SOLUTION: The capacity of an elevator is 12 people or 1980 pounds capacity will be exceeded if 12 people have weights with a mean greater than 1980�12 = 165 pounds supposed to people have

Question 1077710: The capacity of an elevator is 12 people or 1980 pounds capacity will be exceeded if 12 people have weights with a mean greater than 1980�12 = 165 pounds supposed to people have weights that are normally distributed with a mean of 170 pounds and a standard deviation of 28 lb
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
What is the probability that with a population of 170 pounds and sd of 28 that the average weight will exceed 165 pounds? We know that the sampling distribution of weights for a sample of 12 is mean 170, and sd 28/sqrt(12) or 8.083
z>(165-170)/28/sqrt(12)
z>-5/8.083
probability would be 0.7319.
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