Question

Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 12 15 33 11 21 5 18 16 6 36 16 10 19 7 47 39 14 29 16 10 13 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 5% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: μ1 = μ2 = μ3 = μ4; H1: All four means are different. Ho: μ1 = μ2 = μ3 = μ4; H1: Exactly two means are equal. Ho: μ1 = μ2 = μ3 = μ4; H1: Not all the means are equal. Ho: μ1 = μ2 = μ3 = μ4; H1: Exactly three means are equal. (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

Answer 1

Siven Site T 12 21 Stte IV Site Ⅱ IS 5 3 6 Ste T1 ) 6 IO 31 16 IS 18 16 19 29 1O a) levd of Senifi cance o.S tto : 4:4-.us® 시 u H4 not all the means gial 2 SSTOT Sum of the Squaned Obsen vation- (Sum of the bbsenvations ith CS Total numbon of obSovationg

Site Mear & T 14.4 HL28.5 IV 17-83 SSBET = 498, 2454 S8ω = 2043.01 MSGET 166.0818 H58E T F 166.08(8 F,3819 Herce povc CS