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.
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