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

The weight of the box is 18 oz.

Explanation:

In normal distribution,

z score of x is,

`z=(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=(x-16)/(1)`

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

Hence, the weight of the box is 18 oz.