Question 1

A numerical summary of a population is a

Accepted Answer

A)  Parameter 
B)  Statistic 
C)  Variable 
D)  Qualitative response 
A)  Parameter 
B)  Statistic 
C)  Variable 
D)  Qualitative response

Question 2

The heights of ten male students (in inches) in a college biology class are listed below. Find the mean. $\begin{array} { l l l l l l l l l l } 71 & 67 & 67 & 72 & 76 & 72 & 73 & 68 & 72 & 72 \end{array}$

Accepted Answer

A)  71 inches 
B)  67 inches 
C)  68 inches 
D)  72 inches 
A)  71 inches 
B)  67 inches 
C)  68 inches 
D)  72 inches

Question 3

Provide an appropriate response.
-Which measure of central tendency is more representative of the typical observation if the graph of the data is skewed to the right

Accepted Answer

A)  Median 
B)  Mean 
C)  Mode 
D)  Midrange 
A)  Median 
B)  Mean 
C)  Mode 
D)  Midrange

Question 4

Use the Empirical Rule to Describe Data That Are Bell Shaped
-The scores from a state standardized test have a mean of 80 and a standard deviation of 10 . The distribution of the scores is roughly bell shaped. Use the Empirical Rule to find the percentage of scores that lie between 60 and 80 .

Accepted Answer

A)  $47.5 \%$ 
B)  $68 \%$ 
C)  $34 \%$ 
D)  $95 \%$ 
A)  $47.5 \%$ 
B)  $68 \%$ 
C)  $34 \%$ 
D)  $95 \%$

Question 5

Approximate the Variance and Standard Deviation of a Variable from Grouped Data
-A 1-pound bag of peanuts contained 430 peanuts. The distribution of weights (in grams) of the peanuts is given below . What is the sample standard deviation of the weight of a peanut $\begin{array}{|l|l|}
\hline \begin{array}{l}
\text { Weights } \
\text { (grams) }
\end{array} &{\text { Frequency }} \
\hline 0.755-0.814 & 3 \
\hline 0.815-0.874 & 2 \
\hline 0.875-0.934 & 2 \
\hline 0.935-0.994 & 2 \
\hline 0.995-1.054 & 168 \
\hline 1.055-1.114 & 241 \
\hline 1.115-1.174 & 12 \
\hline
\end{array}$

Accepted Answer

A)  $0.045 \mathrm {~g}$ 
B)  $0.002 \mathrm {~g}$ 
C)  $0.209 \mathrm {~g}$ 
D)  $0.000004 \mathrm {~g}$ 
A)  $0.045 \mathrm {~g}$ 
B)  $0.002 \mathrm {~g}$ 
C)  $0.209 \mathrm {~g}$ 
D)  $0.000004 \mathrm {~g}$

Question 6

Compute the Range of a Variable from Raw Data
-$8,19,3,14,10$

Accepted Answer

A)  16 
B)  19 
C)  3 
D)  2 
A)  16 
B)  19 
C)  3 
D)  2

Question 7

Provide an appropriate response.
-Describe the shape of the histogram. The data set: Pick-Three lottery results for 10 consecutive weeks 
$\begin{array} { l l l l l l l l l l } 3 & 6 & 7 & 6 & 0 & 6 & 1 & 7 & 8 & 4 \ 1 & 5 & 7 & 5 & 9 & 1 & 5 & 3 & 9 & 9 \ 2 & 2 & 3 & 0 & 8 & 8 & 4 & 0 & 2 & 4 \end{array}$

Accepted Answer

A)  uniform 
B)  symmetric 
C)  skewed to the left 
D)  skewed to the right 
A)  uniform 
B)  symmetric 
C)  skewed to the left 
D)  skewed to the right

Question 8

Provide an appropriate response.
-If the graph of a distribution of data shows that the graph is symmetric then the

Accepted Answer

A)  Mean is a better measure of central tendency 
B)  Median is a better measure of central tendency 
C)  Mode is a better measure of central tendency 
D)  Midrange is a better measure of central tendency 
A)  Mean is a better measure of central tendency 
B)  Median is a better measure of central tendency 
C)  Mode is a better measure of central tendency 
D)  Midrange is a better measure of central tendency

Question 9

Provide an appropriate response.
-Given the following five-number summary, find the IQR. $\begin{array} { l l l l l } 2.9 , & 5.7 , & 10.0 , & 13.2 , & 21.1 \text {. } \end{array}$

Accepted Answer

A)  $7.5$ 
B)  $7.1$ 
C)  $11.1$ 
D)  $18.2$ 
A)  $7.5$ 
B)  $7.1$ 
C)  $11.1$ 
D)  $18.2$

Question 10

Determine and Interpret Quartiles
-A group of 79 students were asked how far they commute to work from home each time they go to work from home. The results are given below. Determine the first quartile. $\begin{array}{|c|c|}
\hline \begin{array}{c}
\text { Miles } \
\text { traveled }
\end{array} & \text { Frequency } \
\hline 1 & 1 \
\hline 2 & 2 \
\hline 3 & 12 \
\hline 4 & 18 \
\hline 5 & 7 \
\hline 6 & 10 \
\hline 7 & 10 \
\hline 8 & 11 \
\hline 9 & 5 \
\hline 10 & 3 \
\hline
\end{array}$

Accepted Answer

A)  $4 \mathrm { mi }$ 
B)  $3 \mathrm { mi }$ 
C)  $5 \mathrm { mi }$ 
D)  $6 \mathrm { mi }$ 
A)  $4 \mathrm { mi }$ 
B)  $3 \mathrm { mi }$ 
C)  $5 \mathrm { mi }$ 
D)  $6 \mathrm { mi }$

Question 11

Provide an appropriate response.
-The following is a sample of 19 November utility bills (in dollars) from a neighborhood: $52,62,66,68,72,74,74,76,76,76,78,78,82,84,84,86,88,92,96$. Find the five -number summary.

Accepted Answer

The answer of Provide an appropriate response.
-The following is a...

Question 12

Use the Empirical Rule to Describe Data That Are Bell Shaped
-Many firms use on-the-job training to teach their employees new software. Suppose you work in the personnel department of a firm that just finished training a group of its employees in new software, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 84 and 3 , respectively, and the distribution of scores is bell shaped. What percentage of test-takers scored better than a trainee who scored 75 ?

Accepted Answer

A)  approximately $99.85 \%$ 
B)  approximately $84 \%$ 
C)  approximately $95 \%$ 
D)  approximately $97.5 \%$ 
A)  approximately $99.85 \%$ 
B)  approximately $84 \%$ 
C)  approximately $95 \%$ 
D)  approximately $97.5 \%$

Question 13

Provide an appropriate response.
-A group of 79 students were asked how far they commute to work from home each time they go to work from home. The results are given below. Would a drive of 15 miles be considered an outlier Answer Yes or No. $\begin{array}{|c|c|}
\hline \begin{array}{c}
\text { Miles } \
\text { traveled }
\end{array} & \text { Frequency } \
\hline 1 & 1 \
\hline 2 & 2 \
\hline 3 & 12 \
\hline 4 & 18 \
\hline 5 & 7 \
\hline 6 & 10 \
\hline 7 & 10 \
\hline 8 & 11 \
\hline 9 & 5 \
\hline 10 & 3 \
\hline
\end{array}$

Accepted Answer

A)  Yes 
B)  $\mathrm { No }$ 
A)  Yes 
B)  $\mathrm { No }$

Question 14

Determine and Interpret z-Scores
-Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $91 and a standard deviation of $13. Assuming the distribution is mound-shaped and symmetric, would you expect to see a 3-bedroom house using gas or electric energy with a monthly utility bill of $182.00 Explain.

Accepted Answer

The z-score for the value $182

Question 15

Determine and Interpret z-Scores
-Find the $z$-score for the value 76 , when the mean is 63 and the standard deviation is 4 .

Accepted Answer

A)  $\mathrm { z } = 3.25$ 
B)  $z = 3.00$ 
C)  $\mathrm { z } = - 1.14$ 
D)  $z = 1.14$ 
A)  $\mathrm { z } = 3.25$ 
B)  $z = 3.00$ 
C)  $\mathrm { z } = - 1.14$ 
D)  $z = 1.14$

Question 16

Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
-The percentage of measurements that are above the 39th percentile is

Accepted Answer

A)  61% 
B)  39% 
C)  71% 
D)  cannot determine 
A)  61% 
B)  39% 
C)  71% 
D)  cannot determine

Question 17

Draw and Interpret Boxplots
-The test scores of 30 students are listed below. Draw a boxplot that represents the data. $$\begin{array} { l l l l l l l l l l } 
31 & 41 & 45 & 48 & 52 & 55 & 56 & 56 & 63 & 65 \
67 & 67 & 69 & 70 & 70 & 74 & 75 & 78 & 79 & 79 \
80 & 81 & 83 & 85 & 85 & 87 & 90 & 92 & 95 & 99
\end{array}$$

Accepted Answer

The answer of Draw and Interpret Boxplots
-The test scores of...

Question 18

Determine the Median of a Variable from Raw Data
-The following data represents a random sample of 15 complaints registered with the customer service department of a store. Determine the median complaint. $\begin{array} { l l l } \text { Other } & \text { defective product } & \text { excessive waiting time } \ \text { Messy store } & \text { other } & \text { other } \ \text { Messy store } & \text { other } & \text { messy store } \ \text { Other } & \text { messy store } & \text { messy store } \ \text { Defective product } & \text { other } & \text { messy store } \end{array}$

Accepted Answer

A)  No median 
B)  Messy store 
C)  Defective product 
D)  Excessive waiting time 
A)  No median 
B)  Messy store 
C)  Defective product 
D)  Excessive waiting time

Question 19

Determine the Mode of a Variable from Raw Data
-The following data represent a random sample of 15 complaints registered with the customer service department of a store. Determine the mode complaint. $\begin{array} { l l l } \text { other } & \text { defective product } & \text { excessive waiting time } \ \text { messy store } & \text { other } & \text { other } \ \text { messy store } & \text { rude personnel } & \text { messy store } \ \text { other } & \text { messy store } & \text { messy store } \ \text { defective product } & \text { other } & \text { messy store } \end{array}$

Accepted Answer

A)  messy store 
B)  other 
C)  excessive waiting time 
D)  no mode 
A)  messy store 
B)  other 
C)  excessive waiting time 
D)  no mode

Question 20

Provide an appropriate response.
-The one way distances from work (in miles) of 30 employees are listed below. Find the interquartile range of the 30 distances listed below. $$\begin{array} { l l l l l l l l l l } 
25 & 25 & 26 & 26.5 & 27 & 27 & 27.5 & 28 & 28 & 28.5 \
29 & 29 & 30 & 30 & 30.5 & 31 & 31 & 32 & 32.5 & 32.5 \
33 & 33 & 34 & 34.5 & 35 & 35 & 37 & 37 & 38 & 38
\end{array}$$

Accepted Answer

The answer of Provide an appropriate response.
-The one way distances...

A numerical summary of a population is a

The heights of ten male students (in inches) in a college biology class are listed below. Find the mean. 71 67 67 72 76 72 73 68 72 72

Provide an appropriate response. -Which measure of central tendency is more representative of the typical observation if the graph of the data is skewed to the right

Use the Empirical Rule to Describe Data That Are Bell Shaped -The scores from a state standardized test have a mean of 80 and a standard deviation of 10 . The distribution of the scores is roughly bell shaped. Use the Empirical Rule to find the percentage of scores that lie between 60 and 80 .

Compute the Range of a Variable from Raw Data - $8,19,3,14,10$

Provide an appropriate response. -Describe the shape of the histogram. The data set: Pick-Three lottery results for 10 consecutive weeks 3 6 7 6 0 6 1 7 8 4 1 5 7 5 9 1 5 3 9 9 2 2 3 0 8 8 4 0 2 4

Provide an appropriate response. -If the graph of a distribution of data shows that the graph is symmetric then the

Provide an appropriate response. -Given the following five-number summary, find the IQR. 2.9, 5.7, 10.0, 13.2, 21.1 .

Determine and Interpret Quartiles -A group of 79 students were asked how far they commute to work from home each time they go to work from home. The results are given below. Determine the first quartile. Miles traveled Frequency 1 1 2 2 3 12 4 18 5 7 6 10 7 10 8 11 9 5 10 3

Provide an appropriate response. -The following is a sample of 19 November utility bills (in dollars) from a neighborhood: $52,62,66,68,72,74,74,76,76,76,78,78,82,84,84,86,88,92,96$ . Find the five -number summary.

Determine and Interpret z-Scores -Find the $z$ -score for the value 76 , when the mean is 63 and the standard deviation is 4 .

Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. -The percentage of measurements that are above the 39th percentile is

Draw and Interpret Boxplots -The test scores of 30 students are listed below. Draw a boxplot that represents the data. 31 41 45 48 52 55 56 56 63 65 67 67 69 70 70 74 75 78 79 79 80 81 83 85 85 87 90 92 95 99

Provide an appropriate response. -The one way distances from work (in miles) of 30 employees are listed below. Find the interquartile range of the 30 distances listed below. 25 25 26 26.5 27 27 27.5 28 28 28.5 29 29 30 30 30.5 31 31 32 32.5 32.5 33 33 34 34.5 35 35 37 37 38 38

Data Collection

Creating Tables and Drawing Pictures of Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model and Multiple Regression

Nonparametric Statistics

Filters

Exam 3: Numerically Summarizing Data

A numerical summary of a population is a

The heights of ten male students (in inches) in a college biology class are listed below. Find the mean. 71 67 67 72 76 72 73 68 72 72

Provide an appropriate response. -Which measure of central tendency is more representative of the typical observation if the graph of the data is skewed to the right

Use the Empirical Rule to Describe Data That Are Bell Shaped -The scores from a state standardized test have a mean of 80 and a standard deviation of 10 . The distribution of the scores is roughly bell shaped. Use the Empirical Rule to find the percentage of scores that lie between 60 and 80 .

Compute the Range of a Variable from Raw Data - 8,19,3,14,108,19,3,14,108,19,3,14,10

Provide an appropriate response. -Describe the shape of the histogram. The data set: Pick-Three lottery results for 10 consecutive weeks 3 6 7 6 0 6 1 7 8 4 1 5 7 5 9 1 5 3 9 9 2 2 3 0 8 8 4 0 2 4

Provide an appropriate response. -If the graph of a distribution of data shows that the graph is symmetric then the

Provide an appropriate response. -Given the following five-number summary, find the IQR. 2.9, 5.7, 10.0, 13.2, 21.1 .

Determine and Interpret Quartiles -A group of 79 students were asked how far they commute to work from home each time they go to work from home. The results are given below. Determine the first quartile. Miles traveled Frequency 1 1 2 2 3 12 4 18 5 7 6 10 7 10 8 11 9 5 10 3

Determine and Interpret z-Scores -Find the zzz -score for the value 76 , when the mean is 63 and the standard deviation is 4 .

Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. -The percentage of measurements that are above the 39th percentile is

Draw and Interpret Boxplots -The test scores of 30 students are listed below. Draw a boxplot that represents the data. 31 41 45 48 52 55 56 56 63 65 67 67 69 70 70 74 75 78 79 79 80 81 83 85 85 87 90 92 95 99

Provide an appropriate response. -The one way distances from work (in miles) of 30 employees are listed below. Find the interquartile range of the 30 distances listed below. 25 25 26 26.5 27 27 27.5 28 28 28.5 29 29 30 30 30.5 31 31 32 32.5 32.5 33 33 34 34.5 35 35 37 37 38 38

Data Collection

Creating Tables and Drawing Pictures of Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model and Multiple Regression

Nonparametric Statistics

Filters

Compute the Range of a Variable from Raw Data - $8,19,3,14,10$

Determine and Interpret z-Scores -Find the $z$ -score for the value 76 , when the mean is 63 and the standard deviation is 4 .