Students completed a high school senior level standardized algebra exam. Major for students was also recorded....

Students completed a high school senior level standardized algebra exam. Major for students was also recorded. Data in terms of percent correct is recorded below for 32 students. We are interested to see if there is any difference between students' high-school algebra test scores and subsequent declared college major.

These students have now also just completed the same college-level calculus class and received a grade. We are therefore now also interested to see if there is any relationship between the students' algebra test scores and their calculus course grades: On average, did students who tended to score higher on the high-school algebra test also finish the course with higher grades? Conveniently, only one student of each major received the same grade (see table - for example, there is only one Education major who received a grad of A).

Use the Microsoft Excel "Anova Single-Factor" Data Analysis tool to conduct a 2-way ANOVA test for the data in the following table:

Declared College Major
Grade	Education	Business/Management	Behavioral/Social Science	Fine Arts
A	62	89	68	87
A-	81	88	71	57
B+	75	82	52	62
B	58	69	50	64
B-	67	59	22	28
C+	48	73	31	29
C	16	40	42	30
C-	26	45	16	15

What are your two null hypotheses in this study?
What are your two corresponding alternate hypotheses? Use the phrase "at least one" in each of your hypothesis statements.
What level of significance did you choose and why?
What are your F_crit values?

Expert Solution

orchestra answered 11 months ago

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