Question

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?

Answer 1

18 oz is the weight of a box of candies.

Answer 2

Answer:

The weight of the box is 18 oz.

Step-by-step explanation:

In normal distribution,

z score of x is,

$z=\frac{x-\mu}{\sigma}$

Where,

$\mu$ is mean and $\sigma$ is the standard deviation,

Here, $\mu=16$,  $\sigma=1$ and $z=2$

By substituting the values,

$2=\frac{x-16}{1}$

$\implies 2 = x - 16\implies x = 18$

Hence, the weight of the box is 18 oz.