In testing the difference between two population means using two independent samples, the population standard deviations are assumed to be known and the calculated test statistic equals 1.05. If the test is upper-tail and the 10% level of significance has been specified, the conclusion should be to:
A) reject the null hypothesis.
B) not to reject the null hypothesis.
C) choose two other independent samples.
D) None of these choices are correct.

Question

Quizplus · Accepted Answer

To determine whether to reject the null hypothesis, the calculated test statistic should be compared to the critical value in the upper-tail region of the t-distribution at the specified significance level. Since the test statistic of 1.05 is not greater than the critical value at the 10% level of significance, we fail to reject the null hypothesis. Therefore, the conclusion should be not to reject the null hypothesis.

In Testing the Difference Between Two Population Means Using Two