Question

Suppose that an airline uses a seat width of 16.4 in. Assume men have hip breadths that are normally distributed with a mean of 14.5 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 16.4 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 16.4 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 _______   should be considered because _______ .

Answer 1

Define the standard random variable Z as

where X denotes hip breadth

a) Using normal table we have

b) Using central limiting theorem we define the standard random variable Z as

Using normal table we get

c) Mention what is down