37ca7e9a7c4ec7f446dd#20001 22894733 el!search.\" omework Market | | 1530 Online

Question

37ca7e9a7c4ec7f446dd#20001 22894733 el!search." omework Market | | 1530 Online 2.110 Female heights According to a recent report from the U.S. National Center for Health Statistics, females between 25 and 34 years of age have a bell-shaped distribution for height, with mean of 85 inches and standard devistion of 3.5 inches a. Give an interval within which about 96% of the heights fall. b. What is the height for a female who is 3 standard deviations below the mean? Would this be a rather unusual height? Why?

Explanation / Answer

a) Mean = 65, SD = 3.5

For 0.05 significance level, zcrit = 1.96

95% CI = Mean +/- zcrit*SD = 65 +/- 1.96*3.5 = (58.14, 71.86)

b) For SD = -3, X = 65 - 3*3.5 = 54.5

For Z = -3, P = 0.0013 which is less than 0.05(significance level), therefore this height is unusual

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