Is there evidence of differences in the mean grade of a reading comprehension test given to third graders in three different test settings (1- outdoors, 2- in a concert hall, 3- in individual rooms)? All third graders had the same reading level, read the same short story and were given the exact same test. a) Can the variances be pooled? Choose an option from the list and type its corresponding letter in the box. Yes, because 9.56124<2*7.39413 .No, because 10.70130>2*1.10404 .Yes, because 2.14026<2*1.10404 .Yes, because 10.70130<2*7.39413 .Answer for (a): b) Which of the following is true based on the SPSS Ouput? Choose an option from the list and type its corresponding letter in the boxAt the 5% significance level, there is no evidence that at least one of the population means is different from the rest. At the 5% significance level, there is no evidence that at least one of the sample means is different from the rest. At the 5% significance level, there is evidence that at least one of the population means is different from the rest. At the 5% significance level, there is evidence that at least one of the sample means is different from the rest. Answer for (b): c) Which of the following is true? Choose an option from the list and type its corresponding letter in the box. At the 1% significance level there is evidence that there are differences among all three population means. There is a need to do a Bonferroni Multiple Comparisons test to find out what population mean/s is/are different from the rest. The Bonferroni Multiple Comparisons test is irrelevant in this case, not adding any information to the conclusions from the ANOVA test. Answer for (c): d)Which is true about an ANOVA based on its test statistic? Choose an option from the list and type its corresponding letter in the box. If the test statistic increases then the P-value increases and rejecting the null hypothesis is less likely. If the test statistic decreases then the P-value decreases and rejecting the null hypothesis is more likely. If the test statistic increases then the P-value decreases and rejecting the null hypothesis is more likelyIf the test statistic decreases then the P-value increases and rejecting the null hypothesis is more likely.