The following data relate to the ages at death of a

Chapter , Problem 9

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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 dies. 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:

\(\begin{array}{lccc}
\hline & \text { Very Low Calorie } & \text { Moderate Calorie } & \text { High Calorie } \\
\hline \text { Sample mean } & 22.4 & 16.8 & 13.7 \\
\text { Sample variance } & 24.0 & 23.2 & 17.1 \\
\hline
\end{array}\)

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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