6.Assume the population is normally distributed.Given a sample size of 225, with sample mean of 750 and standard deviation of 30, we perform the following hypothesis test.

H0: = 745

Ha: 745

(a)Is this test for population proportion, mean or standard deviation? What distribution should you apply for the critical value?

(b)What is the test statistic? (Show work and round the answer to three decimal places)

(c)What is the p-value? (Show work and round the answer to two decimal places. If you use technology to find the P-value, you have to describe the steps).