Attempts I I Do No Harm I 1 9. The relationship between condence 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 salmon fillets per night than the restaurant located on the north side of the city. The statistiCian selects a random sample of size n. : 48 nights that the southside restaurant is open. For each night in the sample. she collects data on the number of salmon fillem sold at the southside location and computes the sample mean M] = 64.21 and the sample variance 5%: 22. LikewiseI she selects a random sample of size n; = 4]. nights that the northside restaurant is open. For each night in the sample, she collects data on the number of salmon llets sold at the northside location and computes the sample mean M2 : 62.43 and the sample variance 5;: 21. The statistician (.118th and concludes that the data satisfy the required assumptions for the independent-measures t test. Then she computes the 95% condence interval for estimating the difference between the mean number of salmon fillets sold per night at the southside restaurant and the mean number of salmon llets sold per night at the northside restaurant. This 95% confidence interval is 1.73 d: 1.9621 salmon llets. If she were to formulate null and alternative hypotheses as Ha: p, - p2 : l], H1: p1 - p; i 0 and conduct a hypothesis test With a : U35, the null hypothesis rejected based on the result that a difference of zero V in the computed interval. Hence, she would conclude that there V a signicant difference between the mean nightly sales of salmon llets between the two restaurants. Continue without sawing