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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, 95% 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 :

Final answer:

95% of the population will have a height within the range of 59 inches to 71 inches.

Explanation:

To find the range within which 95% of the population will have a height, we need to determine the values that fall within the range of two standard deviations from the mean.

The mean height is 65 inches and the standard deviation is 3 inches.

So, adding and subtracting two standard deviations from the mean gives us a range of 59 inches to 71 inches.

Therefore, option A. 59 inches to 71 inches is the correct answer.

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