Assume the population is normally distributed. Given a sample size of 225, with a sample mean of 750 and a standard deviation of 30, we perform the following hypothesis test.
H0: μ = 745
Ha: μ ≠ 745
a) Is this test for the population proportion, mean, or standard deviation? What distribution should you apply for the critical value?
b) What is the test statistic?
c) What is the p-value?
d) What is your conclusion of the test at the α = 0.1005 level? Why?