Question 1

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

Accepted Answer

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

Question 2

Provide an appropriate response.
-Marcella is nearing retirement age and has some money to invest. She is deciding between
Fund A which in the past has grown by a mean of 7% per year with a standard deviation of
2% and Fund B which has grown by a mean of 10% with a standard deviation of 6%.
Which fund should she choose? Explain your thinking.

Accepted Answer

Fund A would be less risky. Fund B has a

Question 3

Provide an appropriate response.
-You are late for work. You have two options for getting to work. You may take the bus
which takes on average 40 minutes with a standard deviation of 12 minutes. Or you can
cycle which takes on average 50 minutes with a standard deviation of 2 minutes. Compare
these two distributions.
You leave your house at 8.20 am and are supposed to start work at 9.00 am.
Which option would you choose if you will be fired if you are even a few minutes late?
Which option would you choose if you know that up to 15 minutes late is OK but after that
there is trouble? Explain your thinking.

Accepted Answer

Taking the bus is faster on average but

Question 4

State which type of average, the mean, median, or mode, would be most appropriate in the situation described. Explainyour thinking.
-A shoe manufacturer wants to know in which size they should make the most shoes.
Which type of average would be the most useful?

Accepted Answer

The mode. The manufa

Question 5

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-$290,201,130,283,135,124,147,156,270$

Accepted Answer

A)  $69.9$ 
B)  $24.1$ 
C)  $65.9$ 
D)  $74.7$ 
A)  $69.9$ 
B)  $24.1$ 
C)  $65.9$ 
D)  $74.7$

Question 6

Solve the problem.
-Bill kept track of the number of hours he spent exercising each week. The results for four months are shown below. Find the mean number of hours Bill spent exercising per week. Round your
Answer to the nearest tenth of an hour. $\begin{array} { l l l l l l } 7.5 & 8.5 & 8.3 & 8.0 & 8.3 & 7.5 \end{array}$
$\begin{array} { l l l l l l } 8.2 & 8.3 & 6.5 & 7.5 & 8.0 & 7.9 \end{array}$
$\begin{array} { l l l l l l } 7.4 & 8.5 & 8.5 & 7.8 & 8.3 & 8.2 \end{array}$

Accepted Answer

A)  $8.2$ hours 
B)  $8.0$ hours 
C)  $7.5$ hours 
D)  $8.4$ hours 
A)  $8.2$ hours 
B)  $8.0$ hours 
C)  $7.5$ hours 
D)  $8.4$ hours

Question 7

Write the word or phrase that best completes each statement or answers the question.State which type of average, the mean, median, or mode, would be most appropriate in the situation described. Explainyour thinking.
-Before a mayoral election, a pollster tries to predict which candidate will win the most
votes. Which average does the pollster need to know?

Accepted Answer

The mode. The pollster needs t

Question 8

Provide an appropriate response.
-You wish to test the hypotheses shown below.
Null hypothesis: mean $= 40$
Alternative hypothesis: mean $> 40$ Would you be inclined to reject the null hypothesis if the sample mean turned out to be
much smaller than 40? Explain your thinking.

Accepted Answer

No. The alternative hypothesis is that t

Question 9

Find the mode(s)for the given sample data.
-$7.16,7.41,7.56,7.16,7.88,7.99,7.62$

Accepted Answer

A)  $7.54$ 
B)  $7.16$ 
C)  $7.41$ 
D)  $7.56$ 
A)  $7.54$ 
B)  $7.16$ 
C)  $7.41$ 
D)  $7.56$

Question 10

Use the 68-95-99.7 rule to solve the problem.
-The annual precipitation for one city is normally distributed with a mean of 27.5 inches and a standard deviation of 3.2 inches. Fill in the blanks. In $99.7 \%$ of the years, the precipitation in this city is between __ and inches.

Accepted Answer

A)  $21.1,27.5$ 
B)  $27.5,37.1$ 
C)  $21.1,33.9$ 
D)  $17.9,37.1$ 
A)  $21.1,27.5$ 
B)  $27.5,37.1$ 
C)  $21.1,33.9$ 
D)  $17.9,37.1$

Question 11

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.
-A company claims that it pays women the same as men for comparable work. The union
decides to investigate this claim. The mean monthly salary for men in entry level positions
is $2250. Amongst a random sample of 60 female employees in similar positions , the
mean monthly salary was $2210.
Assuming that the mean salary for all female employees in entry level positions is $2250,
the probability of selecting a sample in which the mean monthly salary is $2210 or less is
0.06.

Accepted Answer

Null hypothesis: mean monthly salary for

Question 12

State which type of average, the mean, median, or mode, would be most appropriate in the situation described. Explainyour thinking.
-Dave is a college student contemplating a possible career option. One factor that will
influence his decision is the amount of money he is likely to make. He decides to look up
the average starting salary of graduates in that profession. Which information would be
most useful to him, the mean starting salary, the median starting salary, or the mode of the
starting salaries. Why?

Accepted Answer

The median gives the center of the data

Question 13

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-$20.9,10.2,26.2,48.8,20.0,24.9$

Accepted Answer

A)  $4628.7$ 
B)  $12.87$ 
C)  $37.5$ 
D)  $3800.2$ 
A)  $4628.7$ 
B)  $12.87$ 
C)  $37.5$ 
D)  $3800.2$

Question 14

Construct a boxplot as requested.
-The normal monthly precipitation (in inches)for August is listed for 20 different U.S. cities. Construct a boxplot for the data set. $\begin{array} { l l l l l } 4.0 & 1.0 & 1.5 & 1.6 & 2.0 \end{array}$
$\begin{array} { l l l l l } 2.2 & 2.4 & 2.7 & 3.4 & 3.4 \ 3.5 & 3.6 & 3.6 & 3.7 & 3.7 \end{array}$
$\begin{array} { l l l l l l } 3.5 & 3.6 & 3.6 & 3.7 & 3.7 \ 3.9 & 4.1 & 4.2 & 4.2 & 7.0 \end{array}$
$\begin{array} { l l l l l l } 3.9 & 4.1 & 4.2 & 4.2 & 7.0 \end{array}$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 15

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-$3,2,12,9,10,11,11,10,10$

Accepted Answer

A)  $3.9$ 
B)  $3.6$ 
C)  $1.1$ 
D)  $3.4$ 
A)  $3.9$ 
B)  $3.6$ 
C)  $1.1$ 
D)  $3.4$

Question 16

Construct a boxplot as requested.
-The highest temperatures ever recorded (in ${ } ^ { \circ } \mathrm { F }$ ) in 32 different U.S. states are shown below. Construct a boxplot for the data set.
$\begin{array} { c c c c c c c c } 100 & 100 & 105 & 105 & 106 & 106 & 107 & 107 \ 109 & 110 & 110 & 112 & 112 & 112 & 114 & 114 \ 114 & 115 & 116 & 117 & 118 & 118 & 118 & 118 \ 118 & 119 & 120 & 121 & 122 & 125 & 128 & 134 \end{array}$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 17

State which type of average, the mean, median, or mode, would be most appropriate in the situation described. Explainyour thinking.
-An engineer has designed an elevator and wishes to determine the maximum number of
people that will be allowed to ride in the elevator at a time. In order to do this, the engineer
needs to know the average weight of the people likely to ride in the elevator. Which type of
average would be the most useful?

Accepted Answer

The mean. The mean takes into

Question 18

Solve the problem.
-The local Tupperware dealers earned these commissions last month: $$\begin{array}{l}
\begin{array} { l | l l l } 
\$ 2965.95 & \$ 2743.78 & \$ 2972.72 & \$ 3591.18
\end{array}\
\begin{array} { l l l l } 
\$ 4897.62 & \$ 4202.64 & \$ 1330.73
\end{array}\
\$ 2341.77 \quad \$ 4722.08 \quad \$ 2260.74
\end{array}$$ What was the mean commission earned? Round your answer to the nearest cent.

Accepted Answer

A) $3558.80 
B) $3196.92 
C) $4003.65 
D) $3202.92 
A) $3558.80 
B) $3196.92 
C) $4003.65 
D) $3202.92

Question 19

Provide an appropriate response.
-You are the coach of a basketball team. Player A's mean score per game over the last
season has been 24 with a standard deviation of 2. Player B's mean score per game over
the last season has been 23 with a standard deviation of 6. Contrast the performance of the
two players. Which player would be your choice to play in a game in which you all you
need is a medium performance to win? Which player would be your choice to play in a
game in which your team needs an exceptional performance in order to win?

Accepted Answer

Player A has been playing more consisten

Question 20

Provide an appropriate response.
-A variable is normally distributed with a mean of 100. Which of the following is the largest?

Accepted Answer

A) The percentage of observations between 90 and 100 
B) The percentage of observations between 95 and 105 
C) The percentage of observations between 80 and 90 
D) The percentage of observations between 100 and 110 
A) The percentage of observations between 90 and 100 
B) The percentage of observations between 95 and 105 
C) The percentage of observations between 80 and 90 
D) The percentage of observations between 100 and 110

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

State which type of average, the mean, median, or mode, would be most appropriate in the situation described. Explainyour thinking. -A shoe manufacturer wants to know in which size they should make the most shoes. Which type of average would be the most useful?

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. - $290,201,130,283,135,124,147,156,270$

Provide an appropriate response. -You wish to test the hypotheses shown below. Null hypothesis: mean $= 40$ Alternative hypothesis: mean $> 40$ Would you be inclined to reject the null hypothesis if the sample mean turned out to be much smaller than 40? Explain your thinking.

Find the mode(s)for the given sample data. - $7.16,7.41,7.56,7.16,7.88,7.99,7.62$

Use the 68-95-99.7 rule to solve the problem. -The annual precipitation for one city is normally distributed with a mean of 27.5 inches and a standard deviation of 3.2 inches. Fill in the blanks. In $99.7 \%$ of the years, the precipitation in this city is between __ and inches.

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. - $20.9,10.2,26.2,48.8,20.0,24.9$

Construct a boxplot as requested. -The normal monthly precipitation (in inches)for August is listed for 20 different U.S. cities. Construct a boxplot for the data set. 4.0 1.0 1.5 1.6 2.0 2.2 2.4 2.7 3.4 3.4 3.5 3.6 3.6 3.7 3.7 3.5 3.6 3.6 3.7 3.7 3.9 4.1 4.2 4.2 7.0 3.9 4.1 4.2 4.2 7.0

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. - $3,2,12,9,10,11,11,10,10$

Solve the problem. -The local Tupperware dealers earned these commissions last month: \ 2965.95 \ 2743.78 \ 2972.72 \ 3591.18 \ 4897.62 \ 4202.64 \ 1330.73 \ 2341.77\ 4722.08\ 2260.74 What was the mean commission earned? Round your answer to the nearest cent.

Provide an appropriate response. -A variable is normally distributed with a mean of 100. Which of the following is the largest?

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