The weight of a product is normally distributed with a standard deviation of .8 ounces. What should the average weight be if the production manager wants no more than 1% of the products to weigh more than 7.3 ounces?

Answer 1

If the mean is 5.45 oz, and the standard deviation is 0.8, 99% will weigh less than 7.3 oz.

That was obtained with a Java normal distribution web site by trial and error, varying the mean value.

You could also use a rule that the upper bound should be 2.3 sigma from the the mean for 99% inclusion.