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
2 answers:
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: 
Mean: m = 16 oz
z-score: z = 2
Standard Deviation: 
Substitute the value into formula.



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