ski gondola in Vail, Colorado, carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 12 people or 2004 That capacity will be exceeded if 12 people have weights with a mean greater than 2004/12 = 167 ib . Because men tend to weigh more than women, a worst case scenario involves 12 passengers who are all men. Assume that weights of men are normally distributed with a mean of 182.9 and a standard deviation of 40.8 lb. What is the probability that 12 randomly selected men will have a mean weight that is greater than 167 (so that their total weight is greater than the gondola maximum capacity of 2004 lb) ?

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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.