A study of commuting times reports the travel times to work of a random sample of 50 employed adults in New Your State. The mean of this sample is 31.25 minutes. In various other studies, the commuting times of travel to work have a mean of 35.3 minutes and standard deviation is 14 minutes.
a) Find muse of x bar
b) Find .sigma of x bar
c) Describe the sampling distribution of x bar . Justify your answer.
d) P(X > 31.25) =
e) P( > 31.25) =
f) Why are the values so different in d) and e) ?
g) What can one conclude from the probability of the sample mean of 31.25 with n = 50?