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 prime rib steaks per night than the restaurant located on the north side of the city. the statistician selects a random sample of size n_1 = 48 nights that the southside restaurant is open. for each night in the sample, she collects data on the r of prime rib steaks sold at the southside location and computes the sample mean m_1 = 18.43 and the sample variance s^2_1 = 22. likewise, she selects a random sample of size n_2 = 41 nights that the northside restaurant is open. for each night in the sample, she collects data on the number of prime rib steaks sold at the northside location and computes the sample mean m_2 = 14.11 and the sample variance s^2_2 = 21. 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 prime rib steaks sold per night at the southside restaurant and the mean number of prime rib steaks sold per night at the northside restaurant. this 95% confidence interval is 4.32 plusminus 1.9621 prime rib steaks. if she were to formulate nu and alternative hypotheses as h_0: mu_1 - mu_2 = 0, h_1: mu_1 - mu_2 notequalto 0 and conduct a hypothesis test with alpha = .05, she would conclude that there a significant difference between the mean nightly sales of prime rib steaks between the two restaurants.