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 10% of the products to weigh more than 4.8 ounces?
A)3.52
B)3.64
C)5.44
D)4.16

Question

Quizplus · Accepted Answer

To ensure that no more than 10% of the products weigh more than 4.8 ounces, we need to find the average weight such that 4.8 is at the 90th percentile of the normal distribution. Using the z-score for the 90th percentile (approximately 1.28) and the given standard deviation of 0.5, we can calculate the mean: Mean = 4.8 - (1.28 * 0.5) = 4.16.

The Weight of a Product Is Normally Distributed with a Standard