The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly selected parts. The sample standard deviation is s 0.37. (a) Test the hypothesis versus using 0.05. State any necessary assumptions about the underlying distribution of the data. (b) Find the P-value for this test. (c) Construct a 95% two-sided CI for . (d) Use the CI in part (c) to test the hypothesis.