Find the t-values that form the boundaries of the critical region for a two-tail

Question

Find the t-values that form the boundaries of the critical region for a two-tailed test with alpha= .05 for each of the following sample size (N) values. N = 12 +/-2.782287656 N 24 +/-2.06389857 N = 36 +/-2.0280940 Based on the answers for (a) to (c) above, what can you glean about the relationship between sample size and the critical value? If you have the same t statistic but different sample sizes in two studies, is it more or less likely to have a significant result with the larger sample size?

Explanation / Answer

a. For n=12, df=11 so t value is +/- 2.20098516

b. For n=24, df=23 so t value is +/- 2.06865761

c for n=36, df=35 so t value is +/- 2.03010793

d. We observe that as we increase sample size t value decreases.

e.

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