Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height
within which of the following ranges?

A. 56 inches to 80 inches
B. 64 inches to 72 inches
C. 60 inches to 76 inches
D. 52 inches to 84 inches

Respuesta :

Answer:

60 inches to 76 inches

Step-by-step explanation:

Empirical Rule States: That at 99.7%  the measurements would be within 2 standard deviations of the mean.

Given: Mean of 68 inches

Given: Standard Deviation of 4

  1. Multiply the standard deviation by 2 (2×4)=8
  2. Subtract 8 from the mean (68-8)=60
  3. Add 8 to the mean (68+8)=76

Therefore your answer is 60-67

Answer: A. 56 inches to 80 inches

Step-by-step explanation:

A.P.E.X