- In a study examining whether taking a statistics courseinfluences students’ reasoning skill, a researcher first gave areasoning task to 5 students who have never taken a statisticscourse, and then the students took a brief statistics lecture whichlasted 3 hours. After the lecture, the same five students took thereasoning task again. Their performance scores are summarized inthe table below.
Student ID | Performance before the lecture | Performance afterthe lecture |
A | 6 | 8 |
B | 7 | 7 |
C | 5 | 7 |
D | 8 | 8 |
E | 7 | Â Â Â Â 10 |
Perform anappropriate statistical test and provide your conclusion on whetheror not their reasoning performance are different before and aftertaking the STATS lecture.
2. In the above(#9), the same 5 students took the test twice, before and after thelecture. Reanalyze the above data as the data obtained from twosets of independent samples. Now please perform an appropriatestatistical test to compare the means, pretending that twodifferent (independent) groups of five people took the same test,one before and one after the lecture.
