Question 1

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 2

When finding percentiles, if the locator L is not a whole number, one procedure is to interpolate so that a locator of 23.75, for example, leads to a value that is 3/4 of the way between the 23rd and 24th scores. Use this method of interpolation to find P75 for the set of
Test scores below. $\begin{array} { l l l l l l } 51 & 54 & 64 & 68 & 72 & 74 \ 76 & 83 & 94 & 94 & 99 & \end{array}$

Accepted Answer

A)  83 
B)  $88.5$ 
C)  $85.75$ 
D)  94

Question 3

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 4

The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The team's center is 6.9 feet tall. Find the center's z score. Is his score unusual?

Accepted Answer

A)  4.95, yes 
B)  4.5, yes 
C)  3.83, no 
D)  4, no

Question 5

Find the variance for the given data. Round your answer to one more decimal place than the original data. To get the best deal on a microwave oven, Jeremy called six appliance stores and asked the cost of a specific model. The prices he was quoted are listed below: $\begin{array} { l l l l l l } \$ 663 & \$ 273 & \$ 410 & \$ 622 & \$ 174 & \$ 374 \end{array}$

Accepted Answer

A)  $36,838.2$ dollars 2 
B)  $36,838.3$ dollars 2 
C)  $30,698.6$ dollars $^ { 2 }$ 
D)  $1,207,582.7$ dollars $^ { 2 }$

Question 6

A student earned grades of 84, 78, 84, and 72 on her four regular tests. She earned a grade of 78 on the final exam and 86 on her class projects. Her combined homework grade was 87. The four regular tests count for 40% of the course grade, the final exam counts for 30%, the project
Counts for 10%, and homework counts for 20%. What is her weighted mean grade? Round to
One decimal place.

Accepted Answer

A)  81.3 
B)  80.2 
C)  81.2 
D)  82.1

Question 7

The local Tupperware dealers earned these commissions last month: $\begin{array} { l l l l l } \$ 2894.21 & \$ 1777.15 & \$ 2144.77 & \$ 4096.37 & \$ 4046.29 \ \$ 1786.37 & \$ 3296.69 & \$ 4086.27 & \$ 2784.22 & \$ 4027.79 \end{array}$
What was the mean commission earned? Round your answer to the nearest cent.

Accepted Answer

A)  $\$ 3094.01$ 
B)  $\$ 3867.52$ 
C)  $\$ 3437.79$ 
D)  $\$ 3088.01$

Question 8

The number of hours per day a college student spends on homework has a mean of 6 hours and a standard deviation of 1.25 hours. Yesterday she spent 3 hours on homework. How many standard deviations from the mean is that? Round your answer to two decimal places.

Accepted Answer

A)  1.20 standard deviations below the mean 
B)  1.20 standard deviations above the mean 
C)  2.40 standard deviations below the mean 
D)  2.40 standard deviations above the mean

Question 9

The test scores of 40 students are listed below. $\begin{array} { l l l l l l l l l l } 30 & 35 & 43 & 44 & 47 & 48 & 54 & 55 & 56 & 57 \end{array}$
$\begin{array} { l l l l l l l l l l } 59 & 62 & 63 & 65 & 66 & 68 & 69 & 69 & 71 & 72 \end{array}$
$\begin{array} { l l l l l l l l l l l } 72 & 73 & 74 & 76 & 77 & 77 & 78 & 79 & 80 & 81 \end{array}$
$\begin{array} { l l l l l l l l l l } 81 & 82 & 83 & 85 & 89 & 92 & 93 & 94 & 97 & 98 \end{array}$

Accepted Answer

A)  $73.5$ 
B)  $22.4$ 
C)  74 
D)  73

Question 10

Use the following duration times (seconds) of 24 eruptions of the Old Faithful geyser in Yellowstone National Park. The duration times are sorted from lowest to highest.
 $\begin{array} { c c c c c c c c c c c c } 
110 & 120 & 178 & 213 & 234 & 234 & 235 & 237 & 240 & 243 & 245 & 245 \
250 & 250 & 251 & 252 & 254 & 255 & 255 & 259 & 260 & 266 & 269 & 273
\end{array}$ 
Construct a boxplot and make observations about the shape, if there is skewness including in what direction, and if there are any outliers. Explain the skewness in terms of the difference between $Q _ { 1 }$ and the median and  $Q _ { 3 }$  and the median.

Accepted Answer

The answer of Use the following duration times (seconds) of...

Question 11

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 12

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 13

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 14

Explain how two data sets could have equal means and modes but still differ greatly. Give an example with two data sets to illustrate.

Accepted Answer

The answer of Explain how two data sets could have...

Question 15

A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. $\begin{array}{r|c}
\text { Salary (dollars) } & \text { Employees } \
\hline 5,001-10,000 & 19 \
10,001-15,000 & 14 \
15,001-20,000 & 12 \
20,001-25,000 & 16 \
25,001-30,000 & 19
\end{array}$

Accepted Answer

A)  $\$ 7967.5$ 
B)  $\$ 7588.1$ 
C)  $\$ 8195.1$ 
D)  $\$ 8422.8$

Question 16

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 17

Scores on a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle's score to a z score.

Accepted Answer

A)  9 
B)  -1 
C)  1 
D)  -9

Question 18

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 19

Jorge has his own business as a painter. The amounts he made in the last five months are shown below: $\begin{array} { l l l l l } \$ 2426 & \$ 2463 & \$ 1451 & \$ 2154 & \$ 1119 \end{array}$
Find the mean, median, and range of the data.

Accepted Answer

A)  Mean $= \$ 1923$, Median $= \$ 2154$, Range $= \$ 1344$ 
B)  Mean $= \$ 2154$, Median $= \$ 1923$, Range $= \$ 1344$ 
C)  Mean $= \$ 1923$, Median $= \$ 2154$, Range $= - \$ 1344$

Question 20

The table below provides a frequency distribution for the winner of the Davis Cup Tennis Competition during the period 1977-1994. 
$\begin{array} { l c } 
\text { Winner of } & \
\text { Davis Cup } & \text { Frequency } \
\hline \text { United States } & 6 \
\text { Germany } & 3 \
\text { Czechoslovakia } & 1 \
\text { Australia } & 3 \
\text { France } & 1 \
\text { Sweden } & 4
\end{array}$

Accepted Answer

The answer of The table below provides a frequency distribution...

Exam 3: Describing, Exploring, and Comparing Data

The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The team's center is 6.9 feet tall. Find the center's z score. Is his score unusual?

The number of hours per day a college student spends on homework has a mean of 6 hours and a standard deviation of 1.25 hours. Yesterday she spent 3 hours on homework. How many standard deviations from the mean is that? Round your answer to two decimal places.

Explain how two data sets could have equal means and modes but still differ greatly. Give an example with two data sets to illustrate.

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 a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle's score to a z score.

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

Jorge has his own business as a painter. The amounts he made in the last five months are shown below: $\begin{array} { l l l l l } \$ 2426 & \$ 2463 & \$ 1451 & \$ 2154 & \$ 1119 \end{array}$ Find the mean, median, and range of the data.

Exam 3: Describing, Exploring, and Comparing Data

The mean height of a basketball team is 6 feet with a standard deviation of 0.2 feet. The team's center is 6.9 feet tall. Find the center's z score. Is his score unusual?

The number of hours per day a college student spends on homework has a mean of 6 hours and a standard deviation of 1.25 hours. Yesterday she spent 3 hours on homework. How many standard deviations from the mean is that? Round your answer to two decimal places.

Explain how two data sets could have equal means and modes but still differ greatly. Give an example with two data sets to illustrate.

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 a test have a mean of 66 and a standard deviation of 9. Michelle has a score of 57. Convert Michelle's score to a z score.

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​

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