Question

In: Statistics and Probability

Answer the following questions with “it increases,” “it decreases,” “it stays the same,” or “not enough information to answer.”

Answer the following questions with “it increases,” “it decreases,” “it stays the same,” or “not enough information to answer.” Assume any factors in the situation not mentioned in the problem remain the same. In your write-up, just list the sub-question letter and your answer – no need to restate the question or to justify your answer.

  1. As |tobt| increases, what happens to the p value?

B. As |tobt| increases, what happens to the value of alpha?

C. As N increases, what happens to |tcrit|?

D. As the number of tails in a test increases from one to two, what happens to |tcrit|?

E. If the difference between two means increases in a t test, what happens to the absolute value of Cohen’s d?

F. As the difference between means decreases, what happens to the absolute value of Cohen’s d?

G. As the difference between means increases and the sample standard deviation decreases, what happens to |tobt| in the single sample t test?

Solutions

Expert Solution

A. As |tobt| increases, what happens to the p value?

Answer : The p-value decreases as |tobt| increases.

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B. As |tobt| increases, what happens to the value of alpha?

Answer : The value of alpha remains the same.

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C. As N increases, what happens to |tcrit|?

Answer : As N increase, |tcrit| decreases.

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D. As the number of tails in a test increases from one to two, what happens to |tcrit|?

Answer : The |tcrit| value increases as number of tails in a test increases from one to two.

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E. If the difference between two means increases in a t test, what happens to the absolute value of Cohen’s d?

Answer: The absolute value of Cohen's d increases.

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F. As the difference between means decreases, what happens to the absolute value of Cohen’s d?

Answer: The absolute value of Cohen's d decreases.

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G. As the difference between means increases and the sample standard deviation decreases, what happens to |tobt| in the single sample t test?

Answer: The |tobt| increases.


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