The Precision Machining Company makes hand-held tools on an assembly line that produces one product every minute. On one of the products, the critical quality dimension is the diameter (measured in thousandths of an inch) of a hole bored in one of the assemblies. Management wants to detect any shift in the process average diameter from 0.010 in. Management considers the variance in the process to be in control. Historically, the average range has been 0.002 in., regardless of the process average. Design an x-chart to control this process, with a center line at 0.010 in. and the control limits set at three sigmas from the center line. Management provided the results of 80 minutes of output from the production line, as shown in the table below. During these 80 minutes, the process average changed once. All measurements are in thousandths of an inch. Sample data for Precision Machining Company Diameter (thousandths of an inch) Minutes 1- 12 13-24 25- 36 37 - 48 49 - 60 61-72 73- 80 10 10 9 13 13 12 10 9 10 8 6 10 8 12 12 12 11 11 12 11 11 11 11 10 12 13 10 11 10 9 10 11 11 10 11 11 9 12 13 14 10 11 10 7 10 12 12 10 13 12 9 13 12 11 9 11 10 10 11 12 13 8 10 11 11 13 12 13 11 12 9 12 . Set up an x-chart with n=4. The frequency should be sample four and then skip four. Thus, your first sample would be for minutes 1-4, the second would be for minutes 9- 12, and o on. Compute the mean, x, for each sample. (Enter your responses rounded to two decimal places) - X Reference Sample Minutes 10.75 10.00 8.75 9.75 1. 1-4 Factors for calculating three-sigma limits for the x-chart. 9- 12 17- 20 25- 28 33 - 36 3 Size of Sample Factor for UCL and LCL for x-chart (A2) (n) 10.50 11.25 9.75 2 1.880 1.023 0.729 6 41-44 7 49 - 52 CO 11.00
The Precision Machining Company makes hand-held tools on an assembly line that produces one product every minute. On one of the products, the critical quality dimension is the diameter (measured in thousandths of an inch) of a hole bored in one of the assemblies. Management wants to detect any shift in the process average diameter from 0.010 in. Management considers the variance in the process to be in control. Historically, the average range has been 0.002 in., regardless of the process average. Design an x-chart to control this process, with a center line at 0.010 in. and the control limits set at three sigmas from the center line. Management provided the results of 80 minutes of output from the production line, as shown in the table below. During these 80 minutes, the process average changed once. All measurements are in thousandths of an inch. Sample data for Precision Machining Company Diameter (thousandths of an inch) Minutes 1- 12 13-24 25- 36 37 - 48 49 - 60 61-72 73- 80 10 10 9 13 13 12 10 9 10 8 6 10 8 12 12 12 11 11 12 11 11 11 11 10 12 13 10 11 10 9 10 11 11 10 11 11 9 12 13 14 10 11 10 7 10 12 12 10 13 12 9 13 12 11 9 11 10 10 11 12 13 8 10 11 11 13 12 13 11 12 9 12 . Set up an x-chart with n=4. The frequency should be sample four and then skip four. Thus, your first sample would be for minutes 1-4, the second would be for minutes 9- 12, and o on. Compute the mean, x, for each sample. (Enter your responses rounded to two decimal places) - X Reference Sample Minutes 10.75 10.00 8.75 9.75 1. 1-4 Factors for calculating three-sigma limits for the x-chart. 9- 12 17- 20 25- 28 33 - 36 3 Size of Sample Factor for UCL and LCL for x-chart (A2) (n) 10.50 11.25 9.75 2 1.880 1.023 0.729 6 41-44 7 49 - 52 CO 11.00
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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Transcribed Image Text:The Precision Machining Company makes hand-held tools on an assembly line that produces one product every minute. On one of the products, the critical quality dimension is the
diameter (measured in thousandths of an inch) of a hole bored in one of the assemblies. Management wants to detect any shift in the process average diameter from 0.010 in.
Management considers the variance in the process to be in control. Historically, the average range has been 0.002 in., regardless of the process average. Design an x-chart to control
this process, with a center line at 0.010 in. and the control limits set at three sigmas from the center line.
Management provided the results of 80 minutes of output from the production line, as shown in the table below. During these 80 minutes, the process average changed once. All
measurements are in thousandths of an inch.
Sample data for Precision Machining Company
Diameter (thousandths of an inch)
Minutes
1- 12
10
11
13
11
12
10
9.
8
11
12
13 - 24
10
11
12
11
9
8
9
10
11
10
12
25 - 36
8
10
12
13
10
11
10
9
10
11
12
37 - 48
13
11
10
11
11
9
12
13
14
10
11
10
49 - 60
7
12
11
10
12
11
10
12
13
61 - 72
10
11
12
13
8
10
9
11
10
12
13
73 - 80
11
13
12
13
11
12
12
a. Set up an x-chart with n = 4. The frequency should be sample four and then skip four. Thus, your first sample would be for minutes 1-4, the second would be for minutes 9 - 12, and
so on.
Compute the mean, x, for each sample. (Enter your responses rounded to two decimal places.)
- X
Reference
Sample
Minutes
1
1-4
10.75
2
9- 12
10.00
Factors for calculating three-sigma limits for the x-chart.
17 - 20
8.75
25 - 28
33 - 36
Size of Sample Factor for UCL and LCL
(n)
4
9.75
for x-chart (A2)
5
10.50
41 - 44
11.25
2
1.880
3
1.023
7
49 - 52
9.75
4
0.729
57 - 60
11.00
0.577
65 - 68
9
6
0.483
10
73 - 76
12.25
7
0.419
8
0.373
9
0.337
The UCL; equals
minutes and the LCL, equals minutes. (Enter your responses rounded to two decimal places.)
10
0.308
Print
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