Question

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 times for patients at the two locations. Assume the population standard deviations are not the same. At the 0.05 significance level, is there a difference in the mean waiting time? Samples of the waiting times, reported in minutes, follows: Use the information above to solve the following questions:

A. What is the null hypothesis statement for this problem?

B. What is the alternative hypothesis statement for this problem?

C. What is alpha for this analysis?

D. What is the most appropriate test for this problem? (choose one 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 most appropriate analysis?

F. What is the lower bound value of the critical statistic? If one 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? If one 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 are different? (choose one of the following)

a. Yes

b. No

I. What is the p-value for this analysis? (Hint: Use this value to 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

Show all work clearly with the right formulas.

Answer 1

	Little River ( X )		Murrells Inlet ( Y )
	22.93	7.6132	31.73	18.2244
	23.92	3.1301	28.77	1.7135
	26.92	1.5149	29.53	4.2808
	27.2	2.2825	22.08	28.9552
	26.44	0.5637	29.47	4.0361
	25.62	0.0048	18.6	78.5173
	30.61	24.2143	32.94	30.0194
	29.44	14.0685	25.18	5.203
	23.09	6.7558	29.82	5.5649
	23.1	6.704	26.49	0.9428
	26.69	1.0016
	22.31	11.419
Total	308.27	79.2724	274.61	177.4574

Mean

Standard deviation

Mean

Standard deviation

To Test :-

H0 :-  

H1 :-  

C. What is alpha for this analysis?

level of significance

D. What is the most appropriate test for this problem?

t-Test: Two-Sample Assuming Unequal Variances

Test Statistic :-


t = -1.1047
Test Criteria :-
Reject null hypothesis if


DF = 14


Result :- Fail to Reject Null Hypothesis

F. What is the lower bound value of the critical statistic

Lower bound of critical value - 2.145

G. What is the upper bound value of the critical statistic?

Upper bound of critical value 2.145

P value = 2 * P ( t > -1.1047 ) = 0.2879

Conclusion :- Accept Null Hypothesis

There is no sufficient evidence to  support the claim that there a difference in the mean waiting time.