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An administrator in a hospital emergency room (ER) suspects that the average amo

ID: 3383214 • Letter: A

Question

An administrator in a hospital emergency room (ER) suspects that the average amount of time patients have to wait to see a doctor has increased from the previous year. Last year, the average wait time was 126 minutes, with a corresponding standard deviation of 37 minutes. The administrator plans to take a random sample of 30 patients and conduct a hypothesis test to see if there is significant evidence that this year's average wait time is longer than last year's, using =0.05. Suppose that the population mean wait time this year has indeed increased, to a = 136 minutes. For this problem, you will compute the power associated with this test. (Round your answers to two decimal places.) First, find the critical value under the null hypothesis. t-crit- 1.699 Next, find the value of the sample mean that is associated with this critical value.

Explanation / Answer

1.699 = x - 126 / [37/srqt(30)]

x = 137.477

t = 137.477 - 136 / [37/srqt(30)] = 0.2186

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