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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?

16 oz

18 oz

20 oz

22 oz

User Elbik
by
8.3k points

2 Answers

5 votes

Answer:

The weight of a box of candies is 18 oz

Option 2 is correct.

Explanation:

Given: 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.

Formula:
z=(x-m)/(\sigma)

Mean: m = 16 oz

z-score: z = 2

Standard Deviation:
\sigma = 1 oz

Substitute the value into formula.


2=(x-16)/(1)


2=x-16


x=18

Hence, The weight of a box of candies is 18 oz

User Mhenry
by
7.6k points
1 vote
Let the required weight be X, then
z = (X - mean)/standard deviation
2 = (X - 16)/1
X - 16 = 2
X = 2 + 16
X = 18 oz.
User Mamie
by
7.5k points

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