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.

Question

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.

Quizplus · Accepted Answer

The Answer of 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.

In Order to Improve the Grades of Students at UTC