Question

g The weight of a certain type of apple is normally distributed with a mean of 10.56 ounces and standard deviation of 0.9 ounces. What is the first quartile, Q subscript 1, of the weight of this type of apple?

Answer 1

First Quartile Q1 = 9.9525

Explanation:

For a standard normal distribution,

First quartile Q1 = μ - 0.675 σ

From the question mean μ = 10.56

Standard deviation σ = 0.9

Plugging these values into the first quartile equation, we have;

Q1 = 10.56 -0.675(0.9)

Q1 = 10.56 - 0.6075

Q1 = 9.9525