0 / 1 pts Which arrangment below correctly orders the procedures from most powerful to least? Wilcoxon Sign Rank test, Chi-Squared test for independence, One Proportion Z-test Kruskal-Wallis, Friedman Fr-test. ANOVA CRD Wilcoxon Rank Sum, Wilcoxon Sign Rank test, Independent t-test The independent Sample Z-test, The independent sample t-test, The Wilcoxon Rank SumHow do fever: begin fa some this using R sfatfstkaf software? F. random sample of eight pairs of twins was randomly.r assigned to treatment A or treatment B. The data are given in the following table: "HIE .m. A B What is the pvalue of the 1|."v.l'il4:oxon signedrank test? Is there any significant evidence that the two treatments differ using an o = [105 and 1|."vr'ilazoxon-signed rank test. l'L'Zomrzrare the pvalue of the 1|."vr'ilcoxon-signed rank test and paired ttest. Construct the one-way ANOVA table. 9) A one-way ANOVA is to be performed. Independent random samples are selected 9) from three different populations. The sample data are given in the table below. ABC Construct the one-way ANOVA table for the data.[Questions 1-4] In Ability, Gender, and Performance Standards: Evidence from Academic Probation, Jason M. Lindo, Nicholas J. Sanders, and Philip Oreopoulos find evidence using regression discontinuity methods that being placed on academic probation increases the probability that a student voluntarily leaves the university. Figure I below shows the estimated discontinuity in probation status at the end of the first year, and Figure 2 shows the impact of being placed on academic probation on the decision of male students to permanently leave the university at the end of their first year. Figure 1 Figure 2 Men 0.2 Probation status Left university voluntarily 50.1 -1.50 Fire your GPA minus probation cutoff -1.50 -1.00 -0.50 0.00 0.50 1.00 1.50 First year GPA minus probation cutoff 1) Why doesn't the mean difference between the rates of voluntary leaving for students placed on probation and those not placed on probation provide an unbiased estimate of the effect of being placed on probation? (3 points) 2) Based on Figure 1, which type of RD do you think this study is using, sharp or fuzzy RD? Explain the difference between the two. (2 points) 3) Briefly explain why the regression discontinuity estimates provide an unbiased estimate of the effect of being placed on probation? (3 points) 4) In this study, GPA is used as a running variable. Describe the role of the running variable in a sharp regression discontinuity design. (2 points)