While playing the role of Catherine Piper on Boston Legal, Betty White “killed” the character of Bernard Ferrion (played by Leslie Jordan)

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While playing the role of Catherine Piper on Boston Legal, Betty White “killed” the character of Bernard Ferrion (played by Leslie Jordan). Catherine ended being found not guilty, but it led Betty to wonder: are men and women treated differently when convicted of murder? As a result, Betty took two random samples of convicted murderers, given below, and determined how long the sentences were.

Men: 25, 30, 50, 25, 20, 30, 40, 25, 30, 25, 75, 25, 15

Women: 25, 15, 20, 15, 20, 25, 15, 30, 25, 40

You may assume the data comes from normal distributions. At the .05 level of significance, is there evidence to show that men get longer sentences for murder than women?