Grand Strand Family Medical Center is specifically set up totreat minor medical emergencies for visitors to the Myrtle Beacharea. There are two facilities, one in the Little River Area andthe other in Murrells Inlet. The quality assurance Departmentwishes to compare the mean waiting times for patients at the twolocations. Assume the population standard deviations are not thesame. At the 0.05 significance level, is there a difference in themean waiting time? Samples of the waiting times, reported inminutes, follows: Use the information above to solve the followingquestions:
A. What is the null hypothesis statement for this problem?
B. What is the alternative hypothesis statement for thisproblem?
C. What is alpha for this analysis?
D. What is the most appropriate test for this problem? (chooseone of the following)
a. t-Test: Paired Two Sample for Means
b. t-Test: Two-Sampled Assuming Equal Variances
c. t-Test: Two-Sample Assuming Unequal Variances
d. z-Test: Two Sample for Means
E. What is the value of the test statistic for the mostappropriate analysis?
F. What is the lower bound value of the critical statistic? Ifone does not exist (i.e. is not applicable for this type analysis),document N/A as your response.
G. What is the upper bound value of the critical statistic? Ifone does not exist (i.e. is not applicable for this type analysis),document N/A as your response.
H. It is reasonable to conclude that the mean waiting times aredifferent? (choose one of the following)
a. Yes
b. No
I. What is the p-value for this analysis? (Hint: Use this valueto double check your conclusion)
Little River | Murrells Inlet |
22.93 | 31.73 |
23.92 | 28.77 |
26.92 | 29.53 |
27.2 | 22.08 |
26.44 | 29.47 |
25.62 | 18.6 |
30.61 | 32.94 |
29.44 | 25.18 |
23.09 | 29.82 |
23.1 | 26.49 |
26.69 | |
22.31 | |
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