Question

The one sample t-test from a sample of n = 19 observations for the two-sided (two-tailed) test of

H0: μ = 6

H1: μ ≠ 6

Has a t test statistic value = 1.93. You may assume that the original population from which the sample was taken is symmetric and fairly Normal.

Computer output for a t test:

One-Sample T: Test of mu = 6 vs not = 6

N    Mean    StDev    SE Mean    95% CI            T       P

19 6.200      0.451      0.103       (5.983, 6.417)    1.93    0.069

Based on this information... Also, can you please explain?

a. We would fail to reject the null hypothesis at α = 0.05.

b. We would reject the null hypothesis at α = 0.01.

c. We would fail to reject the null hypothesis at α = 0.1.

Answer 1