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mr_godi [17]
3 years ago
9

The weights of boxes of candies produced in a factory are normally distributed with a mean weight of 16 oz and a standard deviat

ion 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
Mathematics
2 answers:
vichka [17]3 years ago
8 0

Answer:

The weight of a box of candies is 18 oz

Option 2 is correct.

Step-by-step 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=\dfrac{x-m}{\sigma}

Mean: m = 16 oz

z-score: z = 2

Standard Deviation: \sigma = 1 oz

Substitute the value into formula.

2=\dfrac{x-16}{1}

2=x-16

x=18

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

JulijaS [17]3 years ago
3 0
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.
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