High School

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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, 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

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

Answer :

Answer:

C; 62 to 68 inches

Step-by-step 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

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