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Hypothesis test for the difference between two means.

Grand Strand Family Medical Center is specifically set up to treat minor medical emergencies for visitors to the Myrtle Beach area. Ther are two facilities, one in the Little River Area and the other in Murrells Inlet. The Quality Assurance Department wishes to compare the mean waiting time for patients at the two locations. Samples of the waiting times, reported in minutes, follow:

Location	Waiting time
Little River	31.73	28.77	29.53	22.08	29.47	18.60	32.94	25.18	29.82	26.49
Murrells Inlet	22.93	23.92	26.92	27.20	26.44	25.62	30.61	29.44	23.09	23.10	26.69	22.31

Assume the population standard deviations are not the same. At the 0.05 significance level, is there a difference in the mean waiting time?

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