Assume that the population of all sister-brother heights has abivariate normal distribution and that the data below were sampledfrom this distribution.
Sister height (x) 69 64 65 63 65 62 65 64 66 59 62
Brother height (y) 71 68 66 67 70 71 70 73 72 65 66
Heights of n=11 pairs of siblings
(a) Consider the population of all sister-brother heights.Estimate the proportion of all brothers who are at least 5′10′′.
(b) Suppose that Carol is 5′ 1′′. Predict her brother’sheight.
(c) Consider the population of all sister-brother heights forwhich the sister is 5′ 1′′. Estimate the proportion of thesebrothers who are at least 5′ 10′′.
