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1. Students at De Anza College who are required to take Algebra and want to complete Statistics will go into one of three programs: Regular Math 212, MPS Math 212 or Math217 (Statway). A sample of 200 students was taken with the success rates shown below. Is there a difference in success rates due to the program? Test using a = 1%. Observed Successfully successfully Did not successfully Expected Completed all completed some complete any classes classes including classes but did not TOTAL Chi-Sq Statistics complete Statistics Regular Math 212 35 30 55 120 MPS Math 212 30 20 10 60 Math 217 Statway 5 10 5 20 TOTAL 70 GO 70 200 a. What is the explanatory variable? b. What is the response variable? c. State Ho and Ha d. Determine the Model e. Determine the degrees of freedom and Decision Rule. (p-value Method) f. Determine the test statistic and make your decision (fill in the expected values and each cells contribution to the chi-square for the 9 cells. Then add up to get the test statistic.) Use the p-value calculator. g. Write the Conclusion.Are there Differences between Pain Relievers? 2. An experiment was conducted to compare five treatments for reducing fever. Thirty-five patients were randomly assigned into five treatment groups. The patients' temperatures were taken two hours after receiving the treatment, and are given below. We will test the claim that there is no difference in mean body temperature among each of the five treatment groups using a 5%% significance level. Because of the requirements for this test, we assume that independent samples were drawn from normal populations with equal variances. Placebo Aspirin Anacin Tylenol Bufferin 98.3 97.2 95.1 96.1 98.7 96.6 97.4 95.7 96.5 95.1 96.9 94.4 95.4 99.9 98.1 97.B 97.2 98.2 96.2 94.6 94.7 93.7 94.5 96.6 97.0 45.7 98.3 96.2 96.8 95.1 96.2 a. What is the numeric response variable? b. What is the categorical factor variable? c. identify the levels of the factor and determine the value of k. d. Determine the replicates per level and the total sample size. Is the design balanced or unbalanced? e. State the Null and Alternative Hypotheses in words. f. State the Null and Alternative Hypotheses using population parameters. g. Determine the sample mean for each type of pain reliever. Identify the pain relievers with the highest and lowest means.h. Complete the Missing Values of the ANOVA table Source of Sum of Squares Degrees of Mean Square p-value Variation (SS) Freedom (df) (MS) Factor 34.63 0.001 (Between) Error 35.63 (Within) Total 70.26 i. At the .05 significance level, would you reject or fail to reject the Null Hypothesis? j. State your conclusion in the context of the problem. k. Here is Minitab output showing the results of Tukey Pairwise Comparisons all 10 pairwise comparisons using a Tukey HSD Grouping Information Using the Tukey Method and 95% Confidence test. Which pairs of pain relievers show a Treatnont Moan Grouping Placabo 7 significant difference in mean temperature? Anacin 7 90.029 AD Dufferin 7 90.200 Aspirin 06, 200 Tylenol $5.300 Means that do not share a letter are significantly different