Malcheon Health Clinic claims that the average waiting time for a patient is 20 minutes or less.

Question:

Malcheon Health Clinic claims that the average waiting time for a patient is 20 minutes or less. A random sample of 15 patients shows a mean wait time of 24.77 minutes with a standard deviation of 7.26 minutes.
(a) Write the hypotheses for a right-tailed test, using the clinic's claim as the null hypothesis.
(b) Calculate the t test statistic to test the claim.
(c) At the 5 percent level of significance (α = .05), does the sample contradict the clinic's claim? 

(d) Use Excel to find the p-value and compare it to the level of significance. Did you come to the same conclusion as you did in part (c)?

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