The CEO of an oil company has asked for your help in analyzing a confidential data associated with drilling holes. It is known that the diameter of the hole is normally distributed with population mean µ = 2 inches and standard deviation σ = 0.06 inch. A random sample of nine measurements had a sample mean of1.95 inches.
(a) Write the null hypothesis and alternative hypothesis.
(b) Using a significance level of α = 0.05, determine if the drilling machine should be adjusted.
(c) What is the p-value of the test?