Grand Strand Family Medical Center treats minor medical emergencies for visitors

Question

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 for 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? The degrees of freedom is ________ (Round down your answer to the nearest whole number.) Reject H_0 if t (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) The test statistic is __________ (Round your answer to z decimal places.) Decision H_0 mu_1 - mu_2

Explanation / Answer

Sol:

H0: mean(liitle river)=mean(murrella inlet)

H1:mean(little river) not equal to mean(murrella inlet)

alpha=0.05

Perform t test for diff in means

degrees of freedom=14

t value=1.11

-2.145<t or t>2.145

decision:Fail to reject H0

t-Test: Two-Sample Assuming Unequal Variances little river murrella inlet Mean 27.461 25.68917 Variance 19.71748 7.206572 Observations 10 12 Hypothesized Mean Difference 0 df 14 t Stat 1.104746 P(T<=t) one-tail 0.143948 t Critical one-tail 1.76131 P(T<=t) two-tail 0.287895 t Critical two-tail 2.144787

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