Question

A set of data items is normally distributed with a mean of 600 and a standard deviation of 20. Find the data item in this distribution that corresponds to the following z-score: z = 1.5

Answer 1

\[z=\frac{X-\mu}{\sigma}\]
\[1.5=\frac{X-600}{20}\]
Now you can solve to find the data item X.

Answer 2

I am still confused I do not know how to solve that equation, wil you please explain?

Answer 3

Multiplying both sides by 20 gives:
30 = X - 600
X = 600 + 30 = 630

Answer 4

thank you

Answer 5

You're welcome :)