Question

Suppose that an airline uses a seat width of 16.5 in. Assume men have hip breadths that are normally distributed with a mean of 14.1 in and a standard deviation of 1 in. Complete parts (a) through (c) below. (b) If a plane is filled with 112 randomly selected men, find the probability that these men have a mean hip breadth greater than 16.5 in. The probability is a (Round to four decimal places as needed.) (c) Which result should be considered for any changes in seat design: the result from part (a) or part (b)? should be considered because The result from Enter your answ Banswer boxes. part (a) part (b)

Answer 1

The solution to this problem is given by

on= 1:5 =linch Solution Let r.v. 'X' denote the sample mean of na 112 Samples XuNlYŽ 109 ) M = M = 14.1 ㅗ 112 Tu 0.094 49 ch) P ( Men have a mean teul breadth greater than 16.5 in) =plň > 16:5) P(x-ut > 16:5-14.) boquva) Oloquua PL z > 95.399) = 0 (C) The results from [beat a should be Considered because the seats are occupied by individuals rather than means. . ł