Question 1

The mean and the median are useful measures of central tendency for both qualitative and
quantitative data.

Accepted Answer

A) True 
 B)False

Question 2

A histogram can be constructed using either class frequencies or class relative frequencies as the
heights of the bars.

Accepted Answer

A) True 
 B)False

Question 3

What class percentage corresponds to a class relative frequency of .37?

Accepted Answer

A) 37% 
B) 63% 
C) .37% 
D) .63% 
A) 37% 
B) 63% 
C) .37% 
D) .63%

Question 4

Which of the following is not a measure of central tendency?

Accepted Answer

A) mode 
B) median 
C) range 
D) mean 
A) mode 
B) median 
C) range 
D) mean

Question 5

Various state and national automobile associations regularly survey gasoline stations to
determine the current retail price of gasoline. Suppose one such national association
contacts 200 stations in the United States to determine the price of regular unleaded
gasoline at each station. In the context of this problem, define the following descriptive
measures: $$\mu  , \ { \sigma } , \bar { x } , s$$

Accepted Answer

@#LAT-DLM& is the mean price of the regular unlead

Question 6

A retail storeʹs customer satisfaction rating is at the 88th percentile. What percentage of
retail stores has higher customer satisfaction ratings than this store?

Accepted Answer

The answer of A retail storeʹs customer satisfaction rating is...

Question 7

Fill in the blank. __________ is a method of interpreting the standard deviation of data that have a mound-shaped, symmetric distribution.

Accepted Answer

A) Chebyshevʹs Rule 
B) The Empirical Rule 
C) both A and B 
D) neither A nor B 
A) Chebyshevʹs Rule 
B) The Empirical Rule 
C) both A and B 
D) neither A nor B

Question 8

Which of the following statements could be an explanation for the presence of an outlier in the data?

Accepted Answer

A) The measurement belongs to a population different from that from which the rest of the sample was drawn. 
B) The measurement may be correct and from the same population as the rest but represents a rare event. Generally, we accept this explanation only after carefully ruling out all others. 
C) The measurement is incorrect. It may have been observed, recorded, or entered into the computer incorrectly. 
D) All of the above are explanations for outliers. 
A) The measurement belongs to a population different from that from which the rest of the sample was drawn. 
B) The measurement may be correct and from the same population as the rest but represents a rare event. Generally, we accept this explanation only after carefully ruling out all others. 
C) The measurement is incorrect. It may have been observed, recorded, or entered into the computer incorrectly. 
D) All of the above are explanations for outliers.

Question 9

Class relative frequencies must be used, rather than class frequencies or class percentages, when
constructing a Pareto diagram.

Accepted Answer

A) True 
 B)False

Question 10

Which number on the screen below is the sample standard deviation of the data?

Accepted Answer

A) 2.67 
B) 2.82 
C) 5.8 
D) 408 
A) 2.67 
B) 2.82 
C) 5.8 
D) 408

Question 11

The following data represent the scores of 50 students on a statistics exam. The mean
score is 80.02, and the standard deviation is 11.9. $$\begin{array} { l l l l l l l l l l } 
39 & 51 & 59 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \
71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \
79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \
85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \
90 & 90 & 91 & 91 & 92 & 95 & 96 & 97 & 97 & 98
\end{array}$$ Use the z-score method to identify potential outliers among the scores.

Accepted Answer

The z-score of 39 is -3.46. Si

Question 12

For any quantitative data set, $\sum ( x , \bar { x } ) = 0$

Accepted Answer

A) True 
 B)False

Question 13

A recent survey was conducted 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 $97 and a standard deviation of
$12. If nothing is known about the shape of the distribution, what percentage of homes will have a
Monthly utility bill of less than $73?

Accepted Answer

A) at most 11.1% 
B) at least 75% 
C) at least 88.9% 
D) at most 25% 
A) at most 11.1% 
B) at least 75% 
C) at least 88.9% 
D) at most 25%

Question 14

Each year advertisers spend billions of dollars purchasing commercial time on network television. In the first 6 months of one year, advertisers spent $1.1 billion. Who were the largest spenders? In a
Recent article, the top 10 leading spenders and how much each spent (in million of dollars)were
Listed: $$\begin{array} { l r l l } 
\text { Company A } & \$ 72 & \text { Company F } & \$ 27.3 \
\text { Company B } & 63.6 & \text { Company G } & 25 \
\text { Company C } & 57.3 & \text { Company H } & 23.8 \
\text { Company D } & 54 & \text { Company I } & 23.1 \
\text { Company E } & 31.1 & \text { Company J } & 19.2
\end{array}$$ Calculate the sample variance.

Accepted Answer

A) 391.238 
B) 3883.082 
C) 1919.040 
D) 2141.564 
A) 391.238 
B) 3883.082 
C) 1919.040 
D) 2141.564

Question 15

Which of the following statements concerning the box plot and z-score methods for detecting outliers is false?

Accepted Answer

A) The z-score method uses the mean and standard deviation as a basis for detecting outliers. 
B) The box plot method uses the quartiles as a basis for detecting outliers. 
C) The z-score method is less affected by an extreme observation in the data set. 
D) The box plot method is less affected by an extreme observation in the data set. 
A) The z-score method uses the mean and standard deviation as a basis for detecting outliers. 
B) The box plot method uses the quartiles as a basis for detecting outliers. 
C) The z-score method is less affected by an extreme observation in the data set. 
D) The box plot method is less affected by an extreme observation in the data set.

Question 16

A radio station claims that the amount of advertising each hour has a mean of 13 minutes and a standard deviation of 1.8 minutes. You listen to the radio station for 1 hour and observe that the
Amount of advertising time is 8 minutes. Calculate the z-score for this amount of advertising time.

Accepted Answer

A) z = -9 
B) z = 0.48 
C) z = -2.78 
D) z = 2.78 
A) z = -9 
B) z = 0.48 
C) z = -2.78 
D) z = 2.78

Question 17

Find the z-score for the value 83, when the mean is 52 and the standard deviation is 6.

Accepted Answer

A) z = 5.00 
B) z = -1.48 
C) z = 5.17 
D) z = 1.48 
A) z = 5.00 
B) z = -1.48 
C) z = 5.17 
D) z = 1.48

Question 18

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player
Was 101 miles per hour (mph)and the standard deviation of the serve speeds was 11 mph. If
Nothing is known about the shape of the distribution, give an interval that will contain the speeds
Of at least eight-ninths of the playerʹs serves.

Accepted Answer

A) 79 mph to 123 mph 
B) 68 mph to 134 mph 
C) 134 mph to 167 mph 
D) 57 mph to 145 mph 
A) 79 mph to 123 mph 
B) 68 mph to 134 mph 
C) 134 mph to 167 mph 
D) 57 mph to 145 mph

Question 19

The temperature fluctuated between a low of 73°F and a high of 89°F. Which of the following could be calculated using just this information?

Accepted Answer

A) median 
B) range 
C) variance 
D) standard deviation 
A) median 
B) range 
C) variance 
D) standard deviation

Question 20

Calculate the variance of a sample for which $n = 5 , \sum ^ { 2 } = 1320 , \sum ^ { x } = 80$

Accepted Answer

A)  8.00 
B)  3.16 
C)  10.00 
D)  326.00 
A)  8.00 
B)  3.16 
C)  10.00 
D)  326.00

The mean and the median are useful measures of central tendency for both qualitative and quantitative data.

A histogram can be constructed using either class frequencies or class relative frequencies as the heights of the bars.

What class percentage corresponds to a class relative frequency of .37?

Which of the following is not a measure of central tendency?

A retail storeʹs customer satisfaction rating is at the 88th percentile. What percentage of retail stores has higher customer satisfaction ratings than this store?

Fill in the blank. __________ is a method of interpreting the standard deviation of data that have a mound-shaped, symmetric distribution.

Which of the following statements could be an explanation for the presence of an outlier in the data?

Class relative frequencies must be used, rather than class frequencies or class percentages, when constructing a Pareto diagram.

Which number on the screen below is the sample standard deviation of the data?

For any quantitative data set, $\sum ( x , \bar { x } ) = 0$

Which of the following statements concerning the box plot and z-score methods for detecting outliers is false?

A radio station claims that the amount of advertising each hour has a mean of 13 minutes and a standard deviation of 1.8 minutes. You listen to the radio station for 1 hour and observe that the Amount of advertising time is 8 minutes. Calculate the z-score for this amount of advertising time.

Find the z-score for the value 83, when the mean is 52 and the standard deviation is 6.

The temperature fluctuated between a low of 73°F and a high of 89°F. Which of the following could be calculated using just this information?

Calculate the variance of a sample for which $n = 5 , \sum ^ { 2 } = 1320 , \sum ^ { x } = 80$

Statistics, Data, and Statistical Thinking

Probability

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Inferences Based on a Single Sample: Estimation With Confidence Intervals

Inferences Based on a Single

Inferences Based on Two Samples: Confidence Intervals and Tests of Hypotheses

Analysis of Variance: Comparing More Than Two Means

Simple Linear Regression

Multiple Regression and Model Building

Categorical Data Analysis

Nonparametric Statistics Available Online

Filters

Exam 2: Methods for Describing Sets of Data

The mean and the median are useful measures of central tendency for both qualitative and quantitative data.

A histogram can be constructed using either class frequencies or class relative frequencies as the heights of the bars.

What class percentage corresponds to a class relative frequency of .37?

Which of the following is not a measure of central tendency?

A retail storeʹs customer satisfaction rating is at the 88th percentile. What percentage of retail stores has higher customer satisfaction ratings than this store?

Fill in the blank. __________ is a method of interpreting the standard deviation of data that have a mound-shaped, symmetric distribution.

Which of the following statements could be an explanation for the presence of an outlier in the data?

Class relative frequencies must be used, rather than class frequencies or class percentages, when constructing a Pareto diagram.

Which number on the screen below is the sample standard deviation of the data?

For any quantitative data set, ∑(x,xˉ)=0\sum ( x , \bar { x } ) = 0∑(x,xˉ)=0

Which of the following statements concerning the box plot and z-score methods for detecting outliers is false?

A radio station claims that the amount of advertising each hour has a mean of 13 minutes and a standard deviation of 1.8 minutes. You listen to the radio station for 1 hour and observe that the Amount of advertising time is 8 minutes. Calculate the z-score for this amount of advertising time.

Find the z-score for the value 83, when the mean is 52 and the standard deviation is 6.

The temperature fluctuated between a low of 73°F and a high of 89°F. Which of the following could be calculated using just this information?

Calculate the variance of a sample for which n=5,∑2=1320,∑x=80n = 5 , \sum ^ { 2 } = 1320 , \sum ^ { x } = 80n=5,∑2=1320,∑x=80

Statistics, Data, and Statistical Thinking

Probability

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Inferences Based on a Single Sample: Estimation With Confidence Intervals

Inferences Based on a Single

Inferences Based on Two Samples: Confidence Intervals and Tests of Hypotheses

Analysis of Variance: Comparing More Than Two Means

Simple Linear Regression

Multiple Regression and Model Building

Categorical Data Analysis

Nonparametric Statistics Available Online

Filters

For any quantitative data set, $\sum ( x , \bar { x } ) = 0$

Calculate the variance of a sample for which $n = 5 , \sum ^ { 2 } = 1320 , \sum ^ { x } = 80$