An elevator has a placard stating that the maximum capacity is 2490 lb—15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2490/15=166 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 166 lb.​ (Assume that weights of males are normally distributed with a mean of 172 lb and a standard deviation of 26 lb​.) Does this elevator appear to be​ safe?   2 Part Question   Part 1   The probability the elevator is overloaded is (Blank). ​(Round to four decimal places as​ needed.)   Part 2   Does this elevator appear to be​ safe?   A. ​Yes, 15 randomly selected adult male passengers will always be under the weight limit.   B. ​No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity.   C. No, 15 randomly selected people will never be under the weight limit.   D. Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.

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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.