EC315

EC315 -...

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Grand Strand Family Medical Center is specifical y set up to treat minor medical emergencies for visitors to the Myrtle Beach area. There are two facilities, one in Lit le River Area and the other in Murrel s Inlet. The Quality Assurance Department wishes to compare the mean waiting time for patients at the two locations. Samples of the waiting times, reported in minutes, fol ow: Assume the population standard deviation are not the same. At the .05 significance level, is there a dif erence in mean waiting time? H0: There is no difference in the mean waiting times at the two facilities, that is, m1 = m2 or m1 - m2 = 0 Ha: The mean waiting times at the two facilities are different, that is, m1 ≠ m2 or m1 - m2 ≠ 0 Two-tailed t- test for difference in population means; a = 0.05; DOF = 10 + 12 -2 = 20; Critical t- score = 2.0860 Decision Rule: Reject H0 if the test t- score < -2.0860 or > 2.0860 Little River Murrel's Inlet 31.73 22.93 28.77 23.92 29.53 26.92 22.08 27.2 29.47 26.44 18.6 25.62 32.94 30.61 25.18 29.44 29.82 23.09 26.49 23.1 26.69 22.31 n = 10 12 x-bar = 27.46 25.69 s = 4.44 2.68 Pooled Standard Deviation, S = sqrt [{(n1 - 1) * s1^2 + (n2 - 1) * s2^2}/(n1 + n2 - 2)] = sqrt [{(10 - 1) * 4.44^2 + (12 - 1) * 2.68^2}/20] = 3.5807 Standard Error, SE = S * sqrt{(n1 + n2)/(n1 n2)} = 3.5807 * sqrt{(10 + 12)/(10 * 12)} = 1.5332 t = (x1-bar - x2-bar)/SE = (27.46 - 25.69)/1.5332 = 1.1545 Since 1.1545 < 2.0860, we fail to reject H0 Conclusion: There is no sufficient evidence that the mean waiting times at the two facilities are different
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This note was uploaded on 11/11/2011 for the course EC 315 taught by Professor Barcus during the Spring '10 term at Park.

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EC315 -...

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