Macroeconomics


SCENARIO 1-1

The manager of the customer service division of a major consumer electronics company is interested

in determining whether the customers who have purchased a Blu-ray player made by the company

over the past 12 months are satisfied with their products.

 

 

SCENARIO 1-2

A Wall Street Journal poll asked 2,150 adults in the U.S. a series of questions to find out their view

on the U.S. economy.

 

 

Scenarios 1-3,

SCENARIO 1-3

The manager of the customer service division of a major consumer electronics company is interested

in determining whether the customers who have purchased a Blu-ray player made by the company

over the past 12 months are satisfied with their products.

 

 

SCENARIO 2-1

An insurance company evaluates many numerical variables about a person before deciding on an

appropriate rate for automobile insurance. A representative from a local insurance agency selected a

random sample of insured drivers and recorded, X, the number of claims each made in the last 3

years, with the following results.

X          f

1          14

2          18

3          12

4          5

5          1

 

 

 

SCENARIO 2-2

taken to determine the number of employees the officers supervise in the operation of their

departments, where X is the number of employees overseen by each information systems officer.

X           f_

1          7

2          5

3          11

4          8

5          9

 

 

 

 

 

 

 

 

SCENARIO 2-3

Every spring semester, the School of Business coordinates a luncheon with local business leaders for

graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of

the seniors, but students must purchase tickets to cover the cost of lunches served to guests they bring

with them. The following histogram represents the attendance at the senior luncheon, where X is the

number of guests each graduating senior invited to the luncheon and f is the number of graduating

seniors in each category.

17

152

85

18

3 0

0

20

40

60

80

100

120

140

160

0 1

 

 

 

SCENARIO 2-4

A survey was conducted to determine how people rated the quality of programming available on

television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100

(extremely good quality). The stem-and-leaf display of the data is shown below.

Stem     Leaves

3          24

4          03478999

5          0112345

6          12566

7          01

8

9          2

 

Scenarios 2-5,

SCENARIO 2-5

The following are the duration in minutes of a sample of long-distance phone calls made within the

continental United States reported by one long-distance carrier.

Relative

Time (in Minutes)          Frequency

0 but less than 5            0.37

5 but less than 10           0.22

10 but less than 15         0.15

15 but less than 20         0.10

20 but less than 25         0.07

25 but less than 30         0.07

30 or more                    0.02

 

 

SCENARIO 2-6

A sample of 200 students at a Big-Ten university was taken after the midterm to ask them whether

they went bar hopping the weekend before the midterm or spent the weekend studying, and whether

they did well or poorly on the midterm. The following table contains the result.

Did Well in Midterm                  Did Poorly in Midterm

Studying for Exam                     80                                             20

Went Bar Hopping                    30                                             70

 

 

 

 

 

Scenarios 2-7,

SCENARIO 2-7

The Stem-and-Leaf display below contains data on the number of months between the date a civil suit

is filed and when the case is actually adjudicated for 50 cases heard in superior court.

Stem     Leaves

1          2 3 4 4 4 7 8 9 9

2          2 2 2 2 3 4 5 5 6 7 8 8 8 9

3          0 0 1 1 1 3 5 7 7 8

4          0 2 3 4 5 5 7 9

5          1 1 2 4 6 6

6          1 5 8

 

 

 

Scenarios 2-8,

SCENARIO 2-8

The Stem-and-Leaf display represents the number of times in a year that a random sample of 100

“lifetime” members of a health club actually visited the facility.

Stem                 Leaves

0                      012222233333344566666667789999

1                      1111222234444455669999

2                      00011223455556889

3                      0000446799

4                      011345567

5                      0077

6                      8

7                      67

8                      3

9                      0247

 

 

 

 

 

 

 

SCENARIO 2-9

The frequency distribution below represents the rents of 250 randomly selected federally subsidized

apartments in a small town.

Rent in $                                   Frequency

1,100 but less than 1,200            113

1,200 but less than 1,300            85

1,300 but less than 1,400            32

1,400 but less than 1,500            16

1,500 but less than 1,600            4

 

 

 

 

 

SCENARIO 2-10

The histogram below represents scores achieved by 200 job applicants on a personality profile.

0.10

0.20 0.20

0.10

0.20

0.10 0.10

0.00

0.10

0.20

0.30

0 10 20 30 40 50 60 70

 

 

 

 

 

 

 

 

Scenarios 2-11,

SCENARIO 2-11

The ordered array below resulted from selecting a sample of 25 batches of 500 computer chips and

determining how many in each batch were defective.

Defects

1          2          4         4          5          5          6          7          9          9          12         12         15

17         20         21         23         23         25         26         27         27         28         29         29

 

 

 

Scenarios 2-12

SCENARIO 2-12

The table below contains the opinions of a sample of 200 people broken down by gender about the

latest congressional plan to eliminate anti-trust exemptions for professional baseball.

For                  Neutral           Against            Totals

Female            38                     54                     12                     104

Male                12                     36                     48                     96

Totals              50                     90                     60                     200

 

 

 

 

SCENARIO 2-13

Given below is the stem-and-leaf display representing the amount of detergent used in gallons (with

leaves in 10ths of gallons) in a day by 25 drive-through car wash operations in Phoenix.

9 |         147

10 |       02238

11 |       135566777

12 |       223489

13 |       02

 

 

 

 

SCENARIO 2-14

The table below contains the number of people who own a portable Blu-ray player in a sample of 600

broken down by gender.

Own a Portable

Blu-ray player                         Male                Female

Yes                              96                     40

No                               224                   240

 

 

 

SCENARIO 2-18

The stem-and-leaf display below shows the result of a survey on 50 students on their satisfaction with

their school with the higher scores represent higher level of satisfaction.

Stem-and-Leaf Display

Stem unit 10

Statistics                                                              4 1 3 6 6 7

Sample Size         50                                           5 0 0 3 8 9

Mean                      71.06                                      6 0 1 1 4 4 5 7 7 9 9

Median                  73.5                                        7 0 0 0 1 3 4 4 5 5 6 6 6 7 8 8

Std. Deviation      14.13695                               8 0 1 1 3 4 4 5 7 7 8 9

Minimum               41                                           9 0 2 2 7

Maximum             97