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
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
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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6
![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)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5092d283-37fd-4762-962c-92db43347004%2Fbb81cc3f-c753-480f-a2b4-d5b26dbe8122%2F9j0q0we_processed.jpeg&w=3840&q=75)
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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