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 60 hours, about 10% longer than competitors' models. To raise the lifetime above this level would require 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, West 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 Hour
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 60 hours, about 10% longer than competitors' models. To raise the lifetime above this level would require 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, West 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 Hour
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
This exercise contains only parts a and b.
a) For the given data, the x=___ hours (round your response to three decimal places).
For the given data, mean range =____hours (round your response to two decimal places).
With z=3, the control limits for the mean chart are:
UCLx = ____ hours (round your response to three decimal places).
LCLx = _____ hours (round your response to three decimal places).
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 60 hours, about 10% longer than competitors' models. To raise the lifetime above this
level would require 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, West 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
Hour
Sample
Taken
1
Sample
Taken
1
2
4
5
R
2
3
4
R
1
60
61
60
59
67
61.4
8
14
62
69
51
62
56
60.0
18
55
57
70
56
46
56.8
24
15
67
53
63
69
70
64.4
17
60
45
58
49
57
53.8
15
16
72
58
51
44
64
57.8
28
66
81
61
51
60
63.8
30
17
49
49
58
68
59
56.6
19
58
47
87
47
58
59.4
40
18
75
59
51
67
61
62.6
24
69
72
60
64
74
67.8
14
19
68
64
63
57
61
62.6
11
46
44
59
59
65
54.6
21
20
70
59
50
51
60
58.0
20
60
77
62
52
49
60.0
28
21
63
57
58
69
50
59.4
19
54
62
57
57
53
56.6
22
66
49
66
59
54
58.8
17
10
81
54
59
57
52
60.6
29
23
56
59
61
60
58
58.8
11
67
65
73
54
46
61.0
27
24
60
61
60
62
61
60.8
2
12
66
64
56
51
72
61.8
21
25
61
59
61
62
73
63.2
14
13
51
81
67
54
53
61.2
30
2 34 5 6 7 8 9
Transcribed Image Text:With these limits established, West now takes 5 more hours of data, which are shown in the following table. Calculate the mean and range for each hour that the sample data is taken.
(Enter your responses for the mean to one decimal place and enter your responses for the range as whole numbers.)
Sample Data
Hour
Sample
Taken
1
2
3
4
R
26
59
61
48
68
72
27
56
64
59
55
77
28
72
58
60
56
64
29
67
81
55
63
70
30
55
48
57
63
62
b) Do the samples for hours 26 through 30 indicate that the process is in control?
Based on the X-chart, the process has been
Based on the R-chart, the process has been
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