25 May 2022 12:53 HOTEL RESTAURANT 9,7 6,5 9,5 6,4 7,6 6,4 6,8 6,2 6,7 4,9 6,7 4,6 6,6 4,6 4,6 4,2 3,9 3,6 3,9 3,2 3,7 2,9 3,3 2,8 3 2,7 0,8 2,5 0,5 a) Identify the 95% confidence interval for the mean profitability rate of all restaurants in that city. b) At the 1% significance level, do the data provide sufficient evidence to conclude that, on average, profitability rate of all hotels in the city is less than 7 percent? Answers without justification will not receive any points c) Determine a 90% confidence interval for the difference between the mean profitability rates of hotels and restaurants in the city. d) At the 5% significance level, do the data provide sufficient evidence to conclude that mean profitability rate of hotels exceeds that of restaurants in that city? Answers without justification will not receive any points