Question Help * Suppose that an airline uses a seat width of 16.8 in. Assume men

Question

Question Help * Suppose that an airline uses a seat width of 16.8 in. Assume men have hip breadths that are normaly distributed with a mean of 14.5 in. and a standard deviation of 1.1 in. Complete parts (a) through (c) below nm(a) Find the probability that if an individual man is randomly solected, his hip broadth will be greater than 16.8 in. P1 The probablity is (Round to four decimal places as needed.) (b) If a plane is filled with 123 randomly selected men, find the probability that these men have a mean hip breadth greater than 16.8 in. The probability is t (Round to four decimal places as needed.) pter (e) Which rosult should be considered for any changes in seat design: the resut from part (e) or part (b)7 s for The result from I should be considered because points chas Enter your answer in each of the answer boxes urse

Explanation / Answer

mean = 14.5
std. dev. = 1.1

a)
P(X > 16.8)
= P(z > (16.8 - 14.5)/1.1)
= P(z > 2.091)
= 0.0183 (using standard z-table)

b)
P(X > 16.8)
= P(z > (16.8 - 14.5)/(1.1/sqrt(123)))
= P(z > 23.189)
= 0.0000 (using standard z-table)

c)
The result from part (a) should be considered.

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