Two samples each with n 8 produced an independent sample t

Two samples, each with n = 8, produced an independent sample t statistic of t = –2.17. Which of the following the correct decisions for a two-tailed test?

A. Reject the Null with a= .05 but fail to reject with a= .01

B. Reject the null with both, a= .05 and a= .01

C. Fail to reject the null a= .05 but reject null with a= .01

D. Fail to reject null with both a= .05 and a= .01

Solution

Here,

n1 = n2 = 8

Thus,

df = n1 + n2 - 2 = 14

Thus, for a two tailed t test, using a table, the critical values for 0.05 and 0.01 level are

tcrit (0.05) = +/- 2.144786688
tcrit (0.01) = +/- 2.976842734

Thus, as |t| > 2.1447, we reject at 0.05 level. However, as |t| < 2.9768, we do not reject at 0.01 level.

Thus, OPTION A. Reject the Null with a= .05 but fail to reject with a= .01 [ANSWER]