I have a set of sample data for the following scenario already entered into SPSS

Question

I have a set of sample data for the following scenario already entered into SPSS:

You are the director of Institutional Research at a small state university and you have been given the task of gathering information for the dean of the School of Education regarding the performance of their undergraduate students on the Graduate Record Exam (GRE). Data on six variables were collected: gender, overall grade point average (GPA), major GPA, GRE scores in major area, GRE quantitative, GRE verbal, and type of preparation programs. The university is dedicated to maximize student success on the GRE. The university has established five different options for students to prepare for the GREs: option 1 = completely online asynchronous prep course, 2 = completely online synchronous prep course, 3 = complete a hybrid prep course with a combination of online and face to face; 4 = complete a traditional instructor led prep course, and 5 = self-paced paper based prep course.

The dean has simply asked you, “Tell me what works best and for whom?” You decide to establish a pilot study with 50 randomly selected general science education seniors to determine the details of the methodology as well as to provide some initial data and corresponding results to learn if the research plan meets the dean’s needs.

I have the following research question and hypotheses:

Q1. What preparation program best prepares females for the GRE?

What would be my null and alternative hypothesis and what statistical analysis in SPSS should I use and why?

Explanation / Answer

The null hypotheses is that all the 5 alternative GRE preprations are similar

The alternative is that at least one of the alternatives is different from the others.

The statistical analysis to be used is ANOVA because more than one sample is to be tested for equialence.

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