A paper 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. Men Women =0.56 = 0.07 Sd = 0.81 S = 0.75 n = 40 n = 40 USE SALT You can assume it is reasonable to regard the two samples in this study as being representative of male online daters and female online daters. (Although the authors of the paper believed that their samples were representative of these populations, participants were volunteers recruited through newspaper advertisements, so we should be a bit hesitant to generalize results to all online daters.) (a) Use the paired t test to determine if there is convincing evidence that, on average, male online daters overstate their height in online dating profiles. Use α = 0.05. (Use Hd profile "actual") Find the test statistic. (Round your answer to two decimal places.) t = Find the df. df = Use technology to find the P-value. (Round your answer to four decimal places.) P-value =