4. The average price in the market for a diamond is $4,000.00. A jewelry store manager wants to determine if his sales are within the market range. Run the Distribution of PRICE and answer the following questions using this information. (3 points) a. Write out the manager's problem in testable null and alternative hypothesis terms. b. Test your hypothesis with a two-sided t-test to determine if the price in the dataset is over or under the market average price. c. What suggestion would you give to the jewelry store manager regarding his prices according to this data