A school district is conducting an evaluation to assess the impact of two types
ID: 2929371 • 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. ( Could not copy and paste table, but these are the numbers in the table)
Show all the hand calculations for 6th, 7th, and 8th grade and make a summary table based on the selected statistical procedure.
6th grade math basic course 30, 20, 50, 20, 20, 20
6th grade Math Booster course 20, 70, 20, 60, 40, 50
7th grade math basic course 40, 10, 50, 10, 20, 20
7th grade math booster course 20, 70, 40, 20, 50, 80
8th grade math basic course 70, 50, 30, 40, 80, 40
8th grade math booster course 70, 50, 40, 30, 20, 60
Explanation / Answer
Hypothesis :
H0: The impact of math course is same on students of 6th ,7th and 8th Grade students
VS
H1 : The impact of math course is not same on students of 6th ,7th and 8th Grade students
Independent Variables : Grade of Students
Levels of independent variables : 6th ,7th, 8th Class students
Dependent Variables : Score in Algebra
Analysis of variance technique for Randomized block design can be used here as treatments are Basic math course and Booster math course and grades of students forms the block and algebra score is the response
Analysis of Variance for Score
Source DF SS MS F P
Grade 2 1172.2 586.1 1.52 0.234
type of course 1 802.8 802.8 2.08 0.158
Error 32 12322.2 385.1
Total 35 14297.2
S = 19.6232 R-Sq = 13.81% R-Sq(adj) = 5.73%
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