This exercise contains only parts a and b. a) For the given data, the x = 54.856 hours (round your response to three decimal places). For the given data, mean range = 18.36 hours (round your response to two decimal places). With z=3, the control limits for the mean chart are: UCL = hours (round your response to three decimal places).

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West Battery Corp. has recently been receiving complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. James West, head of the TQM program at West's
Austin plant, believes there is no problem because his batteries have had an average life of 55 hours, about 10% longer than competitors' models. To raise the lifetime above this level would requ
a new level of technology not available to West. Nevertheless, he is concerned enough to set up hourly assembly line checks. Previously, after ensuring that the process was running properly, W
took samples of 5 9-volt batteries for 25 test to establish the standards for control chart limits. Those 25 tests are shown in the following table:
Sample Data
Sample Data
Hour
Sample
Taken 1 2
3
4
56
5
56
57
54
46
49
53 63 50
60
55
40
53
44
52
61
76
56
46
55
54 44
58
57 51
64
67
55 59 69
41
37
53
52
62
55
71 58
47
44
48
57 51 51 49
74 49
61 59 67
60 58 51
45 76
1
2
W N
3
4
5
6
7
8
9
10
11
12
13
X
R
53.8 11
55.0
48.8
58.8
30
52.8
14
62.8
14
49.0 25
55.0 27
51.2 9
56 53 45 55.4 29
50 42 55.8 25
47 66 56.4 19
62 49 48 56.0
31
14 15
This exercise contains only parts a and b.
a) For the given data, the x = 54.856 hours (round your response to three decimal places).
For the given data, mean range = 18.36 hours (round your response to two decimal places).
With z=3, the control limits for the mean chart are:
UCL
hours (round your response to three decimal places).
Hour
Sample
Taken
14
15
16
17
18
19
20
21
2222
23
24
25
1
2
58 63
62
47
68
53
44 43
70
56
62
58
65
55
57 51
60 44
51 52
55
56
56
55
3454
57
47
54
47
56
46
54
61
55
53
56
4
56
64
39
65
63
53
45
62
53
56
55
56
XI
5
50
63
61
54
54.2
58.6
53.6
52.0
56 58.4
55 56.8
54
53.0
44
53.6
51
53.8
52
53.2
57 55.2
68
58.2
RS122
19
17
29
23
9
20
18
17
5
4
13
Transcribed Image Text:West Battery Corp. has recently been receiving complaints from retailers that its 9-volt batteries are not lasting as long as other name brands. James West, head of the TQM program at West's Austin plant, believes there is no problem because his batteries have had an average life of 55 hours, about 10% longer than competitors' models. To raise the lifetime above this level would requ a new level of technology not available to West. Nevertheless, he is concerned enough to set up hourly assembly line checks. Previously, after ensuring that the process was running properly, W took samples of 5 9-volt batteries for 25 test to establish the standards for control chart limits. Those 25 tests are shown in the following table: Sample Data Sample Data Hour Sample Taken 1 2 3 4 56 5 56 57 54 46 49 53 63 50 60 55 40 53 44 52 61 76 56 46 55 54 44 58 57 51 64 67 55 59 69 41 37 53 52 62 55 71 58 47 44 48 57 51 51 49 74 49 61 59 67 60 58 51 45 76 1 2 W N 3 4 5 6 7 8 9 10 11 12 13 X R 53.8 11 55.0 48.8 58.8 30 52.8 14 62.8 14 49.0 25 55.0 27 51.2 9 56 53 45 55.4 29 50 42 55.8 25 47 66 56.4 19 62 49 48 56.0 31 14 15 This exercise contains only parts a and b. a) For the given data, the x = 54.856 hours (round your response to three decimal places). For the given data, mean range = 18.36 hours (round your response to two decimal places). With z=3, the control limits for the mean chart are: UCL hours (round your response to three decimal places). Hour Sample Taken 14 15 16 17 18 19 20 21 2222 23 24 25 1 2 58 63 62 47 68 53 44 43 70 56 62 58 65 55 57 51 60 44 51 52 55 56 56 55 3454 57 47 54 47 56 46 54 61 55 53 56 4 56 64 39 65 63 53 45 62 53 56 55 56 XI 5 50 63 61 54 54.2 58.6 53.6 52.0 56 58.4 55 56.8 54 53.0 44 53.6 51 53.8 52 53.2 57 55.2 68 58.2 RS122 19 17 29 23 9 20 18 17 5 4 13
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