In engineering and product design, it is important to consider the weights of pe

Question

In engineering and product design, it is important to consider the weights of people so that airplanes or elevators aren't overloaded. Based on data from the National Health Survey, we can assume the weight of adult males in the US has a mean weight of 197 pounds and standard deviation of 32 pounds. We randomly select 50 adult males. What is the probability that the average weight of these 50 adult males is over 200 pounds? Give your answer to 4 decimal places. For help on how to input a numeric answer, please see "Instructions for inputting a numeric response."

Explanation / Answer

here mean=       = 197.000 std deviation   == 32 sample size       =n= 50 std error=x=/n= 4.5255 probability = P(X>200) = P(Z>0.66)= 1-P(Z

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