For each of the following t values (a-d), indicate whether the t statistic is statistically significant for a two-tailed test, at the specified alphas:
a. t = 2.90, df = 25, α = 0.01
b. t = 2.20, df = 25, α = 0.05
c. t = 5.52, df = 10, α = 0.01
d. t = 2.02, df = 20, α = 0.05
Accepted Solution
A:
a) The critical values for a two-tailed test with df = 25 and α = 0.01 is ±2.7874, since 2.90 > 2.7874, then the t statistic is statistically significant.
b) The critical values for a two-tailed test with df = 25 and α = 0.05 is ±2.0595, since 2.20 > 2.0595, then the t statistic is statistically significant.
c) The critical values for a two-tailed test with df = 10 and α = 0.01 is ±3.1693, since 5.52 > 3.1693, then the t statistic is statistically significant.
d) The critical values for a two-tailed test with df = 20 and α = 0.05 is ±2.086, since 2.02 < 2.086, then the t statistic is not statistically significant.