2.24 = The Rock n Roll Coaster at Disney - MGM Studios in Orlando has two seats

Question

2.24 = The Rock n Roll Coaster at Disney - MGM Studios in Orlando has two seats in each row. Stephanie an Engineering student at FSC was hired to design the seats for the Roll Coaster. When designing that roller coaster, the total width of the two seats in each row had to be determined. In the worst-case seenario both seats are occupied by men. From a population with a normal distribution the following information was obtained. Men have hip breadths with a mean of 14.4 inches and a standard deviation of 1 inch. A) If two male rides are randomly selected find the probability that their mean hip width is greater than 16 inches? B) What is the Z score at the critical region?

Explanation / Answer

mean = 14.4
std.dev. = 1

P(X > 16)
= P(z > (16 - 14.4)/(1/sqrt(2)))
= P(z > 2.2627)
= 0.0118

Hence probability that two mens have average width of hip is greater than 16 is 0.0118

Here significance level is not given, assuming it 0.05, for right tailed test, critical value of z is 1.645

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