Question

A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distribution that corresponds to the following z-score:

z = 3

Answer 1

do you have your z-score table handy?

Answer 2

yes

Answer 3

1 ssec..

Answer 4

ok!

Answer 5

when the question asks, "Find the data item in this distribution" is asking you to find what 'data value is of interest'
or, from the equation below, it's asking you what is x
\[z=\frac{ x-\mu }{ \sigma} \]
you know z, mu and sigma, so we can solve for x! (I was wrong, we don't need the z-table for this problem)

Answer 6

oh okay so then how do you switch it around to solve for x?