Wind Mountain is an archaeological study area located in southwestern New Mexico

Question

Wind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III 68 26 10 33 15 32 26 52 71 18 69 28 81 12 54 10 21 Shall we reject or not reject the claim that there is no difference in population mean Mimbres classic black-on-white sherd counts for the three sites? Use a 5% level of significance (a) What is the level of significance? State the null and alternate hypotheses. H_o: mu_1 = mu_2 = mu_3; H_1: Exactly two means are equal H_o: mu_1 = mu_2 = mu_3; H_1: All three means are different. H_o: mu_1 = mu_2 = mu_3; H_1: Not all the means are equal. H_o: mu_1 = mu_2 = mu_3; H_1 At least two means are equal. b) Find the value of the sample F statistic. (Use 2 decimal places.) ________ (c) Find the P-value of the sample test statistic. (Use 4 decimal places.) _______

Explanation / Answer

b)F stat =0.75

c) P value =0.4920

Groups Count Sum Average Variance site 1 7 301 43 614.6667 site 2 4 162 40.5 601.6667 site 3 6 163 27.16667 552.9667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 880.6373 2 440.3186 0.746499 0.491981 3.738892 Within Groups 8257.833 14 589.8452 Total 9138.471 16

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