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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

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
Section10.4: Distributions Of Data
Problem 19PFA
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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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