June 28, 2020
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June 29, 2020

Bill Kime's bowling ball factory makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the average weight, in pounds, of nine of the bowling balls produced that day has been assessed as follows:

Day

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Average (lb)

Day

Average (lb)

1

16.3

13

16.3

2

15.9

14

15.9

3

15.8

15

16.3

4

15.5

16

16.2

5

163

17

16.1

6

16.2

18

15.9

7

16.0

19

16.2

8

16.1

20

15.9

9

15.9

21

15.9

10

16.2

22

16.0

11

15.9

23

15.5

12

15.9

24

15.8

a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?

b) If three standard deviations are used in the chart, how do these values change? Why?

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If three standard deviations are used in the chart, how do these values change? Why? was first posted on June 28, 2020 at 11:07 pm.