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?
Answer:
The weight of the box is 18 oz.
Step-by-step explanation:
In normal distribution,
z score of x is,
\(z=\frac{x-\mu}{\sigma}\)
Where,
\(\mu\) is mean and \(\sigma\) is the standard deviation,
Here, \(\mu=16\), \(\sigma=1\) and \(z=2\)
By substituting the values,
\(2=\frac{x-16}{1}\)
\(\implies 2 = x - 16\implies x = 18\)
Hence, the weight of the box is 18 oz.