In Order to Improve the Grades of Students at UTC

Short Answer

In order to improve the grades of students at UTC, several incentive programs have been introduced. Results of random samples of grades from after and before the incentive programs are given below.
$\begin{array}{lcc}&\text { After Incentives }&\text { Before incentives }\\\text { Sample Size } & 14.00 & 12.00 \\\text { Sample Mean } & 2.85 & 2.61 \\\text { Sample Standard Deviation } & 0.40 & 0.35 \\\text { Sample Mode } & 2.50 & 3.00\end{array}$
a. Give the hypotheses.
b. Compute the test statistic.
c. At a 0.1 level of significance, test to determine whether the incentive programs have significantly increased the average grades.