Shopping spree A marketing consultant observed 50 consecutive shoppers at a supermarket

Chapter 1, Problem 48

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QUESTION:

Shopping spree A marketing consultant observed 50 consecutive shoppers at a supermarket. One variable of interest was how much each shopper spent in the store. Here are the data (in dollars), arranged in increasing order: 3.11 8.88 9.26 10.81 12.69 13.78 15.23 15.62 17.00 17.39 18.36 18.43 19.27 19.50 19.54 20.16 20.59 22.22 23.04 24.47 24.58 25.13 26.24 26.26 27.65 28.06 28.08 28.38 32.03 34.98 36.37 38.64 39.16 41.02 42.97 44.08 44.67 45.40 46.69 48.65 50.39 52.75 54.80 59.07 61.22 70.32 82.70 85.76 86.37 93.34 (a) Round each amount to the nearest dollar. Then make a stemplot using tens of dollars as the stems and dollars as the leaves. (b) Make another stemplot of the data by splitting stems. Which of the plots shows the shape of the distribution better? (c) Write a few sentences describing the amount of money spent by shoppers at this supermarket.

Questions & Answers

QUESTION:

Shopping spree A marketing consultant observed 50 consecutive shoppers at a supermarket. One variable of interest was how much each shopper spent in the store. Here are the data (in dollars), arranged in increasing order: 3.11 8.88 9.26 10.81 12.69 13.78 15.23 15.62 17.00 17.39 18.36 18.43 19.27 19.50 19.54 20.16 20.59 22.22 23.04 24.47 24.58 25.13 26.24 26.26 27.65 28.06 28.08 28.38 32.03 34.98 36.37 38.64 39.16 41.02 42.97 44.08 44.67 45.40 46.69 48.65 50.39 52.75 54.80 59.07 61.22 70.32 82.70 85.76 86.37 93.34 (a) Round each amount to the nearest dollar. Then make a stemplot using tens of dollars as the stems and dollars as the leaves. (b) Make another stemplot of the data by splitting stems. Which of the plots shows the shape of the distribution better? (c) Write a few sentences describing the amount of money spent by shoppers at this supermarket.

ANSWER:

Step 1 of 4

Given:

The number of dollars spent by shoppers at a supermarket.

The sample size is 50.

The following is the given set of data:

3.11

8.88

9.26

10.81

12.69

13.78

15.23

15.62

17

17.39

18.36

18.43

19.27

19.5

19.54

20.16

20.59

22.22

23.04

24.47

24.58

25.13

26.24

26.26

27.65

28.06

28.08

28.38

32.03

34.98

36.37

38.64

39.16

41.02

42.97

44.08

44.67

45.4

46.69

48.65

50.39

52.75

54.8

59.07

61.22

70.32

82.7

85.76

86.37

93.34

 

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