(Solved): Problem 6. A biologist who studies spiders was interested in comparing the lengths of female and m ...

Problem 6. A biologist who studies spiders was interested in comparing the lengths of female and male green lynx spiders. Assume that the length X of the male spider is approximately N(ux, o) and the length Y of the female spider is approximately N(?y, o ). Following are nx = 30 observations of X: 5.20 4.70 5.75 7.50 6.45 6.55 4.70 4.80 5.95 5.20 6.35 6.95 5.70 6.20 5.40 6.20 5.85 6.80 5.65 5.50 5.65 5.85 5.75 6.35 5.75 5.95 5.90 7.00 6.10 5.80 Following are ny = 30 observations of Y: 8.25 9.95 5.90 7.05 8.45 7.55 9.80 10.80 6.60 7.55 8.10 9.10 6.10 9.30 8.75 7.00 7.80 8.00 9.00 6.30 8.35 8.70 8.00 7.50 9.50 8.30 7.05 8.30 7.95 9.60 The units of measurement for both sets of observations are millimeters. Find an approximate one-sided 95% confidence interval that is an upper bound for ux - ?y.