(a)
To calculate: The percent of healthy young adults which have osteoporosis by the WHO criterion.
(a)
Answer to Problem 25E
The percent of healthy young adults which have osteoporosis by the WHO criterion is 0.62%.
Explanation of Solution
Given information:
BMD score that is standard deviation
Calculation:
Here, the population distribution is roughly normal.
The given standard deviation that is, 2.5 below the mean is equivalent to the z-score which is denoted as
So,
Find the required probability by using the normal probability table.
Hence, 0.62% of healthy young adults have osteoporosis by the WHO criterion.
(b)
To calculate: The percent of older population which has osteoporosis.
(b)
Answer to Problem 25E
The percent of older population which has osteoporosis is 30.85%.
Explanation of Solution
Given information:
BMD mean
Formula used:
The z-score of distribution of sample x whose mean is
Calculation:
The given population is a
To find the required percent, determine the z-score of the distribution.
The z-score can be found by using the formula
Substitute
The required probability is,
Hence, the percent of older population which has osteoporosis is 30.85%.
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