Question

The distribution of heights of adult men in the U.S. is approximately normal with mean 69 inches and standard deviation 2.5 inches. Use what you know about a normal distribution and the 68-95-99.7 rule to answer the following.
NOTE: If your answer is a percent, such as 25 percent, enter: "25 PERCENT" (without the quotes). If your answer is in inches, such as 10 inches, enter: "10 INCHES" (without the quotes and with a space between the number and the INCHES). If your answer is an interval, such as 14 to 15 inches, then enter: "14 TO 15 INCHES" (without the quotes). Do not use extra zeros and do not include a decimal point unless your answer is not a whole number. Your answer must be entered in the correct format.

About 2.5 percent of all men are shorter than -

1

Answer 1

Approximately 95% of data lies within 2 standard deviation of the mean, rest of it lies outside the range (5%)

Which means 2.5% left tail and 2.5% right tail

2.5 percent of all men are shorter than = 69 - 2*2.5 = 64 inches