You wish to test the claim that 30 at a level of significance of = 0.01 and are given sample statistics n = 40 and= 31.8.

a) The sample mean is 31.8.Before doing any work, what is gut feeling about the chances of the population mean being less than or equal to 30?Do you think that the sample mean of 31.8 provides evidence for the claim?

b) Assume the population standard deviation is 4.3.Compute the value of the standardized test statistic.Round your answer to two decimal places.

c) Complete the hypothesis test and compare with your guess in part a.