Suppose a sample of students were given a diagnostic test before studying a particular module and then
Question:
Suppose a sample of students were given a diagnostic test before studying a particular module and then again after completing the module. We want to find out if, in general, if the teaching module leads to improvements in students’ knowledge/skills (i.e. test scores). Address this by answering the questions below. Data are in the following table.
1. What is/are the population(s) of interest? Think carefully and be as specific as possible!
2. What are the research and null hypotheses?
3. What is/are the sample(s)?
4. What is the comparison distribution a distribution of?
5. What are the properties of the comparison distribution?
6. What is/are the critical value(s) of the test?
7. What is the value of the test statistic?
8. What conclusion should the researcher draw?
9. Estimate the p value of the test. You will need to state a range.