Female College Students. Refer to Example 6.3 on page 289.

a. The area under the normal curve with parameters μ = 64.4 and

σ = 2.4 that lies to the left of 61 is 0.0783. Use this information to estimate the percentage of female students who are shorter than 61 inches.

b. Use the relative-frequency distribution in Table 6.1 to obtain the actual percentage of female students who are shorter than 61 inches.

c. Compare your answers from parts

(a) and (b).