Question 1

An engineer is designing a machine to manufacture gloves and she obtains the following
sample of hand lengths (mm)of randomly selected adult males. A frequency distribution is
created from the data. The frequencies in order are 1, 8, 56, 237, 382, 228, 48, 4, 1. Does it
appear that the sample is from a population with a normal distribution? Explain.

Accepted Answer

The answer of An engineer is designing a machine to...

Question 2

The mean of a set of data is 108.06 and its standard deviation is 115.45. Find the z score for a value of 489.67.

Accepted Answer

A) 2.98 
B) 3.64 
C) 3.31 
D) 3.61

Question 3

A student earned grades of B, B, A, C, and D. Those courses had these corresponding numbers of credit hours:  4,5,1,5,4 . The grading system assigns quality points to letter grades as follows:  A=4, B=3, C=2, D=1 , and  F=0 . Compute the grade point average (GPA) and round the result to two decimal places.

Accepted Answer

A)   9.00 
B)   3.46 
C)   2.37 
D)   1.37

Question 4

The prices (in dollars)of 12 electric smoothtop ranges are listed below. Find the range for the given sample data. 
$\begin{array} { c c c c c c } 
865 & 1010 & 655 & 565 & 1465 & 1110 \
710 & 765 & 820 & 1310 & 555 & 1065
\end{array}$

Accepted Answer

A) $900 
B) $920 
C) $930 
D) $910

Question 5

Listed below are the amounts of time (in months)that the employees of a restaurant have been working at the restaurant. Find the mean for the given sample data. Round your
Answer to one more decimal place than the original data values. $$\begin{array} { l l l l l l l l l l l l l l } 
1 & 5 & 6 & 8 & 11 & 14 & 17 & 46 & 61 & 90 & 99 & 126 & 143 & 167
\end{array}$$

Accepted Answer

A) 31.5 months 
B) 61.1 months 
C) 56.7 months 
D) 52.9 months

Question 6

A department store has daily mean sales of $ 28,372.72. The standard deviation of sales is $2000. On Tuesday, the store sold $34,885.21 worth of goods. Find Tuesday's z score. Was
Tuesday a significantly good day?

Accepted Answer

A) 3.26, yes 
B) 3.42, no 
C) 2.61, no 
D) 3.57, yes

Question 7

Listed below are the arrival delay times (in minutes)of randomly selected flights between New
York's JFK airport to Los Angeles (LAX). Negative values correspond to flights that arrive
before their schedule time and positive values represent delays. Calculate the range of the data
and the standard deviation. Can the standard deviation be negative? $$\begin{array} { l l l l l l l l } 
- 15 & - 18 & - 32 & - 21 & - 9 & - 32 & 11 & 2
\end{array}$$

Accepted Answer

The answer of Listed below are the arrival delay times...

Question 8

Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test have a mean of 21.1 and a standard deviation of 4.8. Which of the following
Choices is not true?

Accepted Answer

A) An SAT score of 1490 has a z score of -0.09. 
B) An ACT score of 17.0 has a z score of -0.85. 
C) The SAT score of 1490 is relatively better than the ACT score of 17.0. 
D) The ACT score of 17.0 is relatively better than the SAT score of 1490.

Question 9

A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Find the z_ score corresponding to the given value and use the z score to determine whether the value is
Significant. Consider a score to be significant if its z score is less than -2.00 or greater than
2.00. Round the z score to the nearest tenth if necessary.

Accepted Answer

A) -17.6; significant 
B) -1.6; significant 
C) -1.6; not significant 
D) 1.6; not significant

Question 10

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. $$\begin{array} { l l l l l l } 
22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3
\end{array}$$

Accepted Answer

A) 36.1 
B) 4347.7 
C) 3999.0 
D) 8.35

Question 11

The heights of the adults in one town have a mean of 67.1 inches and a standard deviation of 3.5 inches. What can you conclude from Chebyshev's theorem about the percentage of adults
In the town whose heights are between 60.1 and 74.1 inches?

Accepted Answer

A) The percentage is at most 75%. 
B) The percentage is at most 95%. 
C) The percentage is at least 95%. 
D) The percentage is at least 75%.

Question 12

If the standard deviation for a set of data is 0, which of the following must be true?_

Accepted Answer

A) All the data values equal 0. 
B) All of the data values are identical. 
C) All of the data values are negative. 
D) None of the above must be true since standard deviation cannot be equal to 0.

Question 13

Describe any similarities or differences in the two distributions represented by the following
boxplots. Assume the two boxplots have the same scale.

Accepted Answer

The answer of Describe any similarities or differences in the...

Question 14

The owner of a manufacturing plant employs eighty people. As part of their personnel file, she_ asked each one to record to the nearest one-tenth of a mile the distance they travel one way
From home to work. The distances for a random sample of six employees are listed below: $$\begin{array} { l l l l l l } 
26 & 32 & 29 & 16 & 45 & 19
\end{array}$$ Find the variance for the given data.

Accepted Answer

A)  $18.9 \mathrm { mi } ^ { 2 }$ 
B)  $5043.6 \mathrm { mi } ^ { 2 }$ 
C)  $15.8 \mathrm { mi } ^ { 2 }$ 
D)  $107.0 \mathrm { mi } ^ { 2 }$

Question 15

Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z = -1.5. What is her temperature? Round your
Answer to the nearest hundredth.

Accepted Answer

A) 97.27° F 
B) 99.13° F 
C) 96.70° F 
D) 95.79° F

Question 16

The number of vehicles passing through a bank drive -up line during each 15-minute period was recorded. The results are shown below. Find the median number of vehicles going
Through the line in a 15-minute period. $\begin{array} { l l l l } 25 & 27 & 25 & 28 \end{array}$
$\begin{array} { l l l l } 28 & 25 & 30 & 27 \end{array}$
$ \begin{array}{llll}35 & 31 & 31 & 29 \ 24 & 31 & 25 & 20\end{array} $
$ \begin{array}{llll}15 & 27 & 27 & 27\end{array} $

Accepted Answer

A) 26.85 vehicles 
B) 28 vehicles 
C) 27 vehicles 
D) 31 vehicles

Question 17

Find the standard deviation for the given sample data. Round your answer to one more decimal_ place than the original data. $$\begin{array} { l l l l l l } 
22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3
\end{array}$$

Accepted Answer

A) 8.35 
B) 3999.0 
C) 4347.7 
D) 36.1

Question 18

Use the given sample data to find $Q _ { 2 } .$ ._ $\begin{array} { l l l l l l l l } 
49 & 52 & 52 & 52 & 74 & 67 & 55 & 55
\end{array}$

Accepted Answer

A) 67.0 
B) 55.0 
C) 6.0 
D) 61.0

Question 19

An engineer is designing a machine to manufacture gloves and she obtains the following
sample of hand lengths (mm)of randomly selected adult males based on data gathered: $$\begin{array} { l l l l l l l l } 
173 & 179 & 207 & 158 & 196 & 195 & 214 & 199
\end{array}$$ Define this data set as discrete or continuous. The hand lengths is what type of level of
measurement? Compare the mean and median for this data set and if you can draw any
conclusions from these values.

Accepted Answer

The answer of An engineer is designing a machine to...

Question 20

Find the variance for the given sample data. Round your answer to one more decimal place_ than the original data. $$\begin{array} { l l l l l } 
7 & 7 & 2 & 5 & 1
\end{array}$$

Accepted Answer

A) 7.7 
B) 11.8 
C) 7.8 
D) 6.2

Exam 3: Describing, Exploring, and Comparing Data

The mean of a set of data is 108.06 and its standard deviation is 115.45. Find the z score for a value of 489.67.

The prices (in dollars) of 12 electric smoothtop ranges are listed below. Find the range for the given sample data. $\begin{array} { c c c c c c } 865 & 1010 & 655 & 565 & 1465 & 1110 \\710 & 765 & 820 & 1310 & 555 & 1065\end{array}$

A department store has daily mean sales of $ 28,372.72. The standard deviation of sales is $2000. On Tuesday, the store sold $34,885.21 worth of goods. Find Tuesday's z score. Was Tuesday a significantly good day?

Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test have a mean of 21.1 and a standard deviation of 4.8. Which of the following Choices is not true?

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. $\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3\end{array}$

The heights of the adults in one town have a mean of 67.1 inches and a standard deviation of 3.5 inches. What can you conclude from Chebyshev's theorem about the percentage of adults In the town whose heights are between 60.1 and 74.1 inches?

If the standard deviation for a set of data is 0, which of the following must be true?_

Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z = -1.5. What is her temperature? Round your Answer to the nearest hundredth.

Find the standard deviation for the given sample data. Round your answer to one more decimal_ place than the original data. $\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3\end{array}$

Use the given sample data to find $Q _ { 2 } .$ ._ $\begin{array} { l l l l l l l l } 49 & 52 & 52 & 52 & 74 & 67 & 55 & 55\end{array}$

Find the variance for the given sample data. Round your answer to one more decimal place_ than the original data. $\begin{array} { l l l l l } 7 & 7 & 2 & 5 & 1\end{array}$

Exam 3: Describing, Exploring, and Comparing Data

The mean of a set of data is 108.06 and its standard deviation is 115.45. Find the z score for a value of 489.67.

A department store has daily mean sales of $ 28,372.72. The standard deviation of sales is $2000. On Tuesday, the store sold $34,885.21 worth of goods. Find Tuesday's z score. Was Tuesday a significantly good day?

Scores on the SAT test have a mean of 1518 and a standard deviation of 325. Scores on the ACT test have a mean of 21.1 and a standard deviation of 4.8. Which of the following Choices is not true?

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. 22.616.136.136.023.820.3\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3\end{array}22.6​16.1​36.1​36.0​23.8​20.3​

The heights of the adults in one town have a mean of 67.1 inches and a standard deviation of 3.5 inches. What can you conclude from Chebyshev's theorem about the percentage of adults In the town whose heights are between 60.1 and 74.1 inches?

If the standard deviation for a set of data is 0, which of the following must be true?_

Describe any similarities or differences in the two distributions represented by the following boxplots. Assume the two boxplots have the same scale.

Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z = -1.5. What is her temperature? Round your Answer to the nearest hundredth.

Find the standard deviation for the given sample data. Round your answer to one more decimal_ place than the original data. 22.616.136.136.023.820.3\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3\end{array}22.6​16.1​36.1​36.0​23.8​20.3​

Use the given sample data to find Q2.Q _ { 2 } .Q2​. ._ 4952525274675555\begin{array} { l l l l l l l l } 49 & 52 & 52 & 52 & 74 & 67 & 55 & 55\end{array}49​52​52​52​74​67​55​55​

Find the variance for the given sample data. Round your answer to one more decimal place_ than the original data. 77251\begin{array} { l l l l l } 7 & 7 & 2 & 5 & 1\end{array}7​7​2​5​1​

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. $\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3\end{array}$

Find the standard deviation for the given sample data. Round your answer to one more decimal_ place than the original data. $\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3\end{array}$

Use the given sample data to find $Q _ { 2 } .$ ._ $\begin{array} { l l l l l l l l } 49 & 52 & 52 & 52 & 74 & 67 & 55 & 55\end{array}$

Find the variance for the given sample data. Round your answer to one more decimal place_ than the original data. $\begin{array} { l l l l l } 7 & 7 & 2 & 5 & 1\end{array}$