Question

Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 72 inches and the standard deviation is 3 inches, 68% of the population will have a height within which range? O A. 69 inches to 75 inches O B. 63 inches to 81 inches O c. 60 inches to 84 inches D. 66 inches to 78 inches

Answer 1

Remember the Empirical Rule, wich states that 99.7% of the measurements would be within 2 standard deviations of the mean

0. Multiply the standard deviation by 2: 3X2=6

,

1. Subtract 6 from the mean: 72-6=66

,

2. Add 6 to the mean: 72+6=78

Therefore, the answer is: 66in - 78in

(Option D)