A stamping process produces a part that has a feature with critical thickness specification of 5.00 , 0.10 mm. It is believed that the stamping process is centered at the target value of 5.00 mm. The distribution of the thickness is known to follow a normal distribution with a standard deviation unknown. A sample of 10 stamped parts is taken, and the thickness measurements are:
Part 1 2 3 4 5 6 7 8 9 10
Thickness 5.05 5.06 4.96 5.01 4.99 5.07 4.95 4.97 5.00 5.04
(a) Construct the 95% Confidence Interval for the thickness measurements.
(b) Construct the 95% Confidence Interval for the variance of the thickness measurements
(c) Based on the Confidence Interval from (a), can we be assured that the mean thickness is at 5.00 mm