# Final examination results

To assess the level of understanding of the students in the discussions, we compare the scores between the pre-examination and the final examination of the students. We also compare the significant difference between the pre-assessment and the final assessment scores of the Pask students and then those of the Landa students. In the table shown below, the first 20 scores are for the Pask students and the last 20 for the Landa’s students. First, we need to determine the amount the students learned before and after the experiment.

In comparing the average score obtained in the pre-assessment examination and the final examination, the computed t-value is -9. 45. Thus, there is a high significant difference between the two average scores (given the tabular t-value 1. 684 at 95% CI). The negative t-value means that the average score obtained from the final examination is greater than the average score obtained in the pre-assessment examination. In comparing the average score of the Pask students in the pre-assessment examination, the computed t-value is -11. 613.

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This means that there is a significant difference between the two average scores (given the tabular t-value 1. 731 at 95% CI). The negative t-value means that the Pask students got a higher average score in the final examination than in the pre-assessment examination. Similarly, in comparing the average scores of the Landa students in the pre-assessment examination and final examination, the computed t-value is -5. 854. Hence, there is a significant difference between the two average scores (given the tabular t-value 1. 731 at 95% CI). Since the computed t-value is negative, then the Landa students got a higher average score in their final examination than in their pre-assessment examination.

Now, in comparing the final examination scores of the Pask students and the Landa students the overall computed t-value is 3. 834. Thus, there is a significant difference (but not high) between the two average scores (given the tabular t-value 1. 731 at 95% CI). The positive t-value means that the Pask students got a higher average score in their final examination than that of the Landa students.

In the addition and subtraction part, the computed t-value is 1. 8. Hence, the two average scores have a significant (but not high) difference (given the tabular t-value 1. 731 at 95% CI). The computed t-value in the multiplication and division part is 3. 455 meaning that there is also a significant (but not high) difference between the two average scores (given the tabular t-value 1. 731 at 95% CI). In both parts, the Pask students have a higher average score than the Landa students. Also, notice that there is a Pask student who got a perfect score but none of the Landa students got perfect. The highest score in the Landa class is thirteen out of fifteen correct answers (obtained by one Landa student).

In the addition and subtraction part, two Pask students have perfect scores but still none of the Landa students have perfect scores. The highest score in the Landa class is nine out of ten correct answers (obtained by one Landa student). Similar results were obtained from the multiplication and addition part. There are eight Pask students who got a perfect score in this part but only two Landa students got perfect scores. The lowest score in the Pask class is nine out of fifteen correct answers (obtained by two Pask students) while in the Landa class, the lowest score is seven out of fifteen (obtained by two Landa students).

In the addition and subtraction part, the lowest score in the Pask class is six out of ten correct answers (obtained by four Pask students) while in the Landa class, the lowest score is five out of ten (obtained by four Landa students). In the multiplication and division part, the lowest score in the Pask class is three out of five correct answers (obtained by four Pask students) while in the Landa class, the lowest score is one out of five (obtained by one Landa student).