Meal Price (y) Quality (x) Total 1 2 3 1. 42 39 3 84 33 63 54 150 3 3 15 48 66 Total 78 | 117 105 300 2.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

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 (1least expensive to 3 most expensive) and quality (1 lowest quality to 3 greatest quality). A crosstabulation of the rating data isshown below. Forty-two of the restaurants received a rating of 1on quality and 1on meal price,39 of the restaurants received a rating of 1on 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.

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

b. Compute the expected value and variance for quality rating,x.

c. Compute the expected value and variance for meal price,

d. The Var(x +y) = 6691. Compute the covariance of x and y.What can you say about the relationship between quality and meal price? Is this what you would expect?

e. Compute the correlation coefficient between quality and meal What is the strength of the relationship? Do you suppose it is likely to find a low­ cost restaurant inthis city that isalso high quality? Why or why not?

 

Meal Price (y)
Quality (x)
Total
1
2 3
1.
42 39 3
84
33 63
54
150
3
3
15
48
66
Total
78 |
117 105 300
2.
Transcribed Image Text:Meal Price (y) Quality (x) Total 1 2 3 1. 42 39 3 84 33 63 54 150 3 3 15 48 66 Total 78 | 117 105 300 2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 13 images

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman