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In: Statistics and Probability

(60) 15 subjects were assigned randomly to one of three diet regimens: Diet 1, Diet 2...

  1. (60) 15 subjects were assigned randomly to one of three diet regimens: Diet 1, Diet 2 and Diet 3. The weights of the subjects are listed as the response variable. The output of the analysis is below.

           

Df

Sum Sq

Mean Sq

F value

Pr(>F)

Response    

1

0.943

0.9430  

1.354

0.266

Residuals

13

9.057

0.6967
    1. What test was conducted?
    1. What was the research question (null and alternative hypothesis in words)?
    1. State the null hypothesis.
    1. State the alternative hypothesis.
    2. What is the common variance for the diet regimens? What is another name for this common variance?
    1. What is the Between-Group Variance?
    1. What is the Within-Group Variance?
    1. What is the F-Statistic? How was the F-Statistic Calculated?
    1. At the 0.10 alpha level, what is the critical F-Statistic?
    1. State your conclusion in the context of this problem.
    1. Do you see anything in the output that suggests that an error was made in the data entry? If so, what mistake was likely made?
    2. Do you believe that your results are accurate?

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Expert Solution

Theory of F statistics testNow we discuss given question

orchestra answered 2 years ago
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