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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, 99.7% 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 :

Answer:

D

Step-by-step explanation:

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Rewritten by : Barada

Answer:

D) 56 inches to 74 inches

Step-by-step explanation:

By the Empirical Rule, 99.7% of data in a normal distribution spread across ±3σ standard deviations from the mean μ.

Hence, the range maximum is μ+3σ = 65+3(3) = 65+9 = 74 inches, and the range minimum is μ-3σ = 65-3(3) = 65-9 = 56 inches

Thus, 99.7% of the population will have a height within the range of 56 inches to 74 inches