 Calculation Study Of Average Height Of Men Assignment Paper From the same study: average height of men  inches,  inches average forearm length  inches,  inch,  (a) What percentage of men have forearms which are 18 inches long, to the nearest inch? (b) Of the men who are 68 inches tall, what percentage have forearms which are 18 inches long, to the nearest inch?

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average height of father ≈ 68 inches, SD≈ 2.7 inches average height of foreman≈ 18 inches, SD≈ 1 inches, r≈ 0.80 Answer : a) To the nearest inch can be interpreted as 17.5 to 18.5 inches Z score(Z1) = (18 - 17.5)/1 = 0.5 Z score(Z2) = (18 - 18.5)/1 = -0.5 Z = Z1 - Z2 = 0.69 - 0.31 = 0.38 So here as per above calculation 38% of men have forearms which are 18 inches long, to the nearest inch. b) Use regression method and find the height of son: 68 is average +0SD 68 = 68 +0 = 68 = now multiply the correlation coefficient (0.8) by 0\ 0.8 × 0 = 0 then multiply 0 by the SD of 1 0 .SD = 0.1=0 now add 0 to 18 18+0 = 18 18 is the corresponding predicted length of forearms. Now find the new SD: √(1 - r ^ 2) * SD √ 1 - 0.8^2 * 1 = 0.6 Z score(Z1) = (18 - 17.5)/0.9 = 0.83 Z score(Z2) = (18 - 18.5)/1 = -0.83 Z = Z1 - Z2 = 0.7967 - 0.2033 = 0.6 So here as per above calculation 60% of men have forearms which are 18 inches long, to the nearest inch. Calculation Study Of Average Height Of Men Assignment Paper
average height of father ≈ 68 inches, SD≈ 2.7 inches
average height of foreman≈ 18 inches,
SD≈ 1 inches, r≈ 0.80
a) To the nearest inch can be interpreted as 17.5 to 18.5 inches
Z score(Z1) = (18 - 17.5)/1 = 0.5
Z score(Z2) = (18 - 18.5)/1 = -0.5
Z = Z1 - Z2 = 0.69 - 0.31 = 0.38
So here as per above calculation 38% of men have forearms which are 18 inches long, to the nearest inch. Calculation Study Of Average Height Of Men Assignment Paper

b)
Use regression method and find the height of son:
68 is average +0SD
68 = 68 +0 = 68 =
now multiply the correlation coefficient (0.8) by 0\
0.8 × 0 = 0
then multiply 0 by the SD of 1
0 .SD = 0.1=0
18+0 = 18
18 is the corresponding predicted length of forearms.
Now find the new SD:
√(1 - r ^ 2) * SD
√ 1 - 0.8^2 * 1 = 0.6
Z score(Z1) = (18 - 17.5)/0.9 = 0.83
Z score(Z2) = (18 - 18.5)/1 = -0.83
Z = Z1 - Z2 = 0.7967 - 0.2033 = 0.6
So here as per above calculation 60% of men have forearms which are 18 inches long, to the nearest inch. Calculation Study Of Average Height Of Men Assignment Paper

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