provided for each sub-part if it is about 50% correct. Your response should be b
ID: 3332736 • Letter: P
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provided for each sub-part if it is about 50% correct. Your response should be based solely on what is provided in each research scenario without making any additional assumptions. 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 7th 8th Grade Grade Grade 30 40 70 50 Math2010 Basic 20 Course 4 50 50 30 10 40 20 80 40 20 20 20 70 70 40 20 50 80 20 70 50 40 30 20 60 a. State the null and alternate hypothesis. 1 point b. What is/are the independent variable(s) and how many levels do they have? 1 point c. What is the dependent variable? 1 point d. Which statistical procedure is most suitable for this research scenario? 1 point e. Show all the hand-calculations and make the summary table based on the selected statistical procedure. 8 pointsExplanation / Answer
a. There are two factors-math score and grade levels. The complete model is as follows:
y=beta0+betax1+beta2x2+beta3x3+beta4x1x3+beta5x2x3
Thus, the null hypothesis that math score and grade levels do not interact, test the nul hypothesis that the interaction terms are not needed in the linear model.
H0:beta4=beta5=0
H1:at least one of the betaj's is different from another.
b. There are two independent factors (levels of which are manipulated)-type of math score and grade levels. Type of math score has two levels-Math basic course and Math booster course; and grade has three levels-6th, 7th and 8th grade.
c. The dependent variable (outcome of which is measured) is the alzebra course.
d. There are two factors, with 6 replicates for two factor level combinations. hence two-factor factorial experiment with repeatations is most suitable test.
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