The administrator at a local hospital states that on weekends the average wait t

Question

The administrator at a local hospital states that on weekends the average wait time for emergency room visits is 10 minutes with an unknown population standard deviation. Based on discussions you have had with friends who have complained on how long they waited to be seen in the ER over a weekend, you dispute the administrator's claim. You decide to test your hypothesis. Let m be the average wait time for patients at the emergency room. Your null and alternative hypotheses are: H0:? ? 10 HA:? > 10 Over the course of a few weekends you record the wait time for 40 randomly selected patients. If you have set the significance level to 0.05, what is the rejection region for your test of these hypotheses?

Explanation / Answer

The test is a right tailed test with 0.05 level of significance and (40 - 1) i.e. 39 degrees of freedom. Hence,

Critical t value = 1.685

So rejection region will be t > 1.685

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