An education researcher attempts to design a study on student achievement using aggregated data drawn from a series of instructive measures.

The items address specific indicators of methods of math instruction (online format/classroom format) students' gender (male/female), overall middle school GPA, math middle school GPA, pre instruction math attitude score, math problem solving score, math general problem solving score, post instruction math attitude score, math problem solving score, math general problem solving score, ITED 8th grade math score, ITED 9th grade math score, and final algebra grade (A+ to F).

Generate a research report addressing which statistical tests should be used and provide explanations for the following. Address the appropriate descriptive statistics and choose the applicable inferential statistical test to answer the following hypotheses derived from the research questions:

Research Questions

What is the relationship between pre instruction math attitude, math problem solving, math general problem solving, post instruction math attitude, math problem solving, and math general problem solving?

What is the relationship between students' gender, methods of math instruction, ITED 8th grade math score, and ITED 9th grade math score?

Do overall middle school GPA, math middle school GPA and ITED 8th grade math score influence ITED 9th grade math score?

Research Hypotheses

1. Students' gender has an effect on ITED 8th grade math score.

2. Students' gender has an effect on ITED 9th grade math score.

3. Methods of math instruction have an effect on ITED 8th grade math score.

4. Methods of math instruction have an effect on ITED 9th grade math score.

5. There is a relationship between final algebra grade, overall middle school GPA, and math middle school GPA.

6. Final algebra grade has an effect on overall middle school GPA.

7. Final algebra grade has an effect on math middle school GPA.

8. While controlling for overall middle school GPA and math middle school GPA, 8th grade math score is the best predictor of 9th grade math score.