A magazine collected the ratings for food decor service and the cost per person for a sample of 97 restaurants They combined the ratings to create a summated rating and used that to predict cost of a restaurant meal The data are modeled by Y 17 162 0 9876X where X is the summated ratings and is meal cost For these data Syx 8 801 X 62 34 and h 0 043844 wi X 50 Complete parts a through c a Construct a 95 confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 50 14 757 SHY X X 49 679 Type integers or decimals Round to three decimal places as needed Use ascending order