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The following data relate to the ages at death of a certain species of rat 1 of 3 types of diets. Thirty rats of a type having a short life span were randomly divided of size 10 each. The sample means and sample variances of the ages at death (measured the 3 groups are as follows: Very Low Calorie Moderate Calorie High Calorie Sample mean 22.4 16.8 13.7 Sample variance 24.0 23.2 17.1

The following data relate to the ages at death of a certain species of rat 1 of 3 types of diets. Thirty rats of a type having a short life span were randomly divided of size 10 each. The sample means and sample variances of the ages at death (measured the 3 groups are as follows: Very Low Calorie Moderate Calorie High Calorie Sample mean 22.4 16.8 13.7 Sample variance 24.0 23.2 17.1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The following data relate to the ages at death of a certain species of rats that were fed 1 of 3 types of diets. Thirty rats of a type having a short life span were randomly divided into 3 groups of size 10 each. The sample means and sample variances of the ages at death (measured in months) of the 3 groups are as follows: Very Low Calorie Moderate Calorie High Calorie Sample mean 22.4 16.8 13.7 Sample variance 24.0 23.2 17.1 (i) Now we want to test the hypothesis that the mean lifetime of a rat is not affected by its diet. Is this question a causal question? Can we answer the question using the above data and why? (ii) Construct the ANOVA table. Describe how to calculate the p-value. (iii) What assumptions you made in answering (ii)?
Transcribed Image Text:The following data relate to the ages at death of a certain species of rats that were fed 1 of 3 types of diets. Thirty rats of a type having a short life span were randomly divided into 3 groups of size 10 each. The sample means and sample variances of the ages at death (measured in months) of the 3 groups are as follows: Very Low Calorie Moderate Calorie High Calorie Sample mean 22.4 16.8 13.7 Sample variance 24.0 23.2 17.1 (i) Now we want to test the hypothesis that the mean lifetime of a rat is not affected by its diet. Is this question a causal question? Can we answer the question using the above data and why? (ii) Construct the ANOVA table. Describe how to calculate the p-value. (iii) What assumptions you made in answering (ii)?
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