In: Statistics and Probability
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?