The Mean Corporation would like to invest in the booming health food industry. It is considering the creation of a health-drink franchise called Goose Juice. The investment department of the Mean Corporation wants to investigate the feasibility of this venture by examining the profits of similar franchises. It is risk averse and does not want to move into the venture if an average annual prot of less than $85,000 can be expected from each Goose Juice that is opened. It is known that the annual prots earned by health-drink franchises has a population standard deviation of $7,500. J Mean The Mean Corporation's statisticians would like to construct a hypothesis test for the mean annual prot (p) earned by health-drink COI' oration franchises. A random sample of 23 franchises were chosen and their annual prot for the previous financial year was recorded. The mean annual prot for the sample was calculated as $83,400. The hypotheses that will be used by the statisticians are Ho: u = 85,000 and HA: u