Need help with this statistics homework

QUESTION 1 1 points Save Answer A "transitive" relation is one that says that "lfA is related to B, and B is related to C, then A will also be related to C. True or False: Pairwise comparison conclusions are always transitive. Note: Although you can eventually guess the correct answer, I recommend truly thinking about this property, and Why having this property is a very useful thing for practical applications. O True O False QUESTION 2 2 points Save Answer Suppose that Mk represents the median of population k, and you are interested in testing the following hypothesis with painNise comparisons: H: M =M =M =...=M 0 1 2 3 k How many painNise equality-ofmedian tests need to be conducted for the following values of k: a) k = 7, number of tests = b) k =13, number of tests = QUESTION 3 1 points Save Answer Suppose that (pk represents the distribution of population k, and you conduct a series of hypothesis test on equal population distributions to believe that (x) = (x) and (x) = (x) for all x in the set of real numbers. (p3 (p6 (p3 (p9 Suppose that you want to test the following null hypothesis with pairwise comparisons: H0: ll1='ll2="'=ll11 What is the necessary minimum number of painNise comparison Ttests that you would need to conduct in order to propertly conclude that all of these population means are approximately equal to one another? QUESTION 4 3 points Save Answer Consider the following matrix, F5 (the Fstatistic matrix) whose elements are (F ) = 2 , the F test statistics comparing samples S -' s '1 1 Si and 8], respectively. Suppose that you collect a single sample from three different populations, for which are given below: S1={43, 21, 35, 13, 43, 23, 11} S2={14, 17, 12, 18, 14, 15} S3={76, 74, 71, 80, 79, 75, 76, 82, 81} Find all values of the following F-statistic matrix. Round all answers to 2 decimals. F = Stat QUESTION 5 1 points Save Answer Suppose you have an Ftest decision uppertriangular matrix, H, whose elements are defined as the (greater than 1) Ftest statistic minus the upper Fcritical value. Suppose you analyze four samples drawn from four populations whose indices match their location in the matrix. Your matrix, H, is shown below: 0 0.3 1.2 1.1 0 0 0.3 1.5 0 0 0 0.4 0 0 0 0 According to these pairwise comparison results, which populations are pairwise homoscedastic to one another? Note: Before answering this question, it's important to understand (1) what each matrix element is dened as, and (2) how to interpret the element value. [3 Population 1 and Population 2 [3 Population 1 and Population 3 [3 Population 1 and Population 4 [3 Population 2 and Population 3 [3 Population 2 and Population 4 [3 Population 3 and Population 4