Solutions Statistics

Below contains the waiting times in minutes for 15 randomly selected patients at a hospital main eme

Question: Below contains the waiting times in minutes for 15 randomly selected patients at a hospital main emergency room facility and at three satellite facilities.

Main	Satellite 1	Satellite 2	Satellite 3
120.08	30.75	75.86	54.05
81.90	61.83	37.88	38.82
78.79	26.40	68.73	36.85
63.83	53.84	51.08	32.83
79.77	72.30	50.21	52.94
47.94	53.09	58.47	34.13
79.88	27.67	86.29	69.37
48.63	52.46	62.90	78.52
55.43	10.64	44.84	55.95
64.06	53.50	64.17	49.61
64.99	37.28	50.68	66.40
53.82	34.31	47.97	76.06
62.43	66.00	60.57	11.37
65.07	8.99	58.37	83.51
81.02	29.75	30.40	39.17

a. At the .05 level of significance, is there evidence that the mean waiting time at the main facility is more than one hour?

Complete the following:
1. State H₀.	\[\mu \le 60\text{ minutes}\]
2. State H₁.	\[\mu >60\text{ minutes}\]
3. State the value of α.	0.05
4. State the value of the test statistic.	2.094
5. State the p-value.	0.0275
6. State the decision in terms of H₀ and why.	Reject Ho, because the p-value is less than 0.05
7. State the decision in terms of the problem.	We have enough evidence to support the claim that the mean waiting time at the main facility is more than one hour.

b. Suppose you use a .01 level of significance instead of a .05 level. Without doing the problem again, would the result be different from that in part (a)? Explain your answer.

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Solution: The solution consists of 3 pages
Deliverables: Word Document