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 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 Sample Taken 1 2 1 2 3 4 5 6 7 8 9 10 11 12 13 3 54 46 63 40 53 56 58 55 53 57 49 53 55 61 76 44 54 64 67 41 37 55 71 48 57 51 74 49 56 61 59 67 60 58 45 76 4 56 50 5 56 60 44 52 46 55 57 51 x R 53.8 11 55.0 48.8 58.8 52.8 62.8 49.0 55.0 51.2 55.4 69 62 44 51 49 53 45 50 42 55.8 47 66 19 56.4 49 48 56.0 31 59 52 58 47 51 62 14 15 30 14 14 25 27 9 29 25 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 = hours (round your response to two decimal places). Hour Sample Taken 1 2 14 58 63 1567181920 21 22 23 24 25 3 44 57 53 47 43 54 56 47 58 56 55 46 57 51 54 44 61 51 52 55 53 56 62 47 68 44 70 62 65 60 55 56 56 55 4 56 64 39 65 63 53 45 62 53 56 55 56 5 x R 54.2 19 63 58.6 17 50 61 54 56 53.6 29 52.0 22 58.4 23 56.8 9 53.0 20 53.6 51 53.8 55 54 44 18 17 52 53.2 55.2 58.2 5 4 13 57 68
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 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 Sample Taken 1 2 1 2 3 4 5 6 7 8 9 10 11 12 13 3 54 46 63 40 53 56 58 55 53 57 49 53 55 61 76 44 54 64 67 41 37 55 71 48 57 51 74 49 56 61 59 67 60 58 45 76 4 56 50 5 56 60 44 52 46 55 57 51 x R 53.8 11 55.0 48.8 58.8 52.8 62.8 49.0 55.0 51.2 55.4 69 62 44 51 49 53 45 50 42 55.8 47 66 19 56.4 49 48 56.0 31 59 52 58 47 51 62 14 15 30 14 14 25 27 9 29 25 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 = hours (round your response to two decimal places). Hour Sample Taken 1 2 14 58 63 1567181920 21 22 23 24 25 3 44 57 53 47 43 54 56 47 58 56 55 46 57 51 54 44 61 51 52 55 53 56 62 47 68 44 70 62 65 60 55 56 56 55 4 56 64 39 65 63 53 45 62 53 56 55 56 5 x R 54.2 19 63 58.6 17 50 61 54 56 53.6 29 52.0 22 58.4 23 56.8 9 53.0 20 53.6 51 53.8 55 54 44 18 17 52 53.2 55.2 58.2 5 4 13 57 68
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
Transcribed Image Text:Sample
Size, n
2
3
4
5
6
7
8
9
10
12
Mean Factor,
A2
1.880
1.023
0.729
0.577
0.483
0.419
0.373
0.337
0.308
0.266
Upper Range,
D4
3.268
2.574
2.282
2.115
2.004
1.924
1.864
1.816
1.777
1.716
Lower Range,
D3
0
0
0
0
0
0.076
0.136
0.184
0.223
0.284
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 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
Hour
Sample
Taken
1234567
8
9
10
11
12
13
-585
2554
1
57
49
53
40
61 76 56
54
44 58
64
67 55
41 37 53
55
71 58
48
57
51
74
49 56
Sample Data
3
4
5
R
46 56
56
53.8 11
63 50
60
55.0
53 44
52
48.8
46
55
58.8
57
51
59 69
52
52.8
62.8
49.0
55.0
49 51.2
62
47
44
51
53
45
55.4
55.8
50
42
47 66 56.4
49 48 56.0
61
59 67
60 58 51
45 76
62
XI
X
14 15
30
14
14
25
27
9
29
25
19
31
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 =
hours (round your response to two decimal places).
Hour
Sample
Taken
1
14
58
15
62
16
68
17 44
18
19 62
20
21
2222
23
24
25
2
63
47
53
43
70 56
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
54.2
63
61
54
58.6
53.6
52.0
58.4
56.8
56
55
54
53.0
53.6
44
51 53.8
52
53.2
57 55.2
68
58.2
R
19
17
29
22
23
9
20
18
17
5
4
13
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 16 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman