106 d please M..ww!!!7.14 Topic 14: Inference for More Than Two Groups: Chi-Squareand ANOVA105. Answer the following general questions about ANOVA.(a) ANOVA is used to compare thegroups.(b) For a test of three groups, the correct null hypothesis would be(i) Ho: P1 = P2 = P3(iii) Ho: 1 = μ2 = μ33.5(c) For a test of three groups, the correct alternative hypothesis would be(i) HA: P1 P2 P3(ii) Ho: M1 M2 = μ3(iii) HA: not all proportions are equal(iv) HA: not all means are equal3.02.52.0106. Use the two scenarios presented in Figure 7.12 to answer the following question about the twosources of variability in ANOVA.1.51.0(means/proportions) of at leastScenario AFigure 7.12: Within vs Between Variability in ANOVA2(d) Recall that,-(ii) Ho: p1 = P2 = P3(iv) Ho: 1 = 2 = 3OF =2.05 2.10 2.15 2.20 2.25 2.30 2.351Scenario BMSFactor=MSError2OO3127(one/two/three)(a) Which scenario provides stronger evidence that the difference in factor level means representstrue differences in the population means? Explain why in your own words.(b) Which scenario exhibits more variability within each factor level? Is this measured bySSError or SSFactor?L(c) Which scenario exhibits more variability between each factor level? Is this measured bySSError or SSFactor?Differences due to the factorDifferences due to the errorso that the more variability that is explained by the factor, the larger the test statistic.Therefore, which scenario will produce a larger test statistic?

Given that Scenario A and Scenario B are provided for within and between the variability in ANOVA.

ads togat bun si by (a) Which scenario provides stronger evidence that the difference in factor level means represents true differences in the population means? Explain why in your own words. (b) Which scenario exhibits more variability within each factor level? Is this measured by SSError or SSFactor? (c) Which scenario exhibits more variability between each factor level? Is this measured by SSError or SSFactor? (d) Recall that, F = MSFactor MSError Differences due to the factor Differences due to the error so that the more variability that is explained by the factor, the larger the test statistic. Therefore, which scenario will produce a larger test statistic?