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 classic black-on-white. At three different sites, the number of such sherds was counted in local dwelling excavations painted ceramic vessel is called Mimbres Site I Site III Site II 65 26 13 35 17 37 21 55 70 14 66 22 77 17 56 10 22 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 1% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: Au1 AL3; H1: At least two means are equa o Ho: H1-uz- AL3; H1: All three means are different O Ho: AL1 A13; H1: Not all the means are equal O Ho: Au1 Au2- A13; H Exactly 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

a) Level of significance = 0.01

Ho: µ1 = µ2 = µ3; H1: Not all the means are equal.

Option C is correct.

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

b) F statistic = 0.60

c) P - value = 0.5627

d) Option A is correct.

e) Option A is correct.

Column n Mean Std. Dev. Std. Error Site I 7 41.428571 24.56866 9.2860806 Site II 4 41 23.25224 11.62612 Site III 6 28.166667 22.586869 9.2210508

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