The weight of a product is normally distributed with a standard deviation of .5 ounces.What should the average weight be if the production manager wants no more than 5% of the products to weigh more than 5.1 ounces?
A)4.278
B)4.409
C)3.455
D)5.922

Question

Quizplus · Accepted Answer

To ensure no more than 5% of products weigh more than 5.1 ounces, the average weight should be set such that 5.1 is at the 95th percentile of the normal distribution. Using the z-score for 95% (approximately 1.645) and the given standard deviation (0.5), the average weight can be calculated as: 5.1 - (1.645 * 0.5) = 4.278.

The Weight of a Product Is Normally Distributed with a Standard