Questions by kobe08 - Page 64

Value for (ii):Part c)Which of the following inferences can be made when testing at the 5% significance level for the null hypothesis that the racial groups have the same mean test scores?OA. Since the observed F statistic is greater than the 95th percentile of the F2,74 distribution we do not reject the null hypothesis that the three racial groups have the same mean test score.OB. Since the observed F statistic is less than the 95th percentile of the F2,74 distribution we do not reject the null hypothesis that the three racial groups havethe same mean test score. OC. Since the observed F statistic is greater than the 5th percentile of the F2,74 distribution we do not reject the null hypothesis that the three racial groups havethe same mean test score.OD. Since the observed F statistic is less than the 95th percentile of the F2,74 distribution we can reject the null hypothesis that the three racial groups have thesame mean test score.OE. Since the observed F statistic is less than the 5th percentile of the F2,74 distribution we do not reject the null hypothesis that the three racial groups have thesame mean test score.OF. Since the observed F statistic is greater than the 95th percentile of the F2,74 distribution we can reject the null hypothesis that the three racial groups havethe same mean test score.Part d)Suppose we perform our pairwise comparisons, to test for a significant difference in the mean scores between each pair of racial groups. If investigating for a significant difference in the mean scores between blacks and whites, what would be the smallest absolute distance between the sample means that would suggest a significant difference? Assume the test is at the 5% significance level, and give your answer to 3 decimal places.