Please note that for all problems in this course, thestandard cut-off (alpha) for a test of significance will be .05,and you always report the exact power unless SPSS output statesp=.000 (you’d report p<.001). Also, remember whenhand-calculating, always use TWO decimal places so that deductionsin grading won’t be due to rounding differences.

Problem Set 1: (22 pts) A teacher wanted to see if a new pedagogical approach wasbeneficial to students, and if the effects vary by amount mathanxiety. To examine this, students completed math anxiety surveysand were grouped into “low”, “average”, and “high” levels of mathanxiety. She then randomly assigned equal numbers of students fromeach group into one of two classes – one taught using her“standard” approach; the other class was taught using a newapproach. The data presented in the table below are the final gradepercentages of the 60 children (30 per class). Conduct the mostappropriate statistical analysis to determine whether final gradesin a math class were affected by teaching approach and/or amount ofmath anxiety. Final grade (%) Low Average High Standard approach 72 80 77 68 85 71 73 73 73 75 81 69 97 73 90 73 91 74 95 73 76 88 73 67 89 71 81 97 75 75 New approach 88 78 68 89 90 79 93 89 58 89 88 83 79 75 81 88 80 69 92 86 86 91 88 88 94 85 81 87 77 68

1. What is the dependent variable and its scale of measurement inthis scenario? (3 pts)

2. State the independent variable(s) in the scenario and label aseither “BS” (between subjcts) or “WS” (within subjects). (2pts)

3. Paste appropriate SPSS output. (3 pts)

4. Paste appropriate SPSS graph(s), formatted in APA (2 pts).Write an appropriate figure caption using APA format for eachfigure (begin numbering with 1 – e.g., Figure 1). (2 pts per graph+ 2 pts per caption = 8 pts total for this question).

5. Write an APA-style Results section based on your analysis. Allhomework “Results sections” should follow the examples provided inthe presentations and textbooks. They should include thestatistical statement within a complete sentence that mentions thetype of test conducted, whether the test was significant, and adecision about each null hypothesis tested. Include effect sizes,post hoc analyses / interpretations, and refer the reader toFigure(s) created above, when appropriate (4 pts).

6. Identify a potential confounding variable with the study as itwas presented (you can use your imagination!). Justify why youthink it may be a confound rather than an extraneous variable. (2pts)