### Home > CCA2 > Chapter Ch11 > Lesson 11.1.1 > Problem 11-6

Cups of Coffee Sold

1

22

37

5

22

38

7

23

38

12

24

40

12

25

41

12

26

41

12

26

42

12

29

47

14

29

47

16

30

49

17

30

51

19

31

52

20

32

55

21

33

55

21

35

59

22

36

76

*checksum 1444*In problem 9-8 Katelyn recorded the number of cups of coffee sold at her coffee shop each hour during a 48-hour time period. Homework Help ✎

Katelyn then sorted the data and made the following histogram:

Katelyn decides to model her sales with a normal distribution, but Duncan thinks that this is not a good idea. What advice would you give Katelyn about using a normal model?

Katelyn needs to sell more than 15 cups per hour to make a profit. What percentile is 15 cups per hour? Explain the percentile to Katelyn in terms of profits.

Duncan thinks Katelyn should expand her business. He estimates that if they hire another server and add more tables and equipment, they will need to sell 48 cups per hour to make a profit. What percentile does 48 cups sold represent? Use the percentile to explain to Duncan whether or not expansion is a good idea.

The data should be symmetric, single-peaked, and bell-shaped. Is it?

Look at the data. How many data points sold less than 15 cups of coffee?

Compare this to the total number of data points.

Use the same method as you did in part (b)

.Note that this time it may be easier to count data points that sold more than 48 cups.