Question

WILL FAN & MEDAL. xoxox.

The weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviation of 1 oz. What is the weight of a box of candies with a z-score of 2?

A. 16 oz
B. 18 oz
C. 20 oz
D. 22 oz

Answer 1

The z-score formula is:
\(Z= \dfrac{X-\mu}{\sigma}\)

Where
\(Z\) = z-score
\(X\) = weight of a box
\(\mu\) = mean
\(\sigma\) = standard deviation

Essentially, the problem gives you \(Z\), \(\mu\) and \(\sigma\). Substitute those values in the z-score formula and you just need to find \(X\).