Finding Bone Density Scores. In Exercises assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the bone density test score corresponding to the given information.

If bone density scores in the bottom 2.5% and the top 2.5% are used as cutoff points for levels that are too low or too high, find the two readings that are cutoff values.

Answer

Step 1 of 1 :

Given

If bone density scores in the bottom 2.5% and the top 2.5% are used as cutoff points for levels that are too low or too high,

2.5% = 2.5/100 = 0.025

Then we have to find the two readings that are cut off values.

Look in the table A-2 for the value 0.025 (or the value closest) and the z-score in the column/row title is then the corresponding z-score.

z =

So...