Grand Strand Family Medical Center treats 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 for each location, reported in minutes, follow:

Location Waiting Time

Little River 31 28 29 22 29 18 32 25 29 26

Murrells Inlet 22 23 26 27 26 25 30 29 23 23 27 22

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

Little River Murrells Inlet \begin{tabular}{|r|r|} \hline 31.73 & 22.93 \\ \hline 28.77 & 23.92 \\ \hline 29.53 & 26.92 \\ \hline 22.08 & 27.2 \\ \hline 29.47 & 26.44 \\ \hline 18.6 & 25.62 \\ \hline 32.94 & 30.61 \\ \hline 25.18 & 29.44 \\ \hline 29.82 & 23.09 \\ \hline 26.49 & 23.1 \\ \hline & 26.69 \\ \hline & 22.31 \\ \hline \end{tabular}