Question: An analyst has drawn twelve samples, each containing six sample points, from a process that produces a product. The diameter of each product in the

An analyst has drawn twelve samples, each containing six sample points, from a process that produces a product. The diameter of each product in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were:

Sample

Sample

Mean (in.)

Range (in.)

1

10.012

0.009

2

10.007

0.014

3

9.991

0.007

4

10.006

0.026

5

9.997

0.016

6

9.999

0.012

7

10.001

0.008

8

10.005

0.013

9

9.995

0.015

10

10.001

0.011

11

10.003

0.014

12

10.006

0.009

  1. Determine the upper and lower control limits and the overall means for x-charts and R-charts.
  2. Draw the charts and plot the values of the sample means and ranges.
  3. Do the data indicate a process that is in control?

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