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 Error 353440.2 2 31953.1 5.696 0.005 63 5610.2 Total 417346.4 16. How many colleges were included in the study? A)3 B) 63 C) 65 D) 66 17. One of the assumptions in ANOVA is that the population standard deviations are equal. Determine whether each of the following statements is true or false. A) We may use side-by-side boxplots to assess if this assumption of equal population standard deviations seems reasonable. B) As long as the ratio of the largest to the smallest sample standard deviation is greater than 2, then the assumption seems to be satisfied. An estimate for the common standard deviation in the three populations equals 74.90. DWe may use Normal quantile plots to determine if the assumption of equal population standard deviations is reasonable. 18. 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) 1(63) 19. 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? 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. 20. 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 appear 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.