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 for Health Statistics found that the BMI of American young men (ages 20 to 29) is approximately normal with mean 26.8 and standard deviation 5.2. People with BMI less than 18.5 are often classed as "underweight." What percent of young women are underweight by this criterion? Sketch and shade the area of interest under a Normal curve.

Answer 1

Answer:

5.5227%

Step-by-step explanation:

Z score formula = (x-μ)/σ

where x is the raw score = < 18.5

μ is the population mean = 26.8

σ is the population standard deviation = 5.2

For x < 18.5

z = 18.5 - 26.8/5.2

z = -1.59615

Probability value from Z-Table:

P(x<18.5) = 0.055227

Converting to percentage

= 0.055227 × 100

= 5.5227%

Therefore, the percentage of young women that are underweight by this criterion is 5.5227%