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The most common test for osteoporosis (low bone density) is a bone density scan by a DEXA test (dual- energy X-ray absorptiometry). The bone density of a population is normally distributed. A woman has the test and finds that she has a bone density of 932 grams per square centimeter, which puts her at a density where approximately 12% of the population has bone density less than hers. In the population of women her age, the mean bone density is 956 grams per square centimeter. What is the standard deviation for the bone density? 22.

The most common test for osteoporosis (low bone density) is a bone density scan by a DEXA test (dual- energy X-ray absorptiometry). The bone density of a population is normally distributed. A woman has the test and finds that she has a bone density of 932 grams per square centimeter, which puts her at a density where approximately 12% of the population has bone density less than hers. In the population of women her age, the mean bone density is 956 grams per square centimeter. What is the standard deviation for the bone density? 22.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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The most common test for osteoporosis (low bone density) is a bone density scan by a DEXA test (dual- energy X-ray absorptiometry). The bone density of a population is normally distributed. A woman has the test and finds that she has a bone density of 932 grams per square centimeter, which puts her at a density where approximately 12% of the population has bone density less than hers. In the population of women her age, the mean bone density is 956 grams per square centimeter. What is the standard deviation for the bone density? 22.
Transcribed Image Text:The most common test for osteoporosis (low bone density) is a bone density scan by a DEXA test (dual- energy X-ray absorptiometry). The bone density of a population is normally distributed. A woman has the test and finds that she has a bone density of 932 grams per square centimeter, which puts her at a density where approximately 12% of the population has bone density less than hers. In the population of women her age, the mean bone density is 956 grams per square centimeter. What is the standard deviation for the bone density? 22.
Expert Solution
Step 1

Let, X= Bone density 

Given that X is normally distributed with mean = 956 

We have to find the standard deviation. 

Let us assume that,

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