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Edit View History Bookmarks Window Help 6:52 PM y mathxLcom 17Fmath1303e01cn10695 Kendra Lang 10/18/17 6:51 Homework: 6.3 and 6.4 Sampling Distributions and Estimators Score: 0 of 1 pt 6.4.13-T The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500 ib. Complete parts (a) through (d) below 6 of 10 (7 complete) Score: 55%, 5.5 of 10 A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 182 lb and a standard deviation of 38 Ib a. Given that the gondola is rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the gondola is flled to the stated capacity of 25 passengers? The maximum mean weight is 140 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 Round to four decimal places as needed.) Clear All

Explanation / Answer

a. Maximum mean weight of the passengers = 3500 / 25 = 140.

b. = 182 = 38

X = 140

Z = (X - ) /

= (140 - 182) / 38

= -1.1053.

Probability from table (right tailed) = 0.8655.

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