Answer the following questions with “it increases,” “it decreases,” “it stays th

Question

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.

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

i. If the standard error in a z test increases in value only because the sample size changed, what will happen to the absolute value of Cohen’s d?

j. As degrees of freedom increase, what happens to t crit?

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

l. As degrees of freedom increase in a single sample t test, what happens to power?

m. As tobt increases, what happens to t crit ?

n. As |robt| increases, what happens to the likelihood of rejecting H0 that = 0?

o. As N decreases and alpha decreases in value, what happens to r crit?

p. What happens to the width of a confidence interval when you go from having computed a 99% to computing a 95% confidence interval?

Explanation / Answer

h.

Since difference comes into numerator so the  absolute value of Cohen’s d is also increases as  the difference between means increases.

i.

In calculating Cohen's d sample size does not used so it remain unchanged.

j.

As the degree of freedom increases, critical value decreases.

k.

As difference comes into numerator and standard deviation is denominator so As the difference between means decreases and the sample standard deviation increases, tobt in the single sample t test decreases.

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