Question

In: Statistics and Probability

A technology student project group worked with a machine shop that employs a CNC lathe in...

A technology student project group worked with a machine shop that employs a CNC lathe in the machining of a part produced for a heavy equipment manufacturer. Some summary statistics for a diameter on the part obtained from 25 samples of n=4 parts turned on the lathe are given below. The units are inches.

Sample                                   x-bar                                       R

                 1                                      1.18093                                  .0001

                 2                                      1.18085                                  .0002

                 3                                      1.18095                                  .0002

                 4                                      1.18063                                  .0008

                 5                                      1.18053                                  .0007

                 6                                      1.18053                                  .0005

                 7                                      1.18053                                  .0005

                 8                                      1.18195                                  .0001

                 9                                      1.18100                                  .0003

                10                                     1.18095                                  .0001

   55                            Sum 11.80885                                 .0007

Find retrospective control limits for the values above (both means and ranges). What do the x-bar and R values indicate about the stability of the turning process?

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