
The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.
 
-Which state tends to see the most tornadoes per year?
A) Kansas
B) Nebraska
C) South Dakota
D) Iowa

Accepted Answer

Kansas is part of "Tornado Alley," a region in the central United States that experiences a high frequency of tornadoes each year.

Question 17

Use the following to answer the questions below:
The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.
 
-Which state has the largest range?
A) Kansas
B) Nebraska
C) South Dakota
D) Iowa

Accepted Answer

Kansas has the largest range in elevation, from 700 feet above sea level in the southeast to 4,039 feet above sea level in the northwest.

Question 18

Use the following to answer the questions below:
The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.
 
-Which state tends to see the fewest tornadoes per year?
A) Kansas
B) Nebraska
C) South Dakota
D) Iowa

Accepted Answer

South Dakota tends to see fewer tornadoes per year compared to Kansas, Nebraska, and Iowa, which are all part of Tornado Alley and experience more frequent tornado activity.

Question 19

Use the following to answer the questions below:
The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.
 
-Which state has the largest IQR?
A) Kansas
B) Nebraska
C) South Dakota
D) Iowa

Accepted Answer

The answer of Use the following to answer the questions...

Question 20

Use the following to answer the questions below:
The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.
 
-Which state has an outlier?
A) Kansas
B) Nebraska
C) South Dakota
D) Iowa

Accepted Answer

South Dakota has the highest elevation of the four states, making it an outlier.

Quiz 2: Describing Data

Use the following to answer the questions below: The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university. -What is the range of financial aid amounts?

Use the following to answer the questions below: The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university. -What is the IQR of financial aid amounts?

Use the following to answer the questions below: The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university. -Is the largest financial aid amount an outlier?

Use the following to answer the questions below: The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university. -Find and interpret the z-score for the smallest financial aid amount.

Use the following to answer the questions below: Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot. -The mean can be determined exactly from the boxplot.

Use the following to answer the questions below: The side-by-side boxplots compare the top 100 men's and women's finishing times in a marathon. -Which group tends to finish the race faster?

Use the following to answer the questions below: The side-by-side boxplots compare the top 100 men's and women's finishing times in a marathon. -Which group has the larger spread in its race times?

Use the following to answer the questions below: The side-by-side boxplots compare the top 100 men's and women's finishing times in a marathon. -Does there appear to be an association between gender and race time?