Q1. Refer to the Anti-corrosion Methods and Materials study of the surface roughness of coated interior pipe used in oil filed. The data (in micrometers) for 20 sampled pipe sections are reproduced in...

Q1. Refer to the Anti-corrosion Methods and Materials study of the surface roughness of coated interior pipe used in oil filed. The data (in micrometers) for 20 sampled pipe sections are reproduced in the next table. 1.722.502.162.131.062.242.312.031.091.402.572.641.262.051.192.131.271.512.411.95 Give the null and alternative hypothesis for testing whether the mean surface roughness of coated interior pipe, mu(m), differs from 2 micrometers. Find the test statistic for the hypothesis test. Give the rejection region for the hypothesis test, using alpha=0.05 It is a 95% confidence interval for m(mu). Explain why the confidence interval and test lead to the same conclusion about m. Q2. Refer to the U.S. energy information administration’s list of active nuclear power plants operating in each of a sample of 20 states. Is there sufficient evidence to claim that the mean number of active nuclear power plants operating in all states exceeds 3? Test using alpha = 0.10 Are the conditions required for a valid small-sample test reasonably satisfied? Explain. Eliminate the lowest two values and the highest two values from the data set, then conduct the test of part a on the smaller data set. What impact does this have on the test results? Why is it dangerous to eliminate data points in order to satisfy an assumption for a test of hypothesis? STATEPLANTSAlabama5Arizona3California4Florida5Georgia4Illinois11Kansas1Louisiana2Mass1Miss3NewHamp1NewYork6NCarolina5Ohio3Penn9SCarolina7Tennessee3Texas4Vermont1Wisconsin3