Perform a One-Way ANOVA to test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance. 1) Random samples of four different models of cars were selected and the gas mileage of each 1) car was measured. The results are shown below. Model A Model B Model C Model D 23 28 30 25 25 26 28 26 24 29 32 25 26 30 27 28 Test the claim that the four different models have the same population mean. Use a significance level of 0.05. State the null and alternative hypothesis. Show all work (If you use any technology in your solution (TI-84, excel, SPSS, minitab, etc...), cite when/where.). State the conclusion from your analysis. Is a Tukey-Kramer procedure applicable? If so, apply a Tukey-Kramer procedure and state the conclusion. A researcher wishes to test the efficacy of three different weight loss programs. after two weeks of following the programs. Random independent samples of participants in each program are taken with their net weight losses (in pounds) recorded. Assume participants follow the programs throughout the duration of the 2-week program period. Assume that the populations from which these samples are drawn are normally distributed. Run Levene's Test for Homogeneity to test the equal variances assumption required to run a One-Way ANOVA. Show all work (If you use any technology in your solution (TI-84, excel, SPSS, minitab, etc...), cite when/where.). State the null and alternative hypothesis for this test. Compute the associated test statistic for this test. Based on the result obtained from Levene's Test, is a One-Way ANOVA applicable to test for different population mean weight losses from these programs after two weeks participation (explain)? If YES, then perform a One-Way ANOVA and show ALL associated work from the statement of the null and alternative hypotheses to the conclusion of the One-Way ANOVA. If NO, state that One-Way ANOVA is not applicable. 2) The data below represent the weight losses for people on three different programs. 2) Program A Program B Program C 2.5 5.8 4.3 8.8 4.9 6.2 7.3 1.1 5.8 9.8 7.8 8.1 5.1 1.2 7.9