With given data provide x =Mean=The control limits are:UCLr=LCLr= 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'sAustin 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 requirea 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, Westtook 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 DataSample DataHourSampleTaken 1 2123 4567891011121355 56504554 6252 65 514151.854 436351.076 56 4655 58.8305443 69 4152 51.8286368 417231585241 39 556155 71 58 48 4560.449.655.451.055.655.84857505248222692924754956524662 59 66504247 6657.21962 60 5144 76 64 49 48 56.2 3254 4161I>5955X56.4R822This exercise contains only parts a and b.a) For the given data, the x = hours (round your response to three decimal places).24HourSampleTaken141516171819222222620212324251256 646347685445 4370 56615764 5658 5359 465985851 525457 5456இகசுக்கசிய455646554856455260555455456643863625347624958357575X5254.66559.05953.052.05455 58.255 56.456 53.64654.253.6505252.85555.267 58.0R191830202281916144313 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'sAustin 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 requirea 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, Westtook 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 DataSample DataHourSampleTaken 1 24567A W N -38910111213556555 5650 52544161 764154 4363 6858 7241 3952615571 58484857 50527549 56 526259665062 60 514744 7664491848849545669554554 62416351.05558.852 51.860.449.655.451.055.655.857.256.251 43 46XI45484642664856.451.8R24822314 15 16 17HourSampleTaken 130283122269292419322222324561819202122 592563684570616458515457NOFHHHHHHH2644754435657565346525654345664386362455646554856534547526260 535554545557575R526554.6 1959.0 1859 53.0 3054 52.0 2055 58.2 2255 56.456 53.646 54.253.681916501452 52.8455.258.0313IX5567

The total number of samples taken is .Sample data on 5 9 volt batteries is given above.

Answered: With given data provide x = Mean= The…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

With given data provide

x =

Mean=

The control limits are:

UCLr=

LCLr=

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
123 45
6
7
8
9
10
11
12
13
55 56
50
4
5
54 62
52 65 51
41
51.8
54 43
63
51.0
76 56 46
55 58.8
30
54
43 69 41
52 51.8
28
63
68 41
72
31
58
52
41 39 55
61
55 71 58 48 45
60.4
49.6
55.4
51.0
55.6
55.8
48
57
50
52
48
22
26
9
29
24
75
49
56
52
46
62 59 66
50
42
47 66
57.2
19
62 60 51
44 76 64 49 48 56.2 32
54 41
61
I>
5955
X
56.4
R822
This exercise contains only parts a and b.
a) For the given data, the x = hours (round your response to three decimal places).
24
Hour
Sample
Taken
14
15
16
17
18
19
2222226
20
21
23
24
25
1
2
56 64
63
47
68
54
45 43
70 56
61
57
64 56
58 53
59 46
59858
51 52
54
57 54
56
இகசுக்கசிய
45
56
46
55
48
56
45
52
60
55
54
55
4
56
64
38
63
62
53
47
62
49583
57
57
5
X
52
54.6
65
59.0
59
53.0
52.0
54
55 58.2
55 56.4
56 53.6
46
54.2
53.6
50
52
52.8
55
55.2
67 58.0
R
19
18
30
20
22
8
19
16
14
4
3
13

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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