The option (A) 63 inches to 81 inches is correct after using the empirical Rule.
It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have:
The mean height of the population is 72 inches and the standard deviation is 3 inches, 99.7% of the population will have a height
99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean.
The lower range = 72 – 3(3) = 63 inches
The upper range = 72 + 3(3) = 81 inches
Thus, the option (A) 63 inches to 81 inches is correct after using the empirical Rule.
Learn more about the standard deviation here:
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