(Solved): collecting informstion from random samples of 15 Republicans and 16 Democrats she discovers the fol ...

collecting informstion from random samples of 15 Republicans and 16 Democrats she discovers the following: Republicans: mean of \( 14.13 \) with variance of \( 3.52 \). Democrats: mean of \( 15.69 \) with variance of \( 2.85 \). She wants to test the hypothesis that \[ \mu_{D}-\mu_{R}>0 . \] a) Calculate the pocled variance. Give your answer to at least 2 decimal places. b) Calculate the appropriate test statistic for this mpothesis test. c) How many degrees of freedom are there in this test? d) If this test is done at the \( 1 \% \) significance level what is the appropriate critical value? e) Should you keep or reject the null hypothesis in this case? Answer 0 to keep it, and 1 to reject it,