The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.146 minutes. The means (in minutes) of 39 samples of n = 6 are: sample mean sample mean sample mean 1 3.86 14 3.81 27 3.81 2 3.90 15 3.83 28 3.86 3 3.83 16 3.86 29 3.98 4 3.81 17 3.82 30 3.96 5 3.84 18 3.86 31 3.88 6 3.83 19 3.84 32 3.76 7 3.87 20 3.87 33 3.83 8 3.88 21 3.84 34 3.77 9 3.84 22 3.82 35 3.86 10 3.80 23 3.89 36 3.80 11 3.88 24 3.86 37 3.84 12 3.86 25 3.88 38 3.79 13 3.88 26 3.90 39 3.85 the averagee of the 39-sample means is equal to 3.85. construct an xbar-chart for this process with two-sigma limits. Is the process in control?
The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.146 minutes. The means (in minutes) of 39 samples of n = 6 are: sample mean sample mean sample mean 1 3.86 14 3.81 27 3.81 2 3.90 15 3.83 28 3.86 3 3.83 16 3.86 29 3.98 4 3.81 17 3.82 30 3.96 5 3.84 18 3.86 31 3.88 6 3.83 19 3.84 32 3.76 7 3.87 20 3.87 33 3.83 8 3.88 21 3.84 34 3.77 9 3.84 22 3.82 35 3.86 10 3.80 23 3.89 36 3.80 11 3.88 24 3.86 37 3.84 12 3.86 25 3.88 38 3.79 13 3.88 26 3.90 39 3.85 the averagee of the 39-sample means is equal to 3.85. construct an xbar-chart for this process with two-sigma limits. Is the process in control?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Question
The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.146 minutes. The means (in minutes) of 39 samples of n = 6 are:
|
sample |
mean |
sample |
mean |
sample |
mean |
|
1 |
3.86 |
14 |
3.81 |
27 |
3.81 |
|
2 |
3.90 |
15 |
3.83 |
28 |
3.86 |
|
3 |
3.83 |
16 |
3.86 |
29 |
3.98 |
|
4 |
3.81 |
17 |
3.82 |
30 |
3.96 |
|
5 |
3.84 |
18 |
3.86 |
31 |
3.88 |
|
6 |
3.83 |
19 |
3.84 |
32 |
3.76 |
|
7 |
3.87 |
20 |
3.87 |
33 |
3.83 |
|
8 |
3.88 |
21 |
3.84 |
34 |
3.77 |
|
9 |
3.84 |
22 |
3.82 |
35 |
3.86 |
|
10 |
3.80 |
23 |
3.89 |
36 |
3.80 |
|
11 |
3.88 |
24 |
3.86 |
37 |
3.84 |
|
12 |
3.86 |
25 |
3.88 |
38 |
3.79 |
|
13 |
3.88 |
26 |
3.90 |
39 |
3.85 |
the averagee of the 39-sample means is equal to 3.85. construct an xbar-chart for this process with two-sigma limits. Is the process in control?
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