=+two groups. The first group was the short-duration loneliness group, and the second was the long-duration loneliness group. A self-esteem inventory was administered to students in both groups. For the short-duration group, the reported mean self-esteem score was 76.78 and the standard deviation was 17.80. For the long-duration group, the mean and standard deviation were 64.00 and 15.68, respectively. Do the data support the researcher’s claim that mean self-esteem is lower for students classified as having long-duration loneliness? Test the relevant hypotheses using a 5 .01. Be sure to state any assumptions that are