The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan ares. Each

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The Chamber Of Commerce In A Canadian City Has Conducted An Evaluation Of 300 Restaurants In Its Metropolitan Ares Each 1 (62.54 KiB) Viewed 23 times

The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan ares. Each restaurant received a rating on a 3-point scale (1 lowest to 3 highest) on typical meal price and quality (1 lowest to 3 highest). A crosstabulation of the rating data is shown below. Forty-two of the restaurants received a rating of 1 on quality and 1 or 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. Meal Price Quality 1 2 3 Total 1 39 3 84 2 63 51 144 3 3 21 48 72 Total 75 123 102 300 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 dedmal places. Meal Pricey 2 Quality x 1 3 Total 1 2 Total b. Compute the expected value and variance for quality rating, X. (Round your answer to two decimal places) Var(x) = (Round your answer to four decimal places) c. Compute the expected value and varience for meal price, Ely) (Round your answer to two decimal places) Vary) - (Round your answer to four decimal places) d. Your assistant has computed the variance of x+y: Varlx + y) - 1.6591. Compute the covariance of x and y. Round your answer to four decimal places. What can you say about the relationship between quality and meal price? Select your answer Is this what you would expect? - Select your answer . c. Compute the correlation coefficient between quality and meal price? Round your answer to four decimal places. What is the strength of the relationship? - Select your answer Do suppuse it is ikely to find a low cost restaurant in this city that is also high quality? - Select your answer