Refer to Example on page. a. The area under the standard normal curve with parameters μ = 64.4 and Ï = 2.4 that lies to

Refer to Example on page.
a. The area under the standard 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 exact percentage of female students who are shorter than 61 inches.
c. Compare your answers from parts (a) and (b).
Table 6.1

Frequency Relative frequency Height (in. 56-under 57 57-under 58 58-under 59 26 0.0080 59-under 60 74 0.0227 60-under 61 147 0.0450 61-under 62 247 0.0757 62-under 63 382 0.1170 63-under 64483 0.1480 64-under 65559 0.1713 65-under 66 514 0.1575 66-under 67 359 0.1100 67-under 68240 0.0735 68-under 69122 0.0374 69-under 7065 0.0199 70-under 71 24 0.0074 71-under 72 72-under 73 0.0015 73-under 74 6 0.0018 7 0.0021 0.0003 3264 1.0000 ,5| 5 |