statistics The following data relate to the ages at death of a certain

| January 30, 2017

Question
The following data relate to the ages at death of a certain species of rats that were fed one of three types of diet. The rats chosen were of a type having a short life span, and they were randomly divided into three groups. The data are the sample means and sample variances of the ages of death (measured in months) of the three groups. Each group is of size 8.

Very low-calorie

Moderate-calorie

High-calorie

Sample mean

22.4

16.8

13.7

Sample variance

24

23.2

17.1

Test the hypothesis, at the 5 percent level of significance, that the mean lifetime of a rat is not affected by its diet. What about at the 1 percent level?

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