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Business Statistics Study Set 2
Exam 2: Displaying and Describing Categorical Data
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Question 21
Essay
Find each of the following percentages. A. What percent of the clients are over age 50 who invests in mutual funds? b. What percent of clients over age 50 invest in mutual funds? c. What percent of the mutual fund investors are over age 50?
Question 22
Multiple Choice
A company interested in the health of its employees started a health program including monitoring blood pressure. Based on age, employees were categorized according to ranges of blood pressure by age intervals. Data are shown in the table below. .
Age
BP
Under 30
30
−
49
Over 50
Total
Low
27
38
31
96
Normal
48
90
92
230
High
23
59
72
154
Total
98
187
195
480
The percentage of employees with normal or low blood pressure is
\begin{array}{l}\begin{array} { | c | c | c | c | c | } \hline & { \text { Age } } & \\\hline \text { BP } & \text { Under 30 } & \mathbf { 3 0 } - \mathbf { 4 9 } & \text { Over 50 } & \text { Total } \\\hline \text { Low } & 27 & 38 & 31 & 96 \\\hline \text { Normal } & 48 & 90 & 92 & 230 \\\hline \text { High } & 23 & 59 & 72 & 154 \\\hline \text { Total } & 98 & 187 & 195 & 480 \\\hline\end{array}\\\text { The percentage of employees with normal or low blood pressure is }\end{array}
BP
Low
Normal
High
Total
Age
Under 30
27
48
23
98
30
−
49
38
90
59
187
Over 50
31
92
72
195
Total
96
230
154
480
The percentage of employees with normal or low blood pressure is
Question 23
Multiple Choice
A clothing store uses comment cards to get feedback from its customers about newly added items. It recently introduced plus size fashion wear. Customers who purchased The items were asked to fill out an online comment survey giving 10% off the next Purchase. The data are summarized in the table below. Which of the following would be An appropriate method for displaying the data shown in the table?
Response
Frequency
Very satisfied.
15
Satisfied.
30
Less than fully satisfied.
12
Not satisfied.
4
\begin{array} { | l | l | } \hline \text { Response } & \text { Frequency } \\\hline \text { Very satisfied. } & 15 \\\hline \text { Satisfied. } & 30 \\\hline \text { Less than fully satisfied. } & 12 \\\hline \text { Not satisfied. } & 4 \\\hline\end{array}
Response
Very satisfied.
Satisfied.
Less than fully satisfied.
Not satisfied.
Frequency
15
30
12
4
Question 24
Multiple Choice
A large national retailer of electronics conducted a survey to determine consumer preferences for various brands of digital cameras and the data are summarized in the table shown below.
The percentage of consumers who are male and prefer Fujifilm is
Question 25
Multiple Choice
A regional survey was carried out to gauge public opinion on the controversial Arizona Immigration Law (results shown below) . How many respondents are Republican and favor the law?
Response
Democrat
Republican
Independent
Favor
50
93
35
Oppose
85
45
60
Don’t Know
5
7
20
\begin{array} { | l | l | l | l | } \hline \text { Response } & \text { Democrat } & \text { Republican } & \text { Independent } \\\hline \text { Favor } & 50 & 93 & 35 \\\hline \text { Oppose } & 85 & 45 & 60 \\\hline \text { Don't Know } & 5 & 7 & 20 \\\hline\end{array}
Response
Favor
Oppose
Don’t Know
Democrat
50
85
5
Republican
93
45
7
Independent
35
60
20
Question 26
Multiple Choice
A regional survey was carried out to gauge public opinion on the controversial Arizona Immigration Law. Based on the results displayed in the table below, what Percent of respondents is Independent?
Response
Democrat
Republican
Independent
Favor
50
93
35
Oppose
85
45
60
Don’t Know
5
7
20
\begin{array} { | l | l | l | l | } \hline \text { Response } & \text { Democrat } & \text { Republican } & \text { Independent } \\\hline \text { Favor } & 50 & 93 & 35 \\\hline \text { Oppose } & 85 & 45 & 60 \\\hline \text { Don't Know } & 5 & 7 & 20 \\\hline\end{array}
Response
Favor
Oppose
Don’t Know
Democrat
50
85
5
Republican
93
45
7
Independent
35
60
20
Question 27
Multiple Choice
A large national retailer of electronics conducted a survey to determine consumer preferences for various brands of digital cameras and the data are summarized in the table shown below.
Of the consumers who are male, the percentage who prefer Sony is
Question 28
Multiple Choice
Accenture, a consulting firm, conducted an online survey of 500 US consumers from 2009 to 2013. The results are displayed in the segmented bar chart below. How many Respondents in 2012 are at least somewhat likely to shop on "Black Friday"?
Question 29
Essay
Prepare an appropriate chart to display the marginal distribution of age.
Question 30
Multiple Choice
A regional survey was carried out to gauge public opinion on the controversial Arizona Immigration Law (results shown below) . What percent oppose the law?
Response
Democrat
Republican
Independent
Favor
50
93
35
Oppose
85
45
60
Don’t Know
5
7
20
\begin{array} { | l | l | l | l | } \hline \text { Response } & \text { Democrat } & \text { Republican } & \text { Independent } \\\hline \text { Favor } & 50 & 93 & 35 \\\hline \text { Oppose } & 85 & 45 & 60 \\\hline \text { Don't Know } & 5 & 7 & 20 \\\hline\end{array}
Response
Favor
Oppose
Don’t Know
Democrat
50
85
5
Republican
93
45
7
Independent
35
60
20
Question 31
Multiple Choice
A clothing store uses comment cards to get feedback from its customers about newly added items. It recently introduced plus size fashion wear. Customers who purchased The items were asked to fill out an online comment survey giving 10% off the next Purchase. The data are summarized in the table below. What percentage of customers Were at least satisfied with the item(s) purchased (Satisfied or Very satisfied) ?
Response
Frequency
Very satisfied.
15
Satisfied.
30
Less than fully satisfied.
12
Not satisfied.
4
\begin{array} { | l | l | } \hline \text { Response } & \text { Frequency } \\\hline \text { Very satisfied. } & 15 \\\hline \text { Satisfied. } & 30 \\\hline \text { Less than fully satisfied. } & 12 \\\hline \text { Not satisfied. } & 4 \\\hline\end{array}
Response
Very satisfied.
Satisfied.
Less than fully satisfied.
Not satisfied.
Frequency
15
30
12
4
Question 32
Multiple Choice
A consulting firm examined the profit of two grocery stores and found that over the last year at Grocery Store A 66.7% of the months showed profit while at Grocery Store B 83.3% showed Profit. The table below summarizes the findings.
On closer investigation, it was observed that there was a difference in profit between stores that served wealthier neighborhoods versus less wealthy. The following tables were created: Grocery stores serving wealthy neighborhoods:
Grocery stores serving less wealthy neighborhoods:
Months
Profit
Months Loss
Total
%
months profit
Grocery A
2
2
4
50.0
%
Grocery B
1
1
2
50.0
%
\begin{array}{l}\text { Grocery stores serving less wealthy neighborhoods: }\\\begin{array} { | l | c | c | c | c | } \hline & \begin{array} { c } \text { Months } \\\text { Profit }\end{array} & \text { Months Loss } & \text { Total } & \% \text { months profit } \\\hline \text { Grocery A } & 2 & 2 & 4 & 50.0 \% \\\hline \text { Grocery B } & 1 & 1 & 2 & 50.0 \% \\\hline\end{array}\end{array}
Grocery stores serving less wealthy neighborhoods:
Grocery A
Grocery B
Months
Profit
2
1
Months Loss
2
1
Total
4
2
%
months profit
50.0%
50.0%
What can be assumed about the profit of grocery stores?
Question 33
Multiple Choice
A company interested in the health of its employees started a health program including monitoring blood pressure. Based on age, employees were categorized according to ranges of Blood pressure by age intervals. Data are shown in the table below.
Of all employees, the percentage who are over
50
and have high blood pressure is
\text { Of all employees, the percentage who are over } 50 \text { and have high blood pressure is }
Of all employees, the percentage who are over
50
and have high blood pressure is
Question 34
Multiple Choice
The following is a bar chart summarizing consumer preferences for various brands of digital cameras.
This bar chart shows
Question 35
Multiple Choice
A regional survey was carried out to gauge public opinion on the controversial Arizona Immigration Law (results shown below) . Of respondents who oppose the law, What percent is Democrat?
Question 36
Essay
Identify the variables and tell whether each is categorical or quantitative.
Question 37
Multiple Choice
Accenture, a consulting firm, conducted an online survey of 500 US consumers from in 2013.
Response
Male
Female
Too busy to shop earlier
115
75
More time to save for gifts
50
80
Better discounts available
65
20
Part of the holiday tradition
15
5
None of the above
120
60
\begin{array} { | l | l | l | } \hline \text { Response } & \text { Male } & \text { Female } \\\hline \text { Too busy to shop earlier } & 115 & 75 \\\hline \text { More time to save for gifts } & 50 & 80 \\\hline \text { Better discounts available } & 65 & 20 \\\hline \text { Part of the holiday tradition } & 15 & 5 \\\hline \text { None of the above } & 120 & 60 \\\hline\end{array}
Response
Too busy to shop earlier
More time to save for gifts
Better discounts available
Part of the holiday tradition
None of the above
Male
115
50
65
15
120
Female
75
80
20
5
60
What percentage of men were felt that better discounts were available on "Black Friday"?
Question 38
Multiple Choice
Accenture, a consulting firm, conducted an online survey of 500 US consumers from 2009 to 2013. The results are displayed in the segmented bar chart below. Which of the Following statement(s) is (are) true?