Weights of players in offensive back positions (including quarterback) in the Canadian Football League are approximately normally
Question:
Weights of players in offensive back positions (including quarterback) in the Canadian Football League are approximately normally distributed, with a mean of 197.5 lb and a standard deviation of 14.2 lb (based on data from the CFL website). An elevator at the hotel that is hosting an awards dinner for all CFL offensive backs (there are 90 such players) posts a limit of 32 occupants, but it will be overloaded if the 32 occupants have a combined weight of 6450 lb or over. If a random selection of 32 of the offensive backs happen to get on the elevator at one time, find the probability that their combined weight will exceed 6450 lb, causing the elevator to be overloaded. Based on the value obtained, is there reason for concern?
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Because the sample size 32 constitutes greater than 5 of the population size 90 we w...View the full answer
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