Recently, a Local Newspaper Reported That Part Time Students Are $\begin{array}{cc}&\text { Full Time }&\text { Part Time }\\&26 & 24 \\s&2 & 3 \\n&42 & 31\end{array}$

Recently, a local newspaper reported that part time students are older than full time students. In order to test the validity of its statement, two independent samples of students were selected.
$\begin{array}{cc}&\text { Full Time }&\text { Part Time }\\&26 & 24 \\s&2 & 3 \\n&42 & 31\end{array}$
a. Give the hypotheses for the above.
b. Determine the degrees of freedom.
c. Compute the test statistic.
d. At 95% confidence, test to determine whether or not the average age of part time students is
significantly more than full time students.