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    Independent sample t test

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    Grand Strand Family Medical Center is specifically set up to treat minor medical emergencies for visitors to the Myrtle Beach area. There 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 .05 significance level, is there a difference in the mean waiting time?

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    Solution Summary

    The solution provides step by step method for the calculation of t test statistic and P value . Formula for the calculation and Interpretations of the results are also included.