Increase Decrease Stays the same or not enough info e As the

Increase, Decrease, Stays the same or not enough info

e. As the number of tails increases from one to two, what happens to |zcrit|?
f. As degrees of freedom decrease, what happens to |tcrit|?
g. As degrees of freedom increase and alpha increases in value, what happens to |tcrit|?
h. As the difference between means decreases and the sample standard deviation increases, what happens to |tobt|?
i. As degrees of freedom decrease in a single sample t test, what happens to power?
j. As |tobt| increases, what happens to |tcrit|?
k. As |tobt| increases, what happens to the likelihood of rejecting H0?

Solution

a) DECREASES. The zobt is more extreme, hence is more rare.

b) STAYS THE SAME. You simply choose what alpha is.

c) STAYS THE SAME. This is dependent on alpha (significance level) alone.

d) STAYS THE SAME. zcrit does not depend on sample size.

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