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

Respuesta :

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.

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: [tex]z=\dfrac{x-m}{\sigma}[/tex]

Mean: m = 16 oz

z-score: z = 2

Standard Deviation: [tex]\sigma = 1 oz [/tex]

Substitute the value into formula.

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

[tex]2=x-16[/tex]

[tex]x=18[/tex]

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