Question

r. 1/2 points l Prevous Answers MintroStat9 1.Е. 136. Osteoporosis is a condition in which the bones become brittie due to loss of minerals. To diagnose osteoporosis, an elaborate BMD is usually reported in standardized form. The standardization is based on a population of healthy young adults. The World Health Organization (WHO) criterion for osteoporosis is a BMD 2.5 standard deviations below the mean for young adults. BMD measurements in a population of people similar in age and sex roughly follow a Normal distribution. (a) What percent of healthy young adults have osteoporosis by the WHO criterion? (Round your answer to two decimal places.) 0.62 (b) Men age 70 to 79 are of course not young adults. The mean BMD in this age is about -I on the standard scale for young adults. Suppose that the standard deviation is the same as for young aduits. What percent of this older population has osteoporosis? (Round your answer to two decimal places.) 31

Answer 1

Ans:

a)

P(z<-2.5)=0.0062 or 0.62%

b)

Now,

z=-1.5

P(z<-1.5)=0.0668 or 6.68%

So, 6.68% of this older population has osteoporosis.