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Mathematics, 17.04.2020 19:54 lele650

Researchers were interested in how belief in psychic abilities affected performance on a card matching activity. Participants were divided into four groups based on their reported level of belief:

Group 1: No belief
Group 2: Some belief, but skeptical
Group 3: Some belief, but open-minded
Group 4: Full belief

Then for each participant, a researcher drew 20 cards from the top of a standard deck of cards, and asked the participant to guess the suit of each card. For each participant, the number of successes was recorded.

The researchers performed ANOVA to determine if there were any differences in the mean number of successes among the groups. Their F statistic was F = 4.34.

A second group of researchers did an exact replication of the first study - the procedure, and sample sizes in each group, were exactly the same as the first study. The second study had an F statistic of F = 2.12.

First study: F = 4.34
Second study: F = 2.12

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

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

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

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

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

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

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

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

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

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