A. Choudhury's bowling ball factory in Illinois 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 0.18 pounds. Each day for 24 days, weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows: Average Average Average (Ib.) Average (Ib.) 13.8 Day (Ib.) Day (Ib.) Day Day 1 14.4 7 13.6 13 13.6 19 2 14.0 8 13.7 14 13.6 20 13.9 3 13.7 13.7 15 13.6 21 13.6 4 14.1 10 14.1 16 13.9 22 13.8 5 13.6 11 13.8 17 13.7 23 13.8 6 14.1 12 14.1 18 13.6 24 14.1 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? Upper Control Limit (UCL-) = 13.95 lb. (round your response to two decimal places). Lower Control Limit (LCL-) =Ib. (round your response to two decimal places).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter14: Data Mining
Section14.2: Classification Methods
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A. Choudhury's bowling ball factory in Illinois 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 0.18 pounds. Each day for 24 days, the average
weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows:
Average
(Ib.)
Average
(Ib.)
Average
(lb.)
Average
Day
Day
Day
Day
(Ib.)
1
14.4
7
13.6
13
13.6
19
13.8
2
14.0
13.7
14
13.6
20
13.9
3
13.7
9.
13.7
15
13.6
21
13.6
4
14.1
10
14.1
16
13.9
22
13.8
13.6
11
13.8
17
13.7
23
13.8
6
14.1
12
14.1
18
13.6
24
14.1
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?
Upper Control Limit (UCL;) = 13.95 Ib. (round your response to two decimal places).
Lower Control Limit (LCL-) = Ib. (round your response to two decimal places).
Transcribed Image Text:A. Choudhury's bowling ball factory in Illinois 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 0.18 pounds. Each day for 24 days, the average weight, in pounds, of 9 of the bowling balls produced that day has been assessed as follows: Average (Ib.) Average (Ib.) Average (lb.) Average Day Day Day Day (Ib.) 1 14.4 7 13.6 13 13.6 19 13.8 2 14.0 13.7 14 13.6 20 13.9 3 13.7 9. 13.7 15 13.6 21 13.6 4 14.1 10 14.1 16 13.9 22 13.8 13.6 11 13.8 17 13.7 23 13.8 6 14.1 12 14.1 18 13.6 24 14.1 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? Upper Control Limit (UCL;) = 13.95 Ib. (round your response to two decimal places). Lower Control Limit (LCL-) = Ib. (round your response to two decimal places).
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