SOLUTION: In an all boys school, the heights of the student body are normally distributed with a mean of 67 inches and a standard deviation of 4.5 inches. Using the empirical rule, determine

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Question 1177993: In an all boys school, the heights of the student body are normally distributed with a mean of 67 inches and a standard deviation of 4.5 inches. Using the empirical rule, determine the interval of heights that represents the middle 68% of male heights from this school.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
here's a definition of the empirical rule.

https://www.investopedia.com/terms/e/empirical-rule.asp

based on that rule, 6% are wihin 1 standard deviation of the mean.

since the mean is 67 and the standrd deviation is 4.5 inches, then the interval of heights that represents the middle 68% of male heights from the school will be:

62.5 inches to 71.5 inches.

heare are two displays that show this to be true.





the first display looks for the area from a value.

the second display looks for the value from an area.