(Problem Set Ch10 Q10) please answer all questions. Need to have 3 answers total for this one question.

Problem Set: Chapter 10 The t Test for Two Independent Samples Back to Assignment Attempts Keep the Highest / 1 10. The relationship between confidence intervals and hypothesis testing In an effort to better manage his inventory levels, the owner of two steak and seafood restaurants, both located in the same city, hires a statistician to conduct a statistical study. The owner Is Interested in whether the restaurant located on the south side sells more halibut fillets per night than the restaurant located on the north side of the city. The statistician selects a random sample of size na = 35 nights that the southside restaurant is open. For each night in the sample, she collects data on the number of halibut fillets sold at the southside location and computes the sample mean M. = 13.08 and the sample variance s.- 28. Likewise, she selects a random sample of size na - 32 nights that the northside restaurant is open. For each night in the sample, she collects data on the number of halibut fillets sold at the northside location and computes the sample mean Ma - 10.05 and the sample variance s.= 27. The statistician checks and concludes that the data satisfy the required assumptions for the independent-measures t test. Then she computes the 95% confidence interval for estimating the difference between the mean number of halibut fillets sold per night at the southside restaurant and the mean number of halibut fillets sold per night at the northside restaurant. This 95% confidence interval is 3.03 # 2.5624 halibut fillets. If she were to formulate null and alternative hypotheses as He: Us - us = 0, Hi: Us - Us + 0 and conduct a hypothesis test with a = 0.05, the null hypothesis rejected based on the result that a difference of zero In the computed interval. Hence, she would conclude that there a significant difference between the mean nightly sales of hallbut fillets between the two restaurants