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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?

User DrHopfen
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18 oz is the weight of a box of candies.
User Simon Martinelli
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2 votes

Answer:

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.

User Trx
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