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Chapter 2: Q T2.7. (page 149)

If the heights of a population of men are approximately Normally distributed, and the middle 99.7%have heights between 5鈥�0鈥�and 7鈥�0鈥�what is the standard deviation of the heights in this population?

a.1鈥�b.3鈥�c.4鈥�d.6鈥�e.12鈥�

Short Answer

Expert verified

The correct option is c. 4鈥�

Step by step solution

01

Given information

99.7%of the height is between 5鈥�0鈥�鈥�and7鈥�0鈥�鈥�

02

Calculation

The normal distribution rule states that 99.7% of data will fall within three standard deviations of the mean.

The mean is 6'0" since it is at the midpoint of the interval.

Also, 3 standard deviation is between 5'0" and 6'0" tall.

3蟽=1'0''=12''

Dividing each side by 3:

蟽=12'4=4''

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