An automatic lathe produces rollers for roller bearings, and the process is monitored mean range at 0.26 mm. The process is in control, as established by samples of size 4. The upper and lower specifications for the diameter of the rollers are (8.50 +0.25) and (8.50-025) mm, respectively. Click the icon to view the table of factors for calculating three-sigma limits for the dift-chart a. Calculate the control limits for the mean and range charts. The UCLA equals mm and the LCLg equals mm. (Enter your responses rounded to two decimal places)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Km. 211.

An automatic lathe produces rollers for roller bearings, and the process is monitored by statistical process control charts. The central line of the chart for the sample means is set at 8.50 and for the
mean range at 0.26 mm. The process is in control, as established by samples of size 4. The upper and lower specifications for the diameter of the rollers are (8.50+0.25) and (8.50-0.25) mm,
respectively.
Click the icon to view the table of factors for calculating three-sigma limits for the xatdi-chart.
a. Calculate the control limits for the mean and range charts.
The UCLR equals mm and the LCLg equals mm. (Enter your responses rounded to two decimal places)
Size of
Sample (n)
2
3
4
5
6
7
8
Factors for calculating three-sigma limits for the x-chart and R-chart
Factor for UCL and LCL
for x-chart (A₂)
Factor for LCL
for R-Chart (D3)
9
10
1.880
1.023
0.729
0.577
0.483
0.419
0.373
0.337
0.308
0
0
OOOO
0
0
0
0.076
0.136
0.184
0.223
Factor for UCL
for R-Chart (D4)
3.267
2.575
2.282
2.115
2.004
1.924
1.864
1.816
1.777
Transcribed Image Text:An automatic lathe produces rollers for roller bearings, and the process is monitored by statistical process control charts. The central line of the chart for the sample means is set at 8.50 and for the mean range at 0.26 mm. The process is in control, as established by samples of size 4. The upper and lower specifications for the diameter of the rollers are (8.50+0.25) and (8.50-0.25) mm, respectively. Click the icon to view the table of factors for calculating three-sigma limits for the xatdi-chart. a. Calculate the control limits for the mean and range charts. The UCLR equals mm and the LCLg equals mm. (Enter your responses rounded to two decimal places) Size of Sample (n) 2 3 4 5 6 7 8 Factors for calculating three-sigma limits for the x-chart and R-chart Factor for UCL and LCL for x-chart (A₂) Factor for LCL for R-Chart (D3) 9 10 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0 0 OOOO 0 0 0 0.076 0.136 0.184 0.223 Factor for UCL for R-Chart (D4) 3.267 2.575 2.282 2.115 2.004 1.924 1.864 1.816 1.777
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