An elevator has a placard stating that the maximum capacity is 1980 lb—12 passengers.​ So, 12 adult male passengers can have a mean weight of up to 1980/12=165 pounds. If the elevator is loaded with 12 adult male​ passengers, find the probability that it is overloaded because they have a mean weight greater than 165 lb.​ (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 35 lb​.) Does this elevator appear to be​ safe?

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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.