Author Question: Book sales A publishing company pays its sales staff 600 a week plus a commission of 0.50 per book ... (Read 366 times)

haleyc112 · **on:** Jul 25, 2018

Book sales A publishing company pays its sales staff 600 a week plus a commission of 0.50 per book sold. For example, a salesman who sold 440 books earned 600 + 0.50(440 ) = 820.

a. The table shows summary statistics for the number of books the large sales staff sold last week. Fill in the table to show the statistics for the pay these people earned.
Statistic Books Sold Earned
Mean 640
St. dev. 360
IQR 450
Maximum 1420
b. The newest employee had a pretty good week. Among all the salespeople her pay corresponded to a z-score of +1.80. What was the z-score of the number of books she sold?

Question 2

Commuting to work The table shows how a company's employees commute to work.

Transportation
Job Class Car Bus Train Total
Management 26 20 44 90
Labor 56 106 168 330
Total 82 126 212 420
a. What is the marginal distribution (in ) of mode of transportation?
Car _____Bus _____Train _____
b. What is the conditional distribution (in ) of mode of transportation for management?
Car _____Bus _____Train _____
c. What kind of display would you use to show the association between job class and mode of transportation? (Just name a graph.)
d. Do job classification and mode of transportation appear to be independent? Give statistical evidence to support your conclusion.

cpetit11 · **Reply #1 on:** Jul 25, 2018

Answer to Question 1

a.
Statistic Books Sold Earned
Mean 640 920
Standard deviation 360 180
IQR 450 225
Maximum 1420 1310

Answer to Question 2

a. Car: 19.5 Bus: 30 Train: 50.5
b. Car: 28.9 Bus: 22.2 Train: 48.9
c. segmented bar graph, or pie charts
d. No, there is a difference between the percents in two types of transportation - Car and Bus categories, depending on the Job Classification.
Car Bus Train
Management 28.9 22.2 48.9
Labor 17.0 32.1 50.9
Although about half of each group take the train, management are more likely than labor to come by car and less likely to take a bus.