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The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A crosstabulation of the rating data is shown. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price. Quality Quality (x) b. Compute the expected value and variance for quality rating, E(x) = Var(x) = c. Compute the expected value and variance for meal price, y. 1 2 3 Total . (Round your answer to two decimal places) (Round your answer to four decimal places) 1 2 What can you say about the relationship between quality and meal price? 3 1 0.14 0.11 0.01 Meal Price (y) 1 2 3 39 0.26 42 33 3 Total 105 300 a. Develop a bivariate probability distribution for Quality and Meal Price of a randomly selected restaurant in this Canadian city. Let = quality rating and y meal price. Round your answers to two decimal places. 60 78 18 117 Meal Price y 2 0.13 0.20 0.06 3 0.39 54 48 Total 3 84 147 69 0.01 0.18 0.16 0.35 Total 0.28 0.49 0.23 1 E(y): (Round your answer to two decimal places) (Round your answer to four decimal places) Var(y) = d. Your assistant has computed the variance of a +y: Var(x + y) = 1.6784. Compute the covariance of a and y. Round your answer to four decimal places.

The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A crosstabulation of the rating data is shown. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price. Quality Quality (x) b. Compute the expected value and variance for quality rating, E(x) = Var(x) = c. Compute the expected value and variance for meal price, y. 1 2 3 Total . (Round your answer to two decimal places) (Round your answer to four decimal places) 1 2 What can you say about the relationship between quality and meal price? 3 1 0.14 0.11 0.01 Meal Price (y) 1 2 3 39 0.26 42 33 3 Total 105 300 a. Develop a bivariate probability distribution for Quality and Meal Price of a randomly selected restaurant in this Canadian city. Let = quality rating and y meal price. Round your answers to two decimal places. 60 78 18 117 Meal Price y 2 0.13 0.20 0.06 3 0.39 54 48 Total 3 84 147 69 0.01 0.18 0.16 0.35 Total 0.28 0.49 0.23 1 E(y): (Round your answer to two decimal places) (Round your answer to four decimal places) Var(y) = d. Your assistant has computed the variance of a +y: Var(x + y) = 1.6784. Compute the covariance of a and y. Round your answer to four decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A crosstabulation of the rating data is shown. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price. E(y): Quality (x) Quality = b. Compute the expected value and variance for quality rating, *. E(x) = Var(x) = (Round your answer to two decimal places) (Round your answer to four decimal places) c. Compute the expected value and variance for meal price, y. = 1 2 3 (Round your answer to two decimal places) (Round your answer to four decimal places) Var(y) = d. Your assistant has computed the variance of x+y: Var(x + y) Total 1 2 What can you say about the relationship between quality and meal price? 3 1 0.14 0.11 0.01 1 0.26 42 33 3 78 Meal Price (y) 2 Total 105 a. Develop a bivariate probability distribution for Quality and Meal Price of a randomly selected restaurant in this Canadian city. Let x = quality rating and y meal price. Round your answers to two decimal places. 39 60 18 117 Meal Price y 2 0.13 0.20 0.06 3 0.39 3 54 48 Total 3 84 147 69 300 0.01 0.18 0.16 0.35 Total 0.28 0.49 0.23 1 1.6784. Compute the covariance of x and y. Round your answer to four decimal places.
Transcribed Image Text:The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A crosstabulation of the rating data is shown. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price. E(y): Quality (x) Quality = b. Compute the expected value and variance for quality rating, *. E(x) = Var(x) = (Round your answer to two decimal places) (Round your answer to four decimal places) c. Compute the expected value and variance for meal price, y. = 1 2 3 (Round your answer to two decimal places) (Round your answer to four decimal places) Var(y) = d. Your assistant has computed the variance of x+y: Var(x + y) Total 1 2 What can you say about the relationship between quality and meal price? 3 1 0.14 0.11 0.01 1 0.26 42 33 3 78 Meal Price (y) 2 Total 105 a. Develop a bivariate probability distribution for Quality and Meal Price of a randomly selected restaurant in this Canadian city. Let x = quality rating and y meal price. Round your answers to two decimal places. 39 60 18 117 Meal Price y 2 0.13 0.20 0.06 3 0.39 3 54 48 Total 3 84 147 69 300 0.01 0.18 0.16 0.35 Total 0.28 0.49 0.23 1 1.6784. Compute the covariance of x and y. Round your answer to four decimal places.
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