Osteoporosis is a condition in which the bones become brittle due to loss of min

Question

Osteoporosis is a condition in which the bones become brittle due to loss of minerals. To diagnose osteoporosis, an elaborate apparatus measures bone mineral density (BMD). 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.) %

(b) Women age 80 to 89 are of course not young adults. The mean BMD in this age is about 2.3 on the standard scale for young adults. Suppose that the standard deviation is the same as for young adults. What percent of this older population has osteoporosis? (Round your answer to two decimal places.)

Explanation / Answer

a)from normal value table  percent of healthy young adults have osteoporosis by the WHO criterion =P(Z<-2.5) =

0.62%

b)here as they have mean BMD =-2.3

therefore percent of this older population has osteoporosis =P(X<-2.5) =P(Z<(-2.5-(-2.3))/1) =P(Z<-0.2)=42.07%

please revert for any clarification required

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.