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.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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
c. Compute the expected value and variance for meal price,
d. The Var(x +y) = 6691. Compute the
e. Compute the
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