Instruction 10-5
To test the effectiveness of a business school preparation course,8 students took a general business test before and after the course.The results are given below.
$$\begin{array} { c c c }
\text { Student } & \begin{array} { c }
\text { Exam Score } \
\text { Before Course (1) }
\end{array} & \begin{array} { c }
\text { Exam Score } \
\text { After Course (2) }
\end{array} \
\hline { 3 - 3 } 2 & 530 & 670 \
2 & 690 & 770 \
3 & 910 & 1,000 \
4 & 700 & 710 \
5 & 450 & 550 \
6 & 820 & 870 \
7 & 820 & 770 \
8 & 630 & 610
\end{array}$$
-Referring to Instruction 10-5,at the 0.05 level of significance,the decision for this hypothesis test would be
A)reject the null hypothesis.
B)reject the alternative hypothesis.
C)do not reject the null hypothesis.
D)It cannot be determined from the information given.

Question

Instruction 10-5
To test the effectiveness of a business school preparation course,8 students took a general business test before and after the course.The results are given below.
 $$\begin{array} { c c c } 
\text { Student } & \begin{array} { c } 
\text { Exam Score } \
\text { Before Course (1) }
\end{array} & \begin{array} { c } 
\text { Exam Score } \
\text { After Course (2) }
\end{array} \
\hline { 3 - 3 } 2 & 530 & 670 \
2 & 690 & 770 \
3 & 910 & 1,000 \
4 & 700 & 710 \
5 & 450 & 550 \
6 & 820 & 870 \
7 & 820 & 770 \
8 & 630 & 610
\end{array}$$
-Referring to Instruction 10-5,at the 0.05 level of significance,the decision for this hypothesis test would be
A)reject the null hypothesis.
B)reject the alternative hypothesis.
C)do not reject the null hypothesis.
D)It cannot be determined from the information given.

Quizplus · Accepted Answer

The t-test for paired samples is used to test the effectiveness of a business school preparation course. The null hypothesis is that the mean difference between the exam scores before and after the course is zero. The alternative hypothesis is that the mean difference is not zero. The t-test statistic is calculated to be 2.828, with a p-value of 0.027. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the business school preparation course is effective.

Instruction 10-5 to Test the Effectiveness of a Business School

Instruction 10-5
to Test the Effectiveness of a Business School