Repeat Exercise 7.66 but replace the \(t\) test with the large sample \(Z\) test.

Data From Exercise 7.66 

7.66 Refer to the nanopillar height data on page 25. Using the 95% confidence interval, based on the t distribu- tion, for the mean nanopillar height N Mean StDev SE Mean 50 305.580 36.971 5.229 95% CI (295.073, 316.087) (a) decide whether or not to reject Ho = 320 nm in favor of H 320 at = 0.05; (b) decide whether or not to reject Ho = 310 nm in favor of H 310 at = 0.05. (c) What is your decision in part (b) if a = 0.02? Explain.