
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Transcribed Image Text:A magazine collected the ratings for food, decor, service and the cost per person for a sample of 102 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 = -25.002 + 1.0004X;, where X; is t
summated ratings and Ỹ; is meal cost. For these data, Syx = 8.731, X = 62.59, and h₁ = 0.026985 when X = 54. 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 54.
26.639 ≤HY|X=Xi
(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 54.
0.004 ≤Yx
≤ 31.40
X = 54
(Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
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