A quality assurance inspector periodically examines the output of a machine to determine whether it is adjusted properly. When aligned properly, the machine produces nails having a mean length of 2 inches, with a standard deviation of 0.07 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using a 5% level of significance, can we conclude that the machine is adjusted properly?

a. Formulate null and alternative hypotheses

b. Determine the rejection region?

c. Identify the test statistic

d. Evaluate the test statistic

e. What is the conclusion?