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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?

Respuesta :

18 oz is the weight of a box of candies.

Answer:

The weight of the box is 18 oz.

Step-by-step explanation:

In normal distribution,

z score of x is,

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where,

[tex]\mu[/tex] is mean and [tex]\sigma[/tex] is the standard deviation,

Here, [tex]\mu=16[/tex],  [tex]\sigma=1[/tex] and [tex]z=2[/tex]

By substituting the values,

[tex]2=\frac{x-16}{1}[/tex]

[tex]\implies 2 = x - 16\implies x = 18[/tex]

Hence, the weight of the box is 18 oz.