Grand Strand Family Medical Center treats minor medical emergencies for visitors
ID: 3152594 • Letter: G
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?
Reject H0 if t < or t > . (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
Location Waiting Time Little River 31.73 28.77 29.53 22.08 29.47 18.60 32.94 25.18 29.82 26.49 Murrells Inlet 22.93 23.92 26.92 27.20 26.44 25.62 30.61 29.44 23.09 23.10 26.69 22.31Explanation / Answer
Set Up Hypothesis
Null Hypothesis , There Is No-Significance between them Ho: u1 = u2
Alternate Hypothesis, There Is Significance between them - H1: u1 != u2
Test Statistic
X(Mean)=27.46
Standard Deviation(s.d1)=4.44 ; Number(n1)=10
Y(Mean)=25.69
Standard Deviation(s.d2)=2.68; Number(n2)=12
we use Test Statistic (t) = (X-Y)/Sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =27.46-25.69/Sqrt((19.7136/10)+(7.1824/12))
to =1.104
| to | =1.104
Critical Value
The Value of |t | with Min (n1-1, n2-1) i.e 9 d.f is 2.262
We got |to| = 1.10412 & | t | = 2.262
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho
P-Value: Two Tailed ( double the one tail ) - Ha : ( P != 1.1041 ) = 0.298
Hence Value of P0.05 < 0.298,Here We Do not Reject Ho
[ANS]
The degrees of freedom is =Min (n1-1, n2-1) = 9
test statitic = 1.104
Do not Reject Ho
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