In testing the difference between two population means using two independent random 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

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The critical value for a two-tailed test at a 5% significance level is approximately ±1.96. Since the test statistic of 2.75 is greater than 1.96, the null hypothesis should be rejected.

In Testing the Difference Between Two Population Means Using Two