Grand Strand Family Medical Center treats minor medical emer

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 1or patients at the two locations. Samples of the waiting times for each location, reported in minutes, follow: Assume the population standard deviations are not the same. At the .05 significance level is there a difference in the mean waiting time?

Solution

In this problem we are given a table  

Ho: u(LR)-u(MI) = 0

H1: u(LR)-u(MI) is not equal to 0

we ran a 2-Sample Ttest and got the following:
test statistic: t=1.1047
p-value = 0.2876

Since the p-value is greater than 5%, fail to reject Ho.