An automatic lathe produces rollers for roller bea is set at 8.60 and for the mean range at 0.22 mm. The process is in control, as established by samples of size 4. The upper and lower specifications rollers are (8.60+0.25) and (8.60-0.25) mm, respectively. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. a. Calculate the control limits for the mean and range charts. The UCL equalsmm and the LCL equalsmm. (Enter your responses rounded to two decimal places.) the diameter of t

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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 8.60 and for the mean range at 0.22 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 (8.60+0.25) and (8.60-0.25) mm, respectively.
Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart.
a. Calculate the control limits for the mean and range charts.
The UCL equalsmm and the LCL equalsmm. (Enter your responses rounded to two decimal places.)
Size of Sample Factor for UCL and LCL
for x-chart (A₂)
2
677893566
4
Factors for calculating three-sigma limits for the x-chart and R-chart
Factor for LCL for
R-Chart (D3)
10
1.880
1.023
0.729
0.577
0.483
0.419
0.373
0.337
0.308
0
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 8.60 and for the mean range at 0.22 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 (8.60+0.25) and (8.60-0.25) mm, respectively. Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. a. Calculate the control limits for the mean and range charts. The UCL equalsmm and the LCL equalsmm. (Enter your responses rounded to two decimal places.) Size of Sample Factor for UCL and LCL for x-chart (A₂) 2 677893566 4 Factors for calculating three-sigma limits for the x-chart and R-chart Factor for LCL for R-Chart (D3) 10 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0 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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