# Question: The percentage of fat in the bodies of American men

The percentage of fat in the bodies of American men is an approximately normal random variable with mean equal to 15% and standard deviation equal to 2%.

a. If these values were used to describe the body fat of men in the U.S. Army, and if a measure of 20% or more body fat characterizes the person as obese, what is the approximate probability that a random sample of 10,000 soldiers will contain fewer than 50 who would actually be characterized as obese?

b. If the army actually were to check the percentage of body fat for a random sample of 10,000 men, and if only 30 contained 20% (or higher) body fat, would you conclude that the army was successful in reducing the percentage of obese men below the percentage in the general population? Explain your reasoning.

a. If these values were used to describe the body fat of men in the U.S. Army, and if a measure of 20% or more body fat characterizes the person as obese, what is the approximate probability that a random sample of 10,000 soldiers will contain fewer than 50 who would actually be characterized as obese?

b. If the army actually were to check the percentage of body fat for a random sample of 10,000 men, and if only 30 contained 20% (or higher) body fat, would you conclude that the army was successful in reducing the percentage of obese men below the percentage in the general population? Explain your reasoning.

## Relevant Questions

According to Health Affairs Oct. 28, 2004, the median time a patient waits to see a doctor in a typical U.S. emergency room is 30 minutes. On a day when 150 patients visit the emergency room, what is the approximate ...The optimal scheduling of preventative maintenance tests of some (but not all) of n independently operating components was developed in Reliability Engineering and System Safety (Jan. 2006). The time (in hours) between ...The random variable x has a normal distribution with μ = 40 and σ2 = 36. Find a value of x, say, x0, such that a. P(x ≥ x0) = .5 b. P(x ≤ x0) = .9911 c. P(x ≤ x0) = .0028 d. P(x ≥ x0) = .0228 e. P(x ≤ x0) = ...Refer to the Teaching Psychology (May 1998) study of how external clues influence performance, presented in Exercise. Recall that two different forms of a midterm psychology examination were given, one printed on blue paper ...The number of serious accidents in a manufacturing plant has (approximately) a Poisson probability distribution with a mean of two serious accidents per month. It can be shown that if x, the number of events per unit time, ...Post your question