An elevator has a placard stating that the maximum capacity is 1264 lb—8 passengers.​ So, 8 adult male passengers can have a mean weight of up to 1264/8=158 pounds. If the elevator is loaded with 8 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 158 lb.​ (Assume that weights of males are normally distributed with a mean of 162 lb and a standard deviation of 27 lb​.) Does this elevator appear to be​ safe?exceed​ 30?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.