Question

in a sample of n = 25 selected from a normal population, X = 51 and S = 5. you are testing the hypothesis Ho: u = 50, using the level of significance a = 0.01

a. what are the critical values from the t table if the alternitive hypothesis, H1, is u =/= 50

b. what are the critical values from the t table if the alterntivie hypothesis, H1, is u > 50

Answer 1

a) H1 =/= 50 means that it is two tail test.

The t-critical values for a two-tailed test, for a significance of a=0.01 will be t_{a/2 , n-1} = t_{0.005, 24} = 2.797

t_c = -2.792 and t_c = 2.792

b) H1 > 50 means that it is one tailed test

Critical value in that case will be t_{a, n-1} = t_{0.01, 24} = 2.492