Your body mass index (BMI) is your weight in kilograms divided by the square of

Question

Your body mass index (BMI) is your weight in kilograms divided by the square of your height in meters. Many online BMI calculators allow you to enter weight in pounds and height in inches. High BMI is a common but controversial indicator of overweight or obesity. A study found that the BMI of a group of young men (ages 20 to 29) is approximately Normal with mean 27.3 and standard deviation 5.8. (Round your answers to two decimal places.) (a) People with BMI less than 18.5 are often classified as "underweight." What percent of men aged 20 to 29 are underweight by this criterion? % (b) People with BMI over 30 are often classified as "obese." What percent of men aged 20 to 29 are obese by this criterion? % You may need to use the appropriate Appendix Table to answer this question.

Explanation / Answer

SolA:

P(X<18.5)

z=18.5-27.3/5.8

z=-1.52

P ( Z<1.52 )=1P ( Z<1.52 )=10.9357=0.0643

=0.0643*100

=6.43%

ANSWER 6.43%

SolutionB:

P(X>30)

=30-27.3/5.8

=z=0.47

P ( Z>0.47 )=1P ( Z<0.47 )=10.6808=0.3192

0.3192*100=31.92%

ANSWER 31.92%

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