1. Kane discusses the concentricity of an engine oil seal groove. Historically, the standard deviation for the concentricity is 0.7. The target average concentricity is 5.6. To monitor this process, he periodically takes a random sample of three measurements
a. A recent sample yielded a sample mean of 5.8. Conduct a hypothesis test to determine whether the true mean concentricity has changed. Use a 0.05 significance level.
b. Find the p-value associated with the test in part a
c. Construct a 95% confidence interval for this situation. Use this interval to determine whether the true mean concentricity has changed. Discuss the relationship of the 95% confidence interval and the corresponding hypothesis test.
d. What did you assume to do these analyses? How can you check these assumptions?