During an angiogram, heart problems can be examined through asmall tube threaded into the heart from a vein in the patient’sleg. It is important the tube is manufactured to have a diameter of2.0mm. In a random sample of 12 tubes, the average was 2.025mm witha sample standard deviation of 0.021mm.
(a) Make a 99% confidence interval for the mean tube diameter.Conduct a Hypothesis test for mean tube diameter.
(b) What are the appropriate Null and Alternative Hypotheses
(c) Determine the appropriate reference distribution
(d) Calculate the test statistic
(e) Calculate the p-value
(f) What is your conclusion at the α = 0.01 significancelevel?
(g) What is your conclusion about the safety of the tubes beingmanufactured?
(h) Does the conclusion you reach from your hypothesis testagree with you answer in 3a? Explain
