The administrator at your local hospital states that on weekends the average wai

Question

The administrator at your local hospital states that on weekends the average wait time for emergency room visits is 10 minutes. Based on discussions you have had with friends who have complained on how long waited to be see in the ER over a weekend, you dispute the administrator's claim. You decide to test you hypothesis. Over the course of a few weekends you record the wait time for 50 randomly selected patients. The average wait time for these 50 patients is 11 minutes with a standard deviation of 2.5 minutes. Do you have enough evidence to support your hypothesis that the average ER wait time exceeds 10 minutes? Conduct the test at a 5% and 1% levels of significance.

Explanation / Answer

HERE null hypothesis: mean =10

alternate hypothesis: mean>10

std error of mean=std deviation/(n)1/2 =0.354

test stat t=(X-mean)/std error =(11-10)/0.354 =2.8284

p value for above test stat =0.0034

as p value is less then both 5% and 1% level of significance we reject null hypothesis and conclude that average ER wait time exceed 10minutes

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