Question

Suppose the heights of the members of a population follow a normal

distribution. If the mean height of the population is 65 inches and the
standard deviation is 3 inches, 68% of the population will have a height within
which range?
A. 59 inches to 71 inches
B. 53 inches to 77 inches
C. 62 inches to 68 inches
D. 56 inches to 74 inches

Answer 1

C; 62 to 68 inches

Explanation:

Here, we want to get the population range that is having a probability of 68%

From the empirical rule, a measure of 1 standard deviation above the mean, with 1 standard deviation below the mean will give a total percentage of 68%

From the question;

1 standard deviation above the mean is 65 + 3 = 68

1 standard deviation below the mean is 65-3 = 62

so the range of the height of the population is 62 to 68 inches