6. You want to test whether a new surgical procedure produces faster recovery ti

Question

6. You want to test whether a new surgical procedure produces faster recovery times than the current procedure, which has an average recovery time of 14 days until the patient feels well enough to return to work. Performing the new on 36 randomly selected patients, you find the sample average recovery time is 12 days, with a sample standard deviation of S. a) Conduct the relevant hypothesis test using the normal distribution and report the p-value. b) Conduct the relevant hypothesis test using the t-distribution and report the p-value.

Explanation / Answer

Ans:

a)Using Normal distribution:

z=(12-14)/(8/sqrt(36))

z=-1.5

P(z<-1.5)=0.0668

b)Using t-test:

t=(12-14)/(8/sqrt(36))

t=-1.5

df=36-1=35

p-value=tdist(1.5,35,1)=0.0713

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