Question

First study: F = 5.18 Second study: F = 2.91 Which of the following statements about...

First study: F = 5.18 Second study: F = 2.91

Which of the following statements about the two studies are true?

-In the second study, MSG/MSE (MSG divided by MSE) was larger than in the first study.

-In the second study, MSG/MSE (MSG divided by MSE) was smaller than in the first study.

-The second study found stronger evidence against the null hypothesis than the first study found.

-Both studies had the same value of MSG/MSE (MSG divided by MSE).

-The p-value in the second study is larger than the p-value in the first study.

-The p-value in the second study is smaller than the p-value in the first study.

-It is impossible to compare the p-values in these studies.

-The second study found weaker evidence against the null hypothesis than the first study found.

Math   Statistics-And-Probability   
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Answer #1

we have givcen the F value of two studies which are

First study: F = 5.18 Second study: F = 2.91

-In the second study, MSG/MSE (MSG divided by MSE) was smaller than in the first study. because ration is small for the second study

-The p-value in the second study is larger than the p-value in the first study. because smaller test stat value tend to larger p value

-The second study found weaker evidence against the null hypothesis than the first study found.because smaller F value has more chance to fall away from rejection region

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