In: Statistics and Probability
The diameters of steel shafts produced by a certain manufacturing process should have a mean diameter of 0.255 inches. The diameter is known to have a standard deviation of 0.0001 inch. A random sample of 10 shafts was performed and the average diameter was 0.2545 inch.
a. Set up appropriate hypotheses on the mean
b. Test these hypotheses using α = 0.05 and α = 0.1. What are your conclusions?
c. Find the P-value for this test.
d. Construct a 95% confidence interval (CI) for the mean shaft diameter.