The waiting time for patients at a local walk-in health clinc follows a normal distrobution with a mean of 15 mintues and a population standard deviation of 5 minutes. The quality-assurance department sampled 50 patients and found that the mean waiting time was 14.25 minutes. At the 0.025 significance level, decide if the sample data support the claim that the mean waiting time is less than 15 minutes. State you decision in terms of the null hypothesis.
what is the null hypothesis and alternate hypothesis?
what is the alpha?
What test are you going to use and why?
What is the critical value? one tail or two tail?
Calculate the test statistics and reach decision.
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