The average hight of a population is 555 inches with a stand

The average hight of a population is 55.5 inches with a standard deviation of 2.1 inches. Find the heights associated with the middle 99.7% of this population using the 68-95-99.7 Rule.

The middle 99.7% of the population lies between-------------- inches to inches---------------.

Solution

Using the empirical rule, 99.7% of the population is within 3 standard deviations above or below the mean.

Thus, it is between

u - 3*sigma = 55.5 - 3*2.1 = 49.2
u + 3*sigma = 55.5 + 3*2.1 = 61.8 [ANSWERS]