Suppose that a one-tailed t-test is being applied to find out if the population mean is less than 100. The level of significance is 0.05 and 25 observations were sampled. Which of the following best describes the rejection region? A) t 1.708 B) t 1.318 D) t

Question

Suppose that a one-tailed t-test is being applied to find out if the population mean is less than 100. The level of significance is 0.05 and 25 observations were sampled. Which of the following best describes the rejection region? A) t > 1.708 B) t < -1.711 C) t > 1.318 D) t < -1.316

Quizplus · Accepted Answer

Since the test is one-tailed with the alternative hypothesis being that the population mean is less than 100, we need to look for the critical t-value in the left tail of the t-distribution. With a level of significance of 0.05 and 25 degrees of freedom, the critical t-value is -1.711. Therefore, any calculated t-value less than -1.711 will fall into the rejection region, which corresponds to rejecting the null hypothesis and concluding that the population mean is significantly less than 100.

Suppose That a One-Tailed T-Test Is Being Applied to Find