Q1. A school district is conducting an evaluation to assess the impact of two ty
ID: 2923380 • Letter: Q
Question
Q1. 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
State the null and alternate hypothesis. 1 point
What is/are the independent variable(s) and how many levels do they have? 1 point
What is the dependent variable? 1 point
Which statistical procedure is most suitable for this research scenario? 1 point
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
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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