The inside diameters of bearings used in an aircraft landing gear assembly are known to have a standard deviation of 0.001. The nominal value of the inside diameter was designed to be 5.25 cm. A random sample of 20 parts is collected and their inside diameter is measured. Based on the following summary data from the study, answer the questions below 20 2x.- = 104.97 i=1 (a) State the hypothesis that you think should be tested in this experiment (3 points). Test your hypothesis in part (a) at level a: = 0.05 with: (b) Critical regions. (4 points) (c) Find the p-value of the test. (5 points). ((1) Construct a 95% two-sided confidence interval (CI) on the mean of volume. (6 points) (e) What is your conclusion? (2 points)