Question

Women's heights average 64 inches with a standard deviation of 2.2 inches in a certain study. Use the 68-95-99.7

rule to determine the typical ranges of the women's heights. In what range will approximately the middle 68% of
the women's heights lie?
The middle 68% of the women's heights will lie between and
(Simplify your answers. Type integers or decimals. Use ascending order.)

Answer 1

The typical range for the middle 68% of women's heights is 61.8 inches to 66.2 inches.

Step-by-step explanation:

To determine the typical ranges of women's heights using the 68-95-99.7 rule, we need to consider the standard deviations from the mean. In this case, the average height is 64 inches and the standard deviation is 2.2 inches. According to the rule, approximately 68% of the data falls within 1 standard deviation of the mean. So, the typical range for the middle 68% of women's heights will be calculated by subtracting and adding 1 standard deviation from the mean.

Lower range: Mean - 1 standard deviation = 64 - 2.2 = 61.8 inches

Upper range: Mean + 1 standard deviation = 64 + 2.2 = 66.2 inches