A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 194 lb and a standard deviation of 45 lb. The gondola has a stated capacity of 25 ​passengers, and the gondola is rated for a load limit of 3750 lb. Complete parts​ (a) through​ (d) below. a. Given that the gondola is rated for a load limit of 3750 ​lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 ​passengers?   The maximum mean weight is nothing lb. ​(Type an integer or a decimal. Do not​ round.) b. If the gondola is filled with 25 randomly selected​ skiers, what is the probability that their mean weight exceeds the value from part​ (a)?   The probability is nothing. ​(Round to four decimal places as​ needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected​ skiers, what is the probability that their mean weight exceeds 187.5 ​lb, which is the maximum mean weight that does not cause the total load to exceed 3750 ​lb?   The probability is nothing. ​(Round to four decimal places as​ needed.)

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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.