Question

Winnipeg Tribune claims that the time of travel from downtown to the University via the Pembina bus has an average of µ = 27 minutes. A student who normally takes this bus believes that µ is greater than 27 minutes. A sample of six ride-times taken to test the hypothesis of interest gave X = 27.5 minutes and a standard deviation s = 2.43 minutes, and the observations looked to have come from a symmetric distribution. The appropriate critical region and conclusion when testing at α= 0.05 are:
a. T* > 2.015; and we fail to reject H0.
b. T* > 2.571; and we fail to reject H0.
c. T* < 2.015; and we fail to reject H0.
d. T* < 2.571; and we fail to reject H0.
e. T* < 1.943; and we fail to reject H0.