What are the bone density scores?

Question

Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 7​%

and highest 7​%, indicating levels that are too low or too​ high, respectively.

I have found the graph just need to find the bone density scores.

Answer 1

Lowest 7%:

Excel formula:

=normsinv(0.07,0,1)

=-1.48

Highest 7%:

=1-0.07 = 0.93

=normsinv(0.93, 0, 1)

=1.48

What are the bone density scores?

(-1.48, 1.48)