Question 1

The tallest living man has a height of 247 cm and the tallest living woman is 236 cm tall.
Heights of mean have a mean of 175 cm and a standard deviation of 7 cm. Heights of women
have a mean of 162 cm and a standard deviation of 6 cm. Relative to the population of the
same gender, determine who is taller by comparing z scores. Include an explanation.

Accepted Answer

The answer of The tallest living man has a height...

Question 2

If your score on your next statistics test is converted to a z score, which of these z scores would
you prefer? Explain your answer. $$- 2.50 , - 1.50,0,1.00,2.25$$

Accepted Answer

The answer of If your score on your next statistics...

Question 3

In a data set with a range of 55.4 to 105.4 and 400 observations, there are 276 observations_ with values less than 86. Find the percentile for 86.

Accepted Answer

A)  $P _ { 122.50 }$ 
B)  $P _ { 32 }$ 
C)  $P _ { 69 }$ 
D)  $P _ { 6 / 2 }$

Question 4

Jorge has his own business as a painter. The amounts he made in the last five months are shown below:
$2426 $2463 $1451 $2154 $1119
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 5

An online service ran a poll of its internet subscribers and asked whether they would re-elect
the current President. Among the 1,304,240 responses, 768,731 answered "yes", 286,756
answered "no", and 248,753 said it was "too soon to decide". Given how large this sample
is, can it be considered to be representative of the population of the United States? Explain.

Accepted Answer

The answer of An online service ran a poll of...

Question 6

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 Q1 and the median and Q3 and the median.

Accepted Answer

The answer of Use the following duration times (seconds)of 24...

Question 7

A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. $$\begin{array} { l l l l l l l } 
81 & 71 & 202 & 113 & 269 & 248 & 242
\end{array}$$ Find the median number of newspapers sold.

Accepted Answer

A) 202 newspapers 
B) 113 newspapers 
C) 175 newspapers 
D) 242 newspapers

Question 8

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

Question 9

The textbook defines significantly low or high values as those data points with z scores less
than z =−2.00 or z scores greater than z = 2.00. Comment on this definition with respect to
Chebyshev's theorem; refer specifically to the percent of scores which would be defined as
significant according to Chebyshev's theorem.

Accepted Answer

The answer of The textbook defines significantly low or high...

Question 10

The test scores of 40 students are listed below. Find P85. 6)____________ $\begin{array}{llllllllll}
30 & 35 & 43 & 44 & 47 & 48 & 54 & 55 & 56 & 57 \
59 & 62 & 63 & 65 & 66 & 68 & 69 & 69&71 & 72 \
72 & 73 & 74 & 76 & 77 & 77 & 78 & 79 & 80 & 81 \
81 & 82 & 83 & 85 & 89 & 92 & 93 & 94&97 & 98
\end{array}$

Accepted Answer

A) 87 
B) 85 
C) 89 
D) 34

Question 11

Find the standard deviation for the given sample data. Round your answer to one more_ decimal place than the original data. $$\begin{array} { l l l l l l l l l } 
18 & 18 & 18 & 9 & 15 & 5 & 10 & 5 & 15
\end{array}$$

Accepted Answer

A) 5.1 
B) 5.4 
C) 1.6 
D) 5.8

Question 12

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. $$\begin{array} { c c c c c c c c c c c c } 
110 & 120 & 178 & 213 & 234 & 234 & 235 & 237 & 240 & 243 & 245 & 245 \
250 & 250 & 251 & 252 & 254 & 255 & 255 & 259 & 260 & 266 & 269 & 273
\end{array}$$ Describe how to calculate the limits to determine outliers for this data set? Identify any
outliers.

Accepted Answer

The answer of Use the following duration times (seconds)of 24...

Question 13

Which of the following is not a property of variance?

Accepted Answer

A) The units of variance are the squares of the units of the original data. 
B) The value of the variance is always positive or 0. 
C) The sample variance is a biased estimator of the population variance. 
D) The value of the variance is zero only when all of the data values are the same number.

Question 14

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 15

Carbon monoxide is measured in one city for five different days. The mean of those values is
0.62 parts per million. Four of the values (in parts per million)are 0.3, 0.4, 1.1, and 0.7. Find
the missing value. If n is the number of values, how many of the n values can be freely
assigned before the remaining values are determined? What is that called?

Accepted Answer

The answer of Carbon monoxide is measured in one city...

Question 16

Approximately what percentage of apple diameters is greater than the 66th percentile?

Accepted Answer

A) 66% 
B) 17% 
C) 34% 
D) 3.4%

Question 17

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 18

The race speeds (in minutes)for the top eight cars in a 200-mile race are listed below. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. $\begin{array}{llllllll}
181.0 & 180.6 & 189.2 & 182.2 & 175.6 & 180.0 & 177.9 & 181.8
\end{array}$

Accepted Answer

A) 1.1 minutes 
B) 6.8 minutes 
C) 7.5 minutes 
D) 3.4 minutes

Question 19

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

Accepted Answer

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

Exam 3: Describing, Exploring, and Comparing Data

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer? Explain your answer. $- 2.50 , - 1.50,0,1.00,2.25$

In a data set with a range of 55.4 to 105.4 and 400 observations, there are 276 observations_ with values less than 86. Find the percentile for 86.

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

A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. $\begin{array} { l l l l l l l } 81 & 71 & 202 & 113 & 269 & 248 & 242\end{array}$ Find the median number of newspapers sold.

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

Find the standard deviation for the given sample data. Round your answer to one more_ decimal place than the original data. $\begin{array} { l l l l l l l l l } 18 & 18 & 18 & 9 & 15 & 5 & 10 & 5 & 15\end{array}$

Which of the following is not a property of variance?

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?

Approximately what percentage of apple diameters is greater than the 66th percentile?

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.

The race speeds (in minutes) for the top eight cars in a 200-mile race are listed below. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth. $\begin{array}{llllllll}181.0 & 180.6 & 189.2 & 182.2 & 175.6 & 180.0 & 177.9 & 181.8\end{array}$

Exam 3: Describing, Exploring, and Comparing Data

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer? Explain your answer. −2.50,−1.50,0,1.00,2.25- 2.50 , - 1.50,0,1.00,2.25−2.50,−1.50,0,1.00,2.25

In a data set with a range of 55.4 to 105.4 and 400 observations, there are 276 observations_ with values less than 86. Find the percentile for 86.

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

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 the original data. 181818915510515\begin{array} { l l l l l l l l l } 18 & 18 & 18 & 9 & 15 & 5 & 10 & 5 & 15\end{array}18​18​18​9​15​5​10​5​15​

Which of the following is not a property of variance?

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?

Approximately what percentage of apple diameters is greater than the 66th percentile?

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.

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer? Explain your answer. $- 2.50 , - 1.50,0,1.00,2.25$

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

Find the standard deviation for the given sample data. Round your answer to one more_ decimal place than the original data. $\begin{array} { l l l l l l l l l } 18 & 18 & 18 & 9 & 15 & 5 & 10 & 5 & 15\end{array}$