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. Under the null hypothesis of equality of population means,what is the distribution of the test statistic?
A)F(2,63)
B)F(2,65)
C)N(0,3)
D)t(63)

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.  Under the null hypothesis of equality of population means,what is the distribution of the test statistic?
A)F(2,63) 
B)F(2,65) 
C)N(0,3) 
D)t(63)

Quizplus · Accepted Answer

The null hypothesis is that the population means of SAT Math scores of freshmen entering public, private, and church-affiliated colleges are equal. Since we are comparing the means of three populations, the test statistic follows an F-distribution with (3-1, n1+n2+n3-3) = F(2,63) degrees of freedom.

In a Study on Scholastic Test Scores of Entering College