"he Mean Corporation would like to invest in the booming health food industry. It is considering the creation of a healthdrink franchise called Goose Juice. The investment department of the Mean Corporation wants to investigate the feasibility of this venture by examining the prots of similar franchises. It believes that the venture will be feasible if an average annual prot of more than 789,000 can be expected from each Goose Juice that is opened. It is known that the annual prots earned by healthdrink franchises has a population standard deviation of $8,900. "he Mean Corporation's statisticians would like to constIuct a hypothesis test for the mean annual prot (p) eamed by healthdrink franchises. A random sample of 37 franchises were chosen and their annual prot for the previous nancial year was recorded. The mean annual prot for the sample was calculated as $90,500. The hypotheses that will be used by the statisticians are Ha: p = 89,000 and HA: |J > 89,000. You may nd this standard normal table useful throughout the following questions. a) Calculate the test statistic [2) that corresponds to the sample and hypotheses. Give your answer to 3 decimal places. J. Mean Cor oration b) Using the test statistic for the Mean Corporation's hypothesis test and level a = 0.05, the Mean Corporation should the null hypothesis. c) If the sample size is increased to 56 (but the sample mean remains unchanged), the Mean Corporation should the null hypothesis. accept not reject