Question: A machining operation requires close tolerances on a certain part for automobile engines. The current specification for this measurement is 3.0 cm .001. The

A machining operation requires close tolerances on a certain part for automobile engines. The current specification for this measurement is 3.0 cm ± .001. The quality control procedure is to take a sample of size 4 and measure each of the parts. On the basis of past samples of size 4, x-bar = 3.0 and R-bar = .0020.
a. Construct an average and range chart for this part.
b. On the basis of the following data, is the process in control?
A machining operation requires close tolerances on a certain part

c. Is the process running outside of its specifications?

Sample 12 3 4 X 3.0005 2.9904 3.0010 3.0015 3.0008 R 0.0024 0.0031 0.0010 0.0040 0.0010

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