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Solved: Finding Bone Density Scores. In Exercises assume
Chapter 6, Problem 38BSC(choose chapter or problem)
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.
Find P5, the 5th percentile. This is the bone density score separating the bottom 5% from the top 95%.
Questions & Answers
QUESTION:
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.
Find P5, the 5th percentile. This is the bone density score separating the bottom 5% from the top 95%.
ANSWER:
Step 1 of 2
Given the 5th percentile.
The bone density score separating the bottom 5% from the top 95%.
So, 50% = 50/100 = 0.05
Then we have to find .
Look in the table A-2 for the value 0.05 (or the value closest) and the z-score in the column/row title is then the corresponding z-score.
z = -1.645
Therefore the 5th percentile is.
= -1.645
So it is left tailed.