A magazine collected the ratings for food, decor, service and the cost per person for a sample of 96 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, = - 30.871 +0.9349X,, where X, is the summated ratings and Y, is meal cost. For these data, Syx = 8.575, X= 61.02, and h, = 0.027122 when X= 52. 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 52. (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)

MATLAB: An Introduction with Applications
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A magazine collected the ratings for food, decor, service and the cost per person for a sample of 96 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; = - 30.871 + 0.9349X;, where X; is the summated ratings and Y; is meal cost. For these data, Syx = 8.575, X= 61.02, and h; = 0.027122 when X = 52. Complete parts (a) through (c).
%3D
%3D
a. Construct a 90% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 52.
|SHYIX =x, 5
(Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
Transcribed Image Text:A magazine collected the ratings for food, decor, service and the cost per person for a sample of 96 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; = - 30.871 + 0.9349X;, where X; is the summated ratings and Y; is meal cost. For these data, Syx = 8.575, X= 61.02, and h; = 0.027122 when X = 52. Complete parts (a) through (c). %3D %3D a. Construct a 90% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 52. |SHYIX =x, 5 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
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