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

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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 |