Appendix 1 Step 3. Calculating the confidence range.
Pm ‡ 1.96*Sp =
60.7 ‡ 1.96*1.26 =
60.78 + 2.478 This indicates that there is a 95 percent probability that the actual percentage of men is between 58.2 percent and
63.2 percent, and that the percentage of women is between
36.8 percent and 41.8 percent, i.e., 58.2/41.8 and
63.2/36.8.
Step 4. Calculation of the standard average adult weight.
Use the standard average male and female weights shown in paragraph 10a of the AC (assume summer weights for this example) and the percentages of men and women found in the survey. When doing this calculation, divide Pm and at by 100 to express them in decimal form.
×{*g 100 100 = 195*60.7 + 155*39.3 100 100 = 179 lbs.
Step 5. Calculation of the standard deviation of the average adult weight. When doing this calculation, divide p, q, and s, by 100 to express them in decimal form.
Par 6 Page 13
Appendix 1 From the survey supporting the AC averages:
Sm = 35.1; nm = 1039; S; = 34.8; n; = 640; X = 195; and ס = 155. Thus, S= (-607) 2*-(35.1)2) 1039 +(.393) 2+ (34.812) +4037.01262 = ,99 Step 6. Calculation of the accuracy of the standard average adult weight.
e = - 1.96*5X * 100 = 1.96*.99 * 100 179 = 1.18 Step 7. Calculation of the confidence range of the standard average adult weight.
Хз ‡ 1,96* 5x, = 179 * 1.96 * .99 = 179 ‡ 1.9 lbs.
This indicates that there is a 95 percent probability that the actual standard average adult weight is between 177 and 181 pounds.
Page 14 Par 6
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