Discuss the below:
When set at the standard position, Autopitch can throw hard balls toward a batter at an average speed of 60 mph. Autopitch devices are made for both major- and minor-league teams to help them improve their batting averages. Autopitch executives take samples of 10 Autopitch devices at a time to monitor these devices and to maintain the highest quality. The average range is 3 mph. Using control chart techniques, determine control-chart limits for averages and ranges for Autopitch
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SAMPLE SIZE, n
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Af1EAN FACTOR A
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UPPER RANGE, D
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LOWER RANGED
|
|
2
|
1.880
|
3.268
|
0
|
|
3
|
1.023
|
2.574
|
0
|
|
4
|
0.729
|
2.282
|
0
|
|
5
|
0.577
|
2.114
|
0
|
|
6
|
0.483
|
2.004
|
0
|
|
7
|
0.419
|
1.924
|
0.076
|
|
8
|
0.373
|
1.864
|
0.136
|
|
9
|
0.337
|
1.816
|
0.184
|
|
10
|
0.308
|
1.777
|
0.223
|
|
12
|
0.266
|
1.716
|
0.284
|
|
14
|
0.235
|
1.671
|
0329
|
|
16
|
0.212
|
1.636
|
0.364
|
|
18
|
0.194
|
1.608
|
0.392
|
|
20
|
0.180
|
1.586
|
0.414
|
|
25
|
0.153
|
1.541
|
0.459
|
1. Based on the table or Excel QM, the upper control limit for averages__________ is. (Please round it to two decimal points and include no units.)
2. Based on the table or Excel QM, the lower control limit for averages__________ is. (Please round it to two decimal points and include no units.)
3. Based on the table or Excel QM, the upper control limit for ranges__________. (Please round it to two decimal points and include no units.)
4. Based on the table or Excel QM, the lower control limit for ranges is__________. (Please round it to two decimal points and include no units.)
Colonel Electric is a large company that produces light bulbs and other electrical products. One particular light bulb is supposed to have an average life of about 1,000 hours before it burns out. Periodically the company will test 5 of these and measure the average time before these burn out. The attached table gives the results of 10 such samples.
|
SAMPLE
|
I
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
|
Mean Range
|
979
50
|
1087
94
|
1080
57
|
934
65
|
1072
135
|
1007
134
|
952
101
|
986
98
|
1063
145
|
958
84
|
5. The overall average of these means is__________, and the overall average range is_________. (Please round it to one decimal point and include no units.)
6. Based on the result in Question 5 and the attached table for Part 1 or Excel QM, the upper control limit for a 99.7% control chart for the mean/average is____________ . (Please round it to two decimal points and include no units.)
7. Based on the result in Question 5 and the attached table in Part 1 or Excel QM, the lower control limit for a 99.7% control chart for the mean/average is ______________. (Please round it to two decimal points and include no units.)
8. Does this process appear to be in control in terms of the mean?
A. Yes.
B. No.
9. Based on the result in Question 5 and the attached table for Part 1 or Excel QM, the upper control limit for a 99.7% control chart for the range is___________ and the lower control limit is___________ . (Please round it to two decimal points and include no units.)
10. Does this process appear to be in control in terms of the range?
A. Yes.
B. No.