Question

3. In a study, mosquitoes were divided into four groups of seven mosquitoes each: infected rhesus and sporozites present (Trt 1), infective rhesus and oocysts present (Trt 2), infective rhesus and no infection developed (Trt 3), and noninfective (Trt 4). Distances flown by the mosquitoes within 24 hours were recorded. The summary data are:

?1̅. = 3.7453, ?̅2. = 4.7953, ?̅3. = 5.5472, ?̅4. = 4.8658, ∑∑??? 2 = 683.3276

Use the ANOVA F test at level  = 0.10 to decide whether there are any significant differences between true average flight times for the four treatments.

A. Show hand calculations for SST, SSTr, and SSE (Formulas 10B, C, D and that ??. = ?̅?. ∗ ?)

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.

please answer the full question and hand calculations for part A. not excel please.

Answer 1