A criminal justice student is interested in testing the theory that men get involved in crime at a much earlier age than women. He obtains data from a local police department of the age of first arrest for individuals arrested that week by the police for both female and male offenders. Use his data below to answer the following questions:

Women Men 19 15 17 20 22 11 18 13 25 14 29 16 20 14 18 9 19 11 23 14 a) State the null hypothesis. b) Use the appropriate t-test for differences between means for this sample by hand and show all of your work (use the 0.05 alpha level). Based on the 0.05 significance level (p<0.05), do we accept or reject the null hypothesis for this sample and what can we conclude?