題組內容

II. 問答題
The significance level is 0.05 for all questions in II unless otherwise specified.
1. A college received applications from prospective students. The application form contains a variety of information including gender, the individual's Scholastic Aptitude Test (SAT) score and whether or not the student is in-state. SAT scores are normally distributed. The results are in the following table.

(2) Based on the result of previous question, conduct a statistical test to determine whether the mean SAT score of male students is significantly LOWER than the mean SAT score of female students. Report the test statistic and make a conclusion (reject or not reject the null hypothesis). (5%)