1. The paper “The Truth About Lying in Online Dating Profiles” (Proceedings, Computer-Human Interactions [2007]: 1 - 4) describes an investigation in which 40 men and 40 women with online dating profiles agreed to participate in a study. Each participant’s height (in inches) was measured and the actual height was compared to the height given in that person’s online profile. The differences between the online profile height and the actual height (profile - actual) were used to compute the values in the accompanying table. MenWomen 푥 = 0.57 s = 0.81 n = 40 푥 = 0.03 s = 0.75 n = 40 For purposes of this exercise, assume that the two samples are representative of male online daters and female online daters. Construct and interpret a 95% confidence interval for the difference between the mean online dating profile height and mean actual height for female daters.