Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 19 16 30 13 29 3 21 15 1 30 18 10 21 3 46 35 12 27   14   17   17 Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 1% level of significance. (a) What is the level of significance?   (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT =   SSBET =   SSW =   Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.) dfBET =   dfW =   MSBET =   MSW =   Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedom? ?(numerator) ?(denominator) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)   (f) Make a summary table for your ANOVA test. Source of Variation Sum of Squares Degrees of Freedom MS F Ratio P Value Test Decision Between groups ? ? ? ? ?   Within groups ? ? ?       Total ? ?

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