A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population mean and standard deviation of 90 lb and 24 lb, respectively, then based on a sample size of 36 boxes, what is the probability that the average weight of the boxes will exceed 94 lb?
A) 34.13%
B) 84.13%
C) 15.87%
D) 56.36%
E) 16.87%

Question

Quizplus · Accepted Answer

P(x > 94) = P[z > (94 − 90)/(24/√36)] = P(z > 4/4) = P(z > 1) = 1 − .8413 = .1587

A Manufacturing Company Measures the Weight of Boxes Before Shipping