Please find b

Chapter 13 Homework Question 13, 13.8.57-T HW Score: 46.63%, 7 of 15 points Part 2 of 3 O Points: 0 of 1 Save A magazine collected the ratings for food, decor, service and the cost per person for a sample of 98 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Y, = - 27.277 + 1.1079X;, where X, is the summated ratings and Y, is meal cost. For these data, Syy = 8.867, X =60.75, and hi = 0.030937 when X=51. Complete parts (a) through (c). a. Construct a 90% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 51. 26.636 SHYIX =x S 31.816 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) b. Construct a 90% prediction interval of the cost of a meal for an individual restaurant that has a summated rating of 51. SY X = 51 5 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)