In a study on scholastic test scores of entering college freshmen,a random sample of colleges across the nation is selected and the average SAT Math score for the freshman class is recorded.The colleges are categorized according to their affiliation: public,private,or church.Does it appear that freshmen entering the three different types of schools do equally well on the SAT Math? Computer output is included below. At a significance level of 0.05,what is the appropriate conclusion about the average SAT Math scores?
A)The average SAT Math scores for freshmen attending colleges with the three different affiliations appear to be the same.
B)Each of the three average SAT Math scores for freshmen attending colleges with the three different affiliations appears to be different.
C)It appears that freshmen attending at least one of the three different types of college have a different average SAT Math score.
D)Freshmen at one type of affiliated college have a significantly better average SAT Math score than the other two.

Question

In a study on scholastic test scores of entering college freshmen,a random sample of colleges across the nation is selected and the average SAT Math score for the freshman class is recorded.The colleges are categorized according to their affiliation: public,private,or church.Does it appear that freshmen entering the three different types of schools do equally well on the SAT Math? Computer output is included below.  At a significance level of 0.05,what is the appropriate conclusion about the average SAT Math scores?
A)The average SAT Math scores for freshmen attending colleges with the three different affiliations appear to be the same. 
B)Each of the three average SAT Math scores for freshmen attending colleges with the three different affiliations appears to be different. 
C)It appears that freshmen attending at least one of the three different types of college have a different average SAT Math score. 
D)Freshmen at one type of affiliated college have a significantly better average SAT Math score than the other two.

Quizplus · Accepted Answer

This question cannot be fully answered without the computer output provided. The output would need to include the results of an ANOVA (analysis of variance) test conducted on the data. If the ANOVA test has a significant result (p-value less than 0.05), then we can conclude that at least one of the three groups (public, private, church) has a significantly different average SAT Math score than the others. This would mean that choice C is the appropriate conclusion. If the ANOVA test does not have a significant result, then we cannot reject the null hypothesis that the three groups have equal average SAT Math scores, and the appropriate conclusion would be choice A.

In a Study on Scholastic Test Scores of Entering College