Instruction 10-4
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.
$$\begin{array} { c c c }
\text { Student } & \begin{array} { c }
\text { Exam Score } \
\text { Before Course }
\end{array} & \begin{array} { c }
\text { Exam Score } \
\text { After Course (2) }
\end{array} \
& ( 1 ) & \
1 & 530 & 670 \
2 & 650 & 770 \
3 & 910 & 1,000 \
4 & 700 & 710 \
5 & 450 & 550 \
6 & 820 & 870 \
7 & 820 & 770 \
8 & 630 & 610
\end{array}$$
-Referring to Instruction 10-4,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 10-4
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.
 $$\begin{array} { c c c } 
\text { Student } & \begin{array} { c } 
\text { Exam Score } \
\text { Before Course }
\end{array} & \begin{array} { c } 
\text { Exam Score } \
\text { After Course (2) }
\end{array} \
& ( 1 ) & \
 1  & 530 & 670 \ 
2 & 650 & 770 \
3 & 910 & 1,000 \
4 & 700 & 710 \
5 & 450 & 550 \
6 & 820 & 870 \
7 & 820 & 770 \
8 & 630 & 610
\end{array}$$
-Referring to Instruction 10-4,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

We can perform a paired t-test to compare the means of the two samples. Using a two-tailed test at a 0.05 level of significance, the calculated t-value is 2.306 and the critical t-value with 7 degrees of freedom is 2.365. Since the calculated t-value is less than the critical t-value, we fail to reject the null hypothesis. Therefore, we can conclude that there is not enough evidence to suggest that the preparation course significantly improved the scores of the students.

Instruction 10-4 to Test the Effectiveness of a Business School

Instruction 10-4
to Test the Effectiveness of a Business School