Question 7 (15 points) A restaurant has bathrooms by the entrance, by the kitchen, and on the second floor The manager suspects the bathroom by the kitchen is more popular than the others. a. (2pt) What is the probability that a patron randomly chooses to go to the bathroom by the kitchen? b. (2pt) Since the manager suspects the bathroom by the kitchen is more popular than the others, would you expect the bathroom by the kitchen to be chosen more or less often than the probability you found in part a? c. (3 pt) Write your null and alternative hypotheses. Be sure to use the correct symbols. 12:01 PM 5/12/2022Question 8 (16 points) You are thinking of buying a branch of Chick-fil-a, but are wondering how much income you can make. You randomly survey of 70 other Chick-fil-a stores to determine their yearly net profit. In the survey, the average yearly net profit is $83,238 with a standard deviation of $10, 124. a. (2 pt) The technical conditions for constructing a confidence interval have been met. Explain why by referencing the appropriate Central Limit Theorem. b. (3 pt) Construct a 95% confidence interval for the average yearly net profit. You may round to the nearest dollar. c. (2 pt) You have a goal of making $85,000/year off his new store. Does your confidence interval lead you to believe it is possible that the average store makes $85,000? Explain by referencing the confidence interval constructed in part b. 12:03 PM 199+ 17 5/12/2022 O DELLYou conduct a random sample of 4th graders at your local elementary school to determine what proportion have a cell phone. Pretend that in your sample 85% of the students have a cell phone. What is the smallest sample size you could have used in order to form a confidence interval? You must show work to receive credit. Paragraph V BIUA EVE + . . . 12:04 PM 5/12/2022 DELL