3 groups are as follows: Very Low Caloric Moderate Caloric High Caloric Sample mean Sample variance 22.4 16.8 13.7 24.0 23.2 17.1 Now we want to test the hypothesis that the mean lifetime of a rat is not affected by its diet. Is

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6.
The following data relate to the ages at death of a certain species of rats that were fed
1 of 3 types of dicts. Thirty rats of a type having a short life span were randomly divided into 3 groups
of size 10 cach. The sample means and sample variances of the ages at death (measured in months) of
the 3 groups are as follows:
Very Low Caloric Moderate Caloric High Caloric
Sample mean
Sample variance
22.4
16.8
13.7
24.0
23.2
17.1
(i) Now we want to test the hypothesis that the mcan lifetime of a rat is not affected by its dict. Is
this question a causal question? Can we answer the question using the above data and why?
(ii) Construct the ANOVA tablc. Describe how to calculate the p-valuc.
(iii) What assumptions you made in answering (ii)?
Transcribed Image Text:6. The following data relate to the ages at death of a certain species of rats that were fed 1 of 3 types of dicts. Thirty rats of a type having a short life span were randomly divided into 3 groups of size 10 cach. The sample means and sample variances of the ages at death (measured in months) of the 3 groups are as follows: Very Low Caloric Moderate Caloric High Caloric Sample mean Sample variance 22.4 16.8 13.7 24.0 23.2 17.1 (i) Now we want to test the hypothesis that the mcan lifetime of a rat is not affected by its dict. Is this question a causal question? Can we answer the question using the above data and why? (ii) Construct the ANOVA tablc. Describe how to calculate the p-valuc. (iii) What assumptions you made in answering (ii)?
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