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:

Source Sum of Squares DF Mean Square F P-value
Groups 63906.2 2 31953.1 5.696 0.005
Error 353440.2 63 5610.2
Total 417346.4 65
Under the null hypothesis of equality of population means, what is the distribution of the test statistic?

Select one:

a. F(2, 63)

b. F(2, 65)

c. N(0, 3)

d. t(63)

3. 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:

Source Sum of Squares DF Mean Square F P-value
Groups 63906.2 2 31953.1 5.696 0.005
Error 353440.2 63 5610.2
Total 417346.4 65
The value of the F statistic in the ANOVA table is reported as 5.696. The value of the corresponding P-value is 0.005. If we were to draw the F distribution and mark the value of 5.696 on the x-axis, how would we indicate the P-value in the graph?

Select one:

a. The area under the curve to the left of 5.696.

b. The area under the curve to the right of 5.696.

c. The area under the curve to the right of 5.696 and to the left of 0.176.

d. This cannot be determined from the information given.