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Chapter 2: Q1. (page 72)

Complete the following table on customer statistics.

Age of customer

Frequency

Relative Frequency

15 or younger

36

-

16 to 25

96

-

25 to 35

48

-

36 to 50

-

0.2

Older than 50

12

-

Total

240

1.00

Short Answer

Expert verified

Age of customer

Frequency

Relative Frequency

15 or younger

36

0.15

16 to 25

96

0.4

25 to 35

48

0.2

36 to 50

48

0.2

Older than 50

12

0.05

Total

240

1.00

Step by step solution

01

Elucidating relative frequency

The relative frequency is a sort of frequency distribution. It facilitates positioning a particular kind of occurrence into a bigger context. The relative frequency can be computed using the formula specified below:

Relative鈥�鈥�frequency鈥�=Subgroup鈥�frequencyTotal鈥�鈥�frequency

02

Determining the missing values in the table

Relative frequency when the age of the customer is 15 years or younger (R1):

R1=36240R1=0.15

Relative frequency for the age of customers between 16 to 25 (R2):

R2=96240R2=鈥�0.4

Relative frequency for the age of customers between 25 to 35(R3):

R3=48240R3=鈥�0.2

Frequency for the age of customers between 36 to 50 (f4):

R4=f42400.2*240=鈥�f448=鈥�f4

Relative frequency when the customer is older than 50(R5):

R5=12240R5=鈥�0.05

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Most popular questions from this chapter

Motivation of drug dealers.Consider a study of drug dealers and their motivation for participating in the illegal drug market (Applied Psychology in Criminal Justice, September 2009). The sample consisted of 100 convicted drug dealers who attended a court-mandated counseling program. Each dealer was scored on the Wanting Recognition (WR) Scale, which provides a quantitative measure of a person鈥檚 level of need for approval and sensitivity to social situations. (Higher scores indicate a greater need for approval.) The sample of drug dealers had a mean WR score of 39, with a standard deviation of 6. Assume the distribution of WR scores for drug dealers is mound-shaped and symmetric.

a.Give a range of WR scores that will contain about 95% of the scores in the drug dealer sample.

b.What proportion of the drug dealers had WR scores above 51?

c.Give a range of WR sores that contain nearly all the scores in the drug dealer sample.

Is honey a cough remedy?Refer to the Archives of Pediatrics and Adolescent Medicine(Dec. 2007) studyof honey as a remedy for coughing, Exercise 2.31 (p. 86). Recall that the 105 ill children in the sample wererandomly divided into three groups: those who receiveda dosage of over-the-counter cough medicine (DM),those who received a dosage of honey (H), and thosewho received no dosage (control group). The coughingimprovement scores (as determined by the children鈥檚parents) for the patients are reproduced in the nexttable.

Honey Dosage

12, 11, 15, 11, 10, 13, 10, 4 ,15, 16, 9, 14, 10, 6, 10, 8, 11, 12, 12, 8, 12, 9, 11, 15, 10, 15, 9, 13, 8, 12, 10, 8, 9, 5, 12

DM Dosage

4, 6, 9, 4, 7, 7, 7, 9, 12 ,10, 11, 6, 3, 4, 9, 12, 7, 6, 8, 12, 12, 4, 12, 13, 7, 10

No Dosage
(Control)

13, 9, 4, 4, 10, 15, 9, 5, 8, 6, 1, 0, 8, 12, 8, 7, 7, 1, 6, 7, 7, 12, 7, 9, 7, 9, 5, 11, 9, 5, 6, 8, 8, 6, 7, 10, 9, 4, 8, 7, 3, 1, 4, 3

a) Find the median improvement score for the honey dosage group.

b) Find the median improvement score for the DM dosage group.

c) Find the median improvement score for the control group.

d) Based on the results, parts a鈥揷, what conclusions can pediatric researchers draw? (We show how to support these conclusions with a measure of reliability in subsequent chapters.)

Do social robots walk or roll? A social (or service) robot is designed to entertain, educate, and care for human users. In a paper published by the International Conference on Social Robotics (Vol. 6414, 2010), design engineers investigated the trend in the design of social robots. Using a random sample of 106 social robots obtained through a Web search, the engineers found that 63 were built with legs only, 20 with wheels only, 8 with both legs and wheels, and 15 with neither legs nor wheels. This information is portrayed in the accompanying graph.

a. What type of graph is used to describe the data?

b. Identify the variable measured for each of the 106 robot designs.

c. Use the graph to identify the social robot design that is currently used the most.

d. Compute class relative frequencies for the different categories shown in the graph.

e. Use the results from part d to construct a Pareto diagram for the data.

In terms of percentiles, define QL, QM and QU

Crude oil biodegradation.Refer to the Journal of Petroleum Geology (April 2010) study of the environmental factors associated with biodegradation in crude oil reservoirs, Exercise 2.29 (p. 85). Recall that amount of dioxide (milligrams/liter) and presence/absence of crude oil were determined for each of 16 water specimens collected from a mine reservoir. The data are repeated in the accompanying table.

Dioxide Amount

Crude Oil Present

3.3

No

0.5

Yes

1.3

Yes

0.4

Yes

0.1

No

4.0

No

0.3

No

0.2

Yes

2.4

No

2.4

No

1.4

No

0.5

Yes

0.2

Yes

4.0

No

4.0

No

4.0

No

a.Find the mean dioxide level of the 16 water specimens. Interpret this value.

b.Find the median dioxide level of the 16 water specimens. Interpret this value.

c.Find the mode of the 16 dioxide levels. Interpret this value.

d.Find the median dioxide level of the 10 water specimens with no crude oil present.

e.Find the median dioxide level of the 6 water specimens with crude oil present.

f.Compare the results, parts d and e. Make a statement about the association between dioxide level and presence/absence of crude oil.
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