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 2.75. If the test is two-tailed and 5% level of significance has been specified, the conclusion should be not to reject the null hypothesis.

Question

Quizplus · Accepted Answer

For a two-tailed test at 5% level of significance, the critical value is ±1.96. Since the calculated test statistic of 2.75 exceeds the critical value, we reject the null hypothesis. Therefore, the correct answer is B, not to reject the null hypothesis is not the correct conclusion.

In Testing the Difference Between Two Population Means Using Two