SOLUTION: Questions 15 through 19 build on each other: A local hospital claims its ED mean wait time is less than 45 minutes. A random selection of the wait times of 40 patients is captured

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Question 1105212: Questions 15 through 19 build on each other: A local hospital claims its ED mean wait time is less than 45 minutes. A random selection of the wait times of 40 patients is captured and the sample mean wait time is 44 minutes with a sample standard deviation of 3.2 minutes. Assume they are approximately normally distributed. Is there enough evidence to support the claim at α= 0.01? Use a P-value. Find the value of z using the
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Have to assume assumptions are met, and this is a t, since the std dev is of the sample and not of the population.
t=(44-45)/3.2/sqrt(40)
t=-1*sqrt(40)/3.2
t=-1.97
The critical value is |t|>2.67
Fail to reject the hypothesis. The claim is not supported. p-value is 0.055.