Interval for a normal distribution

[USN2ENG]

Homework Statement

A machine fills cereal boxes, normally distributed, with standard deviation of .1 oz. What amount setting should the machine be set to if only 1% of the boxes can have less than 16oz of cereal?

Homework Equations

The Attempt at a Solution

I am thinking that I just manipulate the confidence interval for a normal distribution. So x - 2.33(σ) = 16, with 2.33 being the z-score for 99%. My amount would then be 16.233. Am I way off? Thanks

 

[Ray Vickson]

Homework Statement

A machine fills cereal boxes, normally distributed, with standard deviation of .1 oz. What amount setting should the machine be set to if only 1% of the boxes can have less than 16oz of cereal?

Homework Equations

The Attempt at a Solution

I am thinking that I just manipulate the confidence interval for a normal distribution. So x - 2.33(σ) = 16, with 2.33 being the z-score for 99%. My amount would then be 16.233. Am I way off? Thanks

Your reasoning and your answer are correct.

 

[USN2ENG]

Thanks, Dr. Vickson