Question 1

State how many peaks you would expect for the distribution described.
-Weights of the first graders at a school

Accepted Answer

A) None 
B) Three 
C) One 
D) Two 
A) None 
B) Three 
C) One 
D) Two

Question 2

Find the margin of error for the survey results described.
-In a poll of 1093 college students, 19% said that they had cheated at least once on an exam. Give your answer as a percentage to one decimal place.

Accepted Answer

A) 0.1% 
B) 3.0% 
C) 1.5% 
D) 6.0% 
A) 0.1% 
B) 3.0% 
C) 1.5% 
D) 6.0%

Question 3

A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the givensituation.
-A consumer advocacy group believes that the mean volume of juice in a company's 16 -ounce juice bottles is actually less than 16 ounces.
The hypotheses are as follows:
Null hypothesis: mean volume $= 16$ ounces
Alternative hypothesis: mean volume $< 16$ ounces

Accepted Answer

A)  Rejecting the null hypothesis means there is evidence that the mean volume is not equal to 16 ounces.
Accepting the null hypothesis means there is evidence to conclude that the mean volume is equal to 16 ounces. 
B)  Rejecting the null hypothesis means there is evidence that the mean volume is less than 16 ounces.
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean volume is equal to 16 ounces. 
C)  Rejecting the null hypothesis means there is evidence that the mean volume is less than 16 ounces.
Accepting the null hypothesis means there is evidence to conclude that the mean volume is equal to 16 ounces. 
D)  Rejecting the null hypothesis means there is evidence that the mean volume is less than 16 ounces.
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean volume is less than 16 ounces. 
A)  Rejecting the null hypothesis means there is evidence that the mean volume is not equal to 16 ounces.
Accepting the null hypothesis means there is evidence to conclude that the mean volume is equal to 16 ounces. 
B)  Rejecting the null hypothesis means there is evidence that the mean volume is less than 16 ounces.
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean volume is equal to 16 ounces. 
C)  Rejecting the null hypothesis means there is evidence that the mean volume is less than 16 ounces.
Accepting the null hypothesis means there is evidence to conclude that the mean volume is equal to 16 ounces. 
D)  Rejecting the null hypothesis means there is evidence that the mean volume is less than 16 ounces.
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean volume is less than 16 ounces.

Question 4

State whether you would expect the data set to be normally distributed.
-The diameters of the redwood trees in a forest.

Accepted Answer

A) Normal 
B) Not normal 
A) Normal 
B) Not normal

Question 5

Provide an appropriate response.
-Rank the mean, median, and mode in order of ascending size for a right-skewed distribution.

Accepted Answer

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

Question 6

Use the 68-95-99.7 rule to solve the problem.
-For women at Hartford College, times to run 400 meters are normally distributed with a mean of 82 seconds and a standard deviation of 5 seconds. What percentage of the times are more than 67
Seconds?

Accepted Answer

A) 99.7% 
B) 0.15% 
C) 0.3% 
D) 99.85% 
A) 99.7% 
B) 0.15% 
C) 0.3% 
D) 99.85%

Question 7

The result of a hypothesis is described in terms of the probability of obtaining a particular sample. Use the given contextto formulate the null and alternative hypotheses. Discuss whether the sample provides evidence for rejecting the nullhypothesis.
-The owner of a small manufacturing plant employs six people. The commute distances, in miles, for the six employees are listed below. $\begin{array} { l l l l l l } 2.4 & 5.1 & 1.4 & 4.3 & 6.2 & 3.9 \end{array}$

Accepted Answer

A)  $5.1 \mathrm { mi }$ 
B)  $4.8 \mathrm { mi }$ 
C)  $1.5 \mathrm { mi }$ 
D)  $1.4 \mathrm { mi }$ 
A)  $5.1 \mathrm { mi }$ 
B)  $4.8 \mathrm { mi }$ 
C)  $1.5 \mathrm { mi }$ 
D)  $1.4 \mathrm { mi }$

Question 8

State whether the distribution appears to be (roughly)normal.
-

Accepted Answer

A) Not normal 
B) Normal 
A) Not normal 
B) Normal

Question 9

Provide an appropriate response.
-Of the mean, median, and mode, which is (are)affected by outliers?

Accepted Answer

A) The mean and mode 
B) The median and mode 
C) The mean only 
D) The mean and median 
A) The mean and mode 
B) The median and mode 
C) The mean only 
D) The mean and median

Question 10

Obtain the five-number summary for the given data.
-The test scores of 15 students are listed below. $\begin{array} { l l l l l } 40 & 47 & 51 & 54 & 56 \end{array}$
$\begin{array} { l l l l l } 63 & 66 & 69 & 73 & 80 \end{array}$
$\begin{array} { l l l l l } 85 & 87 \quad 90 & 94 & 95 \end{array}$

Accepted Answer

A)  $40,53.25,69,85.5,95$ 
B)  $40,53.25,71.0,85.5,95$ 
C)  $40,54,71.0,87,95$ 
D)  $40,54,69,87,95$ 
A)  $40,53.25,69,85.5,95$ 
B)  $40,53.25,71.0,85.5,95$ 
C)  $40,54,71.0,87,95$ 
D)  $40,54,69,87,95$

Question 11

Find the standard score for the given data value.
-A data value in the 88th percentile.

Accepted Answer

A)  $z = 81.59$ 
B)  $\mathrm { z } = - 1.4$ 
C)  $z = - 2.4$ 
D)  $z = 1.2$ 
A)  $z = 81.59$ 
B)  $\mathrm { z } = - 1.4$ 
C)  $z = - 2.4$ 
D)  $z = 1.2$

Question 12

Solve the problem.
-Scores on a test are approximately normally distributed with a mean of 70 and a standard deviation of 9. The teacher wants to give A's to the top 10% of students. What is the bottom cutoff for an A
Grade? Round your answer to the nearest whole number.

Accepted Answer

A) 80 
B) 79 
C) 90 
D) 82 
A) 80 
B) 79 
C) 90 
D) 82

Question 13

A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the givensituation.
-The governor of a state claims that since his tax cuts have taken effect, the unemployment rate has dropped. The unemployment rate in the state had been $6.3 \%$ prior to the tax cuts.
The hypotheses are as follows:
Null hypothesis: unemployment rate $= 6.3 \%$
Alternative hypothesis: unemployment rate $< 6.3 \%$

Accepted Answer

A)  Rejecting the null hypothesis means there is evidence that the unemployment rate is less than $6.3 \%$.

Failing to reject the null hypothesis means there is insufficient evidence to conclude that the unemployment rate is less than $6.3 \%$. 
B)  Rejecting the null hypothesis means there is insufficient evidence that the unemployment rate is equal to $6.3 \%$.
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the unemployment rate is equal to $6.3 \%$. 
C)  Rejecting the null hypothesis means there is evidence that the unemployment rate is not equal to $6.3 \%$.
Accepting the null hypothesis means there is evidence to conclude that the unemployment rate is equal to $6.3 \%$. 
D)  Rejecting the null hypothesis means there is evidence that the unemployment rate is less than $6.3 \%$.
Accepting the null hypothesis means there is evidence to conclude that the unemployment rate is equal to $6.3 \%$. 
A)  Rejecting the null hypothesis means there is evidence that the unemployment rate is less than $6.3 \%$.

Failing to reject the null hypothesis means there is insufficient evidence to conclude that the unemployment rate is less than $6.3 \%$. 
B)  Rejecting the null hypothesis means there is insufficient evidence that the unemployment rate is equal to $6.3 \%$.
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the unemployment rate is equal to $6.3 \%$. 
C)  Rejecting the null hypothesis means there is evidence that the unemployment rate is not equal to $6.3 \%$.
Accepting the null hypothesis means there is evidence to conclude that the unemployment rate is equal to $6.3 \%$. 
D)  Rejecting the null hypothesis means there is evidence that the unemployment rate is less than $6.3 \%$.
Accepting the null hypothesis means there is evidence to conclude that the unemployment rate is equal to $6.3 \%$.

Question 14

State whether the distribution appears to be (roughly)normal.
-

Accepted Answer

A) Not normal 
B) Normal 
A) Not normal 
B) Normal

Question 15

Find the median for the given sample data.
-The salaries of ten randomly selected doctors are shown below. $$\begin{array} { l l l l l } 
\$ 111,000 & \$ 129,000 & \$ 198,000 & \$ 228,000 & \$ 223,000 \
\$ 131,000 & \$ 110,000 & \$ 714,000 & \$ 241,000 & \$ 170,000
\end{array}$$
Find the median salary.

Accepted Answer

A)  $\$ 251,000$ 
B)  $\$ 226,000$ 
C)  $\$ 184,000$ 
D)  $\$ 198,000$ 
A)  $\$ 251,000$ 
B)  $\$ 226,000$ 
C)  $\$ 184,000$ 
D)  $\$ 198,000$

Question 16

Solve the problem.
-The heights of nine different mountains are shown in the table below. Find the mean height. Round your answer to the nearest foot. $$\begin{array} { l | c } 
\text { Mountain } & \text { Height (feet) } \
\hline \text { Mt Mckinley, Alaska } & 20,320 \
\text { Aconcagua, Argentina } & 22,834 \
\text { Kilimanjaro, Tanzania } & 19,340 \
\text { Mont Blanc, France } & 15,771 \
\text { Mt Everest, Nepal/Tibet } & 29,028 \
\text { K2, Kashmir } & 28,250 \
\text { Mt Cook, New Zealand } & 12,349 \
\text { Mt Logan, Yukon } & 19,850 \
\text { Citlaltepec, Mexico } & 18,700
\end{array}$$

Accepted Answer

A) 20,309 ft 
B) 20,716 ft 
C) 19,850 ft 
D) 20,837 ft 
A) 20,309 ft 
B) 20,716 ft 
C) 19,850 ft 
D) 20,837 ft

Question 17

State whether you think the difference between what occurred and what you would expect by chance is statisticallysignificant.
-In eighteen of the last twenty years the annual precipitation in a certain region has been less than in the previous year.

Accepted Answer

A) Not statistically significant 
B) Statistically significant 
A) Not statistically significant 
B) Statistically significant

Question 18

State how many peaks you would expect for the distribution described.
-Sales of birthday cards over a one-year period

Accepted Answer

A) Two 
B) Three 
C) None 
D) One 
A) Two 
B) Three 
C) None 
D) One

Question 19

A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the givensituation.
-An environmental group believes that the health of the residents of Castletown is adversely affected by the oil refinery in their town. It believes that in Castletown, the proportion of children who suffer from asthma is higher than the nationwide proportion of $9.1 \%$.
The hypotheses are as follows:
Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $> 9.1 \%$

Accepted Answer

A)  Rejecting the null hypothesis means there is insufficient evidence that the proportion of Castletown children with asthma is equal to $9.1 \%$
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than $9.1 \%$ 
B)  Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than $9.1 \%$
Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to $9.1 \%$ 
C)  Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is not equal to $9.1 \%$
Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to $9.1 \%$ 
D)  Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than $9.1 \%$
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than $9.1 \%$ 
A)  Rejecting the null hypothesis means there is insufficient evidence that the proportion of Castletown children with asthma is equal to $9.1 \%$
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than $9.1 \%$ 
B)  Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than $9.1 \%$
Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to $9.1 \%$ 
C)  Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is not equal to $9.1 \%$
Accepting the null hypothesis means there is evidence to conclude that the proportion of Castletown children with asthma is equal to $9.1 \%$ 
D)  Rejecting the null hypothesis means there is evidence that the proportion of Castletown children with asthma is greater than $9.1 \%$
Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion of Castletown children with asthma is greater than $9.1 \%$

Question 20

Provide an appropriate response.
-Describe any similarities or differences in the two distributions represented by the
boxplots below. Assume the two boxplots have the same scale.

Accepted Answer

The distribution represented b

State how many peaks you would expect for the distribution described. -Weights of the first graders at a school

Find the margin of error for the survey results described. -In a poll of 1093 college students, 19% said that they had cheated at least once on an exam. Give your answer as a percentage to one decimal place.

State whether you would expect the data set to be normally distributed. -The diameters of the redwood trees in a forest.

Provide an appropriate response. -Rank the mean, median, and mode in order of ascending size for a right-skewed distribution.

Use the 68-95-99.7 rule to solve the problem. -For women at Hartford College, times to run 400 meters are normally distributed with a mean of 82 seconds and a standard deviation of 5 seconds. What percentage of the times are more than 67 Seconds?

State whether the distribution appears to be (roughly)normal. -

Provide an appropriate response. -Of the mean, median, and mode, which is (are)affected by outliers?

Obtain the five-number summary for the given data. -The test scores of 15 students are listed below. 40 47 51 54 56 63 66 69 73 80 85 8790 94 95

Find the standard score for the given data value. -A data value in the 88th percentile.

Solve the problem. -Scores on a test are approximately normally distributed with a mean of 70 and a standard deviation of 9. The teacher wants to give A's to the top 10% of students. What is the bottom cutoff for an A Grade? Round your answer to the nearest whole number.

State whether the distribution appears to be (roughly)normal. -

Find the median for the given sample data. -The salaries of ten randomly selected doctors are shown below. \ 111,000 \ 129,000 \ 198,000 \ 228,000 \ 223,000 \ 131,000 \ 110,000 \ 714,000 \ 241,000 \ 170,000 Find the median salary.

State whether you think the difference between what occurred and what you would expect by chance is statisticallysignificant. -In eighteen of the last twenty years the annual precipitation in a certain region has been less than in the previous year.

State how many peaks you would expect for the distribution described. -Sales of birthday cards over a one-year period

Provide an appropriate response. -Describe any similarities or differences in the two distributions represented by the boxplots below. Assume the two boxplots have the same scale.

Thinking Critically

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Probability: Living With the Odds

Exponential Astonishment

Modeling Our World

Modeling With Geometry

Mathematics and the Arts

Filters

Exam 6: Putting Statistics to Work

State how many peaks you would expect for the distribution described. -Weights of the first graders at a school

Find the margin of error for the survey results described. -In a poll of 1093 college students, 19% said that they had cheated at least once on an exam. Give your answer as a percentage to one decimal place.

State whether you would expect the data set to be normally distributed. -The diameters of the redwood trees in a forest.

Provide an appropriate response. -Rank the mean, median, and mode in order of ascending size for a right-skewed distribution.

Use the 68-95-99.7 rule to solve the problem. -For women at Hartford College, times to run 400 meters are normally distributed with a mean of 82 seconds and a standard deviation of 5 seconds. What percentage of the times are more than 67 Seconds?

State whether the distribution appears to be (roughly)normal. -

Provide an appropriate response. -Of the mean, median, and mode, which is (are)affected by outliers?

Obtain the five-number summary for the given data. -The test scores of 15 students are listed below. 40 47 51 54 56 63 66 69 73 80 85 8790 94 95

Find the standard score for the given data value. -A data value in the 88th percentile.

Solve the problem. -Scores on a test are approximately normally distributed with a mean of 70 and a standard deviation of 9. The teacher wants to give A's to the top 10% of students. What is the bottom cutoff for an A Grade? Round your answer to the nearest whole number.

State whether the distribution appears to be (roughly)normal. -

Find the median for the given sample data. -The salaries of ten randomly selected doctors are shown below. \ 111,000 \ 129,000 \ 198,000 \ 228,000 \ 223,000 \ 131,000 \ 110,000 \ 714,000 \ 241,000 \ 170,000 Find the median salary.

State whether you think the difference between what occurred and what you would expect by chance is statisticallysignificant. -In eighteen of the last twenty years the annual precipitation in a certain region has been less than in the previous year.

State how many peaks you would expect for the distribution described. -Sales of birthday cards over a one-year period

Provide an appropriate response. -Describe any similarities or differences in the two distributions represented by the boxplots below. Assume the two boxplots have the same scale.

Thinking Critically

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Probability: Living With the Odds

Exponential Astonishment

Modeling Our World

Modeling With Geometry

Mathematics and the Arts

Filters