In: Statistics and Probability
Suppose that an airline uses a seat width of 16.9 in. Assume men have hip breadths that are normally distributed with a mean of 14.9 in. and a standard deviation of 1.1 in. Complete parts (a) through (c) below.
(a) Find the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.9 in.
The probability is______?
(Round to four decimal places as needed.)
(b) If a plane is filled with 127 randomly selected men, find the probability that these men have a mean hip breadth greater than 16.9 in.
The probability is_____?
(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)?
The result from (PART A/ PART B) should be considered because, (THE SEATS ARE OCCUPIED BY INDIVIDUALS RATHER THAN MEANS/ or/ ONLY THE AVERAGE INDIVIDUALS SHOULD BE CONSIDERED.)