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 by the National Center of Health Statics found that the BMI of American young women (ages 20 to 29) is approximately Normal with mean 26.8 and standard deviation 5.2. a) People with BMI less than 18.5 are often classed as "underweight" What percent of young women are under the weight by this criterion? b) People with BMI over 30 are often classed as "obese" What percent of young women are obese by this criterion?

Explanation / Answer

SOLUTION:

mean=26.8

sd=5.2

a) People with BMI less than 18.5 are often classed as "underweight" What percent of young women are under the weight by this criterion?

P(X<18.5)

z=X-mean/ssd

Z=18.5-26.8/5.2

=-1.6

P(Z<-1.6)

=1-P(Z<1.6)

=1-0.9452

=0.0548

=0.0548*100

=5.48%

ANSWER:5.48%

sOLUTIONB:

P(X>30)

Z=30-26.8/5.2

=0.62

P(Z>0.62)

=1-P(Z<0.62)

=1-0.7324

=0.2676

=0.2676*100

=26.76%

ANSWER:26.76%

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