SOLUTION: 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. Fi

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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.
Answer by stanbon(75887) About Me  (Show Source):
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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.
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t(175) = (175-172)/[29/sqrt(213)] = 1.5098
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P(xbar > 213) = P(t > 1.5098 when df = 212) = 0.0663
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Cheers,
Stan H.