A school district is conducting an evaluation to assess the impact of two types
ID: 3307120 • Letter: A
Question
A school district is conducting an evaluation to assess the impact of two types of Math
courses on 6th, 7th and 8th grade students Algebra scores. A random sample of 36 students were selected from the three grade levels. The table below provides the algebra scores. Show all the calculations for full credit.
6th Grade
7th Grade
8th Grade
Math
Basic Course
30
40
70
20
10
50
50
50
30
20
10
40
40
20
80
20
20
40
Math Booster Course
20
20
70
70
70
50
20
40
40
60
20
30
40
50
20
50
80
60
a.State the null and alternate hypothesis.
b.What is/are the independent variable(s) and how many levels do they have?
c.What is the dependent variable?
d.Which statistical procedure is most suitable for this research scenario?
e.Show all the hand-calculations and make the summary table based on the selected statistical procedure.
f.Enter the data in SPSS and conduct the appropriate statistical analysis. Include snapshots of the important SPSS output tables and figures. Comment on the homogeneity of variance assumption. Interpret your results even if the assumption is not met. Briefly explain the SPSS outputs.
g.Summarize your results based on your statistical analysis in a scholarly manner. Your summary write-up should answer the following questions:
a.Which Math course has higher, lower or no impact on student’s algebra scores?
b.Does a particular grade level influence algebra scores more than the other two grade levels?
c.Is there an interactive influence of Math course and grade level on student’s algebra scores?
6th Grade
7th Grade
8th Grade
Math
Basic Course
30
40
70
20
10
50
50
50
30
20
10
40
40
20
80
20
20
40
Math Booster Course
20
20
70
70
70
50
20
40
40
60
20
30
40
50
20
50
80
60
Explanation / Answer
a) Null Hypethesis:
Math Booster course has no improvement in the mean marks obtained by a class compared to a class who takes up only Math Basic course.
Alternate Hypothesis
Math Booster course leads to improvement in the mean marks obtained by a class compared to a class who takes up only Math Basic course.
b) Independent variable is the predictor which in this case is teaching Math Booster Course.
c) Dependent Variable is out come which is the change in mean marks obtained by the class.
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