Refer to Example 8.1 on page 167, and the corresponding Figure 8.3 showing the distribution of heights for college women. The mean of the heights is 64.5 inches, and the standard deviation is 2.5 inches.
a. Use the Empirical Rule to determine the ranges into which about 68%, 95%, and 99.7% of college women€™s heights should fall.
b. Draw a picture illustrating the ranges you found in part (a), indicating the cutoff points for the middle 68%, 95%, and 99.7% of heights of college women.
c. The table below (top of next page) shows some ranges of heights and the number of women out of the 94 in the sample whose heights fell into these ranges. Compare these 94 women to what would be expected if the Empirical Rule held exactly, using the intervals found in part (a).

57 to 59.5 to 62 67 to 69.5 69.5 to 72 Range (inches) 59.5 Number of 1 62 to 64.5 64.5 to 67 17 32 9 women