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 Y₁ = -25.002+1.0004X₁, where X; is summated ratings and Ŷ¡ is meal cost. For these data, Syx = 8.731, X = 62.59, and h; = 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=X₁ ≤ 31.40 (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. 0.004sYx=545 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) S

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 Y₁ = -25.002+1.0004X₁, where X; is summated ratings and Ŷ¡ is meal cost. For these data, Syx = 8.731, X = 62.59, and h; = 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=X₁ ≤ 31.40 (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. 0.004sYx=545 (Type integers or decimals. Round to three decimal places as needed. Use ascending order.) S

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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