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infection developed (Trt 3), and non infective (Trt 4).Distances flown by the mosquitoes within 24 hours were recorded. The summary data are: \bar{x}_{1}=3.6453, \quad \bar{x}_{2}=4.8753, \quad \bar{x}_{3}=5.6572, \quad \bar{x}_{4}=4.9658 \sum_{i=1} \sum_{j=1}^{J} x_{i j}^{2}=668.3276 Use the ANOVA F test at level a = 0.10 to decide whether there are any significantdifferences between true average flight times for the four treatments. a. Show hand calculations for SST, SSTT, and SSE (Formulas 10B, C, D and that xi = xị * J) b. Follow the 4-step hypothesis test outline done in class (i.e. 1 - hypothesis/significance level, 2 - test statistic, 3 - rejection region, 4 - conclusion). You can also use the p-value approach in step 3 with R command 1 - pf(F, df1, df2) where F = test statistic, df1=treatment df, and df2 = MSE df.

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