Question

If the heights of a population of men follow a Normal 0 6 12 1" 3" 4" distribution, and 99.7% have heights between 50" and 7'0", what is your estimate of the standard devia- tion of the heights in this population?

Answer 1

The estimate of the standard deviation of the heights is 28 inches.

Step-by-step explanation:

To estimate the standard deviation of the heights in this population, we can use the fact that 99.7% of the heights fall between 50 inches and 7 feet (which is 84 inches). We know that this range represents three standard deviations, so we can set up the equation: 3 standard deviations = 84 inches. To find the standard deviation, we divide 84 inches by 3, which equals 28 inches. Therefore, our estimate of the standard deviation of the heights in this population is 28 inches.