Question 326570
Airlines have to estimate the weights of passengers. Assume that men have weights that are normally distributed with a mean of 172 pounds and a standard devation of 29 pounds. Find the probability that among 213 male passengers, the mean weight is greater than 175 pounds.
Give your answer to four decimal places.
----------------------
t(175) = (175-172)/[29/sqrt(213)] = 1.5098

----------
P(xbar > 213) = P(t > 1.5098 when df = 212) = 0.0663

=========
Cheers,
Stan H.