Question 1

State whether you would expect the data set to be normally distributed.
-Times for able bodied female college students to run 400 meters.

Accepted Answer

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

Question 2

Identify the distribution as symmetric, left-skewed, or right-skewed.
-Shoe sizes of adult women

Accepted Answer

A) Right-skewed 
B) Left-skewed 
C) Symmetric 
A) Right-skewed 
B) Left-skewed 
C) Symmetric

Question 3

Use the range rule of thumb to approximate the standard deviation.
-The maximum value of a distribution is 18.1 and the minimum value is 5.5. Round results to the nearest tenth.

Accepted Answer

A) 14.2 
B) 3.2 
C) 0.2 
D) 8.2 
A) 14.2 
B) 3.2 
C) 0.2 
D) 8.2

Question 4

Find the mode(s)for the given sample data.
-The table shows the country represented by the winner of the 10,000 meter run in the Summer Olympic Games in various years. $\begin{array} { l l } \text { Year } & \text { Country } \ 1912 & \text { Finland } \ 1920 & \text { Finland } \ 1924 & \text { Finland } \ 1928 & \text { Finland } \ 1932 & \text { Poland } \ 1936 & \text { Finland } \ 1948 & \text { Czechoslovakia } \ 1952 & \text { Czechoslovakia } \ 1956 & \text { USSR } \ 1960 & \text { USSR } \ 1964 & \text { United States } \ 1968 & \text { Kenya } \ 1972 & \text { Finland } \ 1976 & \text { Finland } \ 1980 & \text { Ethiopia } \ 1984 & \text { Italy } \ 1988 & \text { Morocco } \ 1992 & \text { Morocco } \end{array}$
Find the mode of the country data.

Accepted Answer

A)  Morocco 
B)  Finland 
C)  7 
D)  1912 
A)  Morocco 
B)  Finland 
C)  7 
D)  1912

Question 5

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-The numbers listed below represent the amount of precipitation (in inches)last year in six different U.S. cities. $\begin{array} { l l l l l l } 10.4 & 12.0 & 31.6 & 30.2 & 12.6 & 22.2 \end{array}$
Compute the standard deviation s.

Accepted Answer

A)  $2360.2 \mathrm { in }$. 
B)  $30.9 \mathrm { in }$. 
C)  $9.53 \mathrm { in }$. 
D)  $2814.4 \mathrm { in }$. 
A)  $2360.2 \mathrm { in }$. 
B)  $30.9 \mathrm { in }$. 
C)  $9.53 \mathrm { in }$. 
D)  $2814.4 \mathrm { in }$.

Question 6

Obtain the five-number summary for the given data.
-The normal annual precipitation (in inches)is given below for 21 different U.S. cities. $\begin{array} { l l l l l l l } 39.1 & 30.3 & 18.5 & 32.3 & 27.1 & 27.8 & 8.6 \end{array}$
$\begin{array} { l l l l l l l l } 23.5 & 42.6 & 31.8 & 20.0 & 12.0 & 5.1 & 13.6 \end{array}$
$\begin{array} { l l l l l l l l } 22.3 & 10.9 & 16.2 & 25.4 & 17.2 & 14.9 & 51.7 \end{array}$

Accepted Answer

A)  $5.1,13.925,22.3,29.675,51.7$ 
B)  $5.1,14.25,21.15,31.05,51.7$ 
C)  $5.1,13.925,21.15,29.675,51.7$ 
D)  $5.1,14.25,22.3,31.05,51.7$ 
A)  $5.1,13.925,22.3,29.675,51.7$ 
B)  $5.1,14.25,21.15,31.05,51.7$ 
C)  $5.1,13.925,21.15,29.675,51.7$ 
D)  $5.1,14.25,22.3,31.05,51.7$

Question 7

Find the range for the given data.
-The amount that Jeremy has saved in each of the last six months is shown below. $\begin{array} { l l l l l l } \$ 115 & \$ 534 & \$ 122 & \$ 599 & \$ 417 & \$ 289 \end{array}$

Accepted Answer

A)  $\$ 484$ 
B)  $\$ 167$ 
C)  $\$ 534$ 
D)  $\$ 115$ 
A)  $\$ 484$ 
B)  $\$ 167$ 
C)  $\$ 534$ 
D)  $\$ 115$

Question 8

A hypothesis test is to be performed. State the null and alternative hypotheses.
-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.

Accepted Answer

A)  Null hypothesis: mean volume $= 16$ ounces
Alternative hypothesis: mean volume $ 16$ ounces
Alternative hypothesis: mean volume $< 16$ ounces 
D)  Null hypothesis: mean volume $< 16$ ounces
Alternative hypothesis: mean volume $= 16$ ounces 
A)  Null hypothesis: mean volume $= 16$ ounces
Alternative hypothesis: mean volume $ 16$ ounces
Alternative hypothesis: mean volume $< 16$ ounces 
D)  Null hypothesis: mean volume $< 16$ ounces
Alternative hypothesis: mean volume $= 16$ ounces

Question 9

Provide an appropriate response.
-Draw one boxplot to illustrate bell-shaped data, another for uniform data, and a third for
skewed data. Which of these shapes matches the boxplot for the first 100 digits of π?
(Below is the frequency table for the first 100 digits of π.) $$\begin{array} { r | r | r | r | r | r | r | r | r | r | r } 
\mathbf { x } & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \
\hline \mathrm { f } & 8 & 8 & 12 & 11 & 10 & 8 & 9 & 8 & 12 & 14
\end{array}$$

Accepted Answer

Check students' drawings. The boxplot fo

Question 10

Provide an appropriate response.
-Which of the following statements concerning the standard normal curve is/are true (if any)? a. The area under the standard normal curve to the left of $- 3$ is zero.
b. The area under the standard normal curve between any two z-scores is greater than zero.
c. The area under the standard normal curve between two $\mathrm { z }$-scores will be negative if both $\mathrm { z }$-scores are negative.
d. The area under the standard normal curve to the left of any z-score is less than 1 .

Accepted Answer

A)  a, c 
B)  b, d 
C)  $a , b$ 
D)  $a$ 
A)  a, c 
B)  b, d 
C)  $a , b$ 
D)  $a$

Question 11

A hypothesis test is to be performed. State the null and alternative hypotheses.
-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 $9.1 \%$.

Accepted Answer

A)  Null hypothesis: proportion of Castletown children with asthma $> 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $= 9.1 \%$ 
B)  Null hypothesis: proportion of Castletown children with asthma $ 9.1 \%$ 
C)  Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $\geq 9.1 \%$ 
D)  Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $> 9.1 \%$ 
A)  Null hypothesis: proportion of Castletown children with asthma $> 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $= 9.1 \%$ 
B)  Null hypothesis: proportion of Castletown children with asthma $ 9.1 \%$ 
C)  Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $\geq 9.1 \%$ 
D)  Null hypothesis: proportion of Castletown children with asthma $= 9.1 \%$
Alternative hypothesis: proportion of Castletown children with asthma $> 9.1 \%$

Question 12

Provide an appropriate response.
-Which of the following statements is not true for a left-skewed distribution?

Accepted Answer

A) The mode is at the peak 
B) The median is smaller than the mode 
C) The mode is greater than the mean 
D) The mean is greater than the median 
A) The mode is at the peak 
B) The median is smaller than the mode 
C) The mode is greater than the mean 
D) The mean is greater than the median

Question 13

Explanation:
-Age at death for residents of the U.S.

Accepted Answer

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

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

Construct a boxplot as requested.
-The test scores of 40 students are listed below. Construct a boxplot for the data set. $\begin{array} { l l l l l l l l l l } 25 & 35 & 43 & 44 & 47 & 48 & 54 & 55 & 56 & 57 \end{array}$
$\begin{array} { l l l l l l l l l l } 59 & 62 & 63 & 65 & 66 & 68 & 69 & 69 & 71 & 72 \end{array}$
$\begin{array} { l l l l l l l l l l } 72 & 73 & 74 & 76 & 77 & 77 & 78 & 79 & 80 & 81 \end{array}$
$\begin{array} { l l l l l l l l l l } 81 & 82 & 83 & 85 & 89 & 92 & 93 & 94 & 97 & 98 \end{array}$

Accepted Answer

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

Question 16

Use the range rule of thumb to approximate the standard deviation.
-$2,6,15,9,11,22,1,4,8,19$

Accepted Answer

A)  $6.8$ 
B)  $5.25$ 
C)  $6.3$ 
D)  2 
A)  $6.8$ 
B)  $5.25$ 
C)  $6.3$ 
D)  2

Question 17

Find the standard score for the given data value.
-A data value in the 8 th percentile.

Accepted Answer

A)  $\mathrm { z } = - 2.4$ 
B)  $z = 0.85$ 
C)  $\mathrm { z } = - 1.4$ 
D)  $\mathrm { z } = 78.81$ 
A)  $\mathrm { z } = - 2.4$ 
B)  $z = 0.85$ 
C)  $\mathrm { z } = - 1.4$ 
D)  $\mathrm { z } = 78.81$

Question 18

Identify the distribution as symmetric, left-skewed, or right-skewed.
-Age at death for residents of the U.S.

Accepted Answer

A) Right-skewed 
B) Symmetric 
C) Left-skewed 
A) Right-skewed 
B) Symmetric 
C) Left-skewed

Question 19

Use the range rule of thumb to approximate the standard deviation.
-$22,29,21,24,27,28,25,36$

Accepted Answer

A)  $1.65$ 
B)  $3.75$ 
C)  $2.8$ 
D)  $4.2$ 
A)  $1.65$ 
B)  $3.75$ 
C)  $2.8$ 
D)  $4.2$

Question 20

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 consumer group believes that the mean volume of juice in a company's 24 ounce juice
bottles is actually less than 24 ounces.
In a random sample of 310 bottles, the mean volume of juice was 23.9 ounces.
Assuming that the mean volume of juice for all the company's 24-ounce bottles is 24
ounces, the probability of selecting a random sample with a mean volume of 23.9 ounces
or less is 0.00017.

Accepted Answer

Null hypothesis: mean volume of juice in

State whether you would expect the data set to be normally distributed. -Times for able bodied female college students to run 400 meters.

Identify the distribution as symmetric, left-skewed, or right-skewed. -Shoe sizes of adult women

Use the range rule of thumb to approximate the standard deviation. -The maximum value of a distribution is 18.1 and the minimum value is 5.5. Round results to the nearest tenth.

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. -The numbers listed below represent the amount of precipitation (in inches)last year in six different U.S. cities. 10.4 12.0 31.6 30.2 12.6 22.2 Compute the standard deviation s.

Obtain the five-number summary for the given data. -The normal annual precipitation (in inches)is given below for 21 different U.S. cities. 39.1 30.3 18.5 32.3 27.1 27.8 8.6 23.5 42.6 31.8 20.0 12.0 5.1 13.6 22.3 10.9 16.2 25.4 17.2 14.9 51.7

Find the range for the given data. -The amount that Jeremy has saved in each of the last six months is shown below. \ 115 \ 534 \ 122 \ 599 \ 417 \ 289

A hypothesis test is to be performed. State the null and alternative hypotheses. -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.

Provide an appropriate response. -Which of the following statements is not true for a left-skewed distribution?

Explanation: -Age at death for residents of the U.S.

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

Construct a boxplot as requested. -The test scores of 40 students are listed below. Construct a boxplot for the data set. 25 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

Use the range rule of thumb to approximate the standard deviation. - $2,6,15,9,11,22,1,4,8,19$

Find the standard score for the given data value. -A data value in the 8 th percentile.

Identify the distribution as symmetric, left-skewed, or right-skewed. -Age at death for residents of the U.S.

Use the range rule of thumb to approximate the standard deviation. - $22,29,21,24,27,28,25,36$

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