Question

There 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
63	29	18
38	19	34
24	57	69
15	66	26
78		16
53		16
24

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?

b. Find SS_TOT, SS_BET, and SS_W and check that SS_TOT = SS_BET + SS_W. (Round your answers to three decimal places.)

SSTOT	=
SSBET	=
SSW	=

Find d.f._BET, d.f._W, MS_BET, and MS_W. (Round your answers for MS_BET, and MS_W to two decimal places.)

d.f.BET	=
d.f.W	=
MSBET	=
MSW	=

Find the value of the sample F statistic. (Round your answer to two decimal places.)


What are the degrees of freedom?

d.f.N	=
d.f.D	=

c. Make a summary table for your ANOVA test. (Round your answers for SS to three decimal places, your MS and F Ratio to two decimal places, and your P-value to four decimal places.)

Source of Variation	Sum of Squares	Degrees of Freedom	MS	F Ratio	P-Value	Test Decision
Between groups
Within groups
Total

Answer 1

a) Level of significance =1 % = 0.01

b) SSTOT = 7446.941

SSBET = 610.501

SSW = 6836.440

d.f_BET = 2

d.f_W = 14

MS_BET = 305.25

MS_W = 488.32

F statistic = 0.63

d.fN = 2

d.fD= 14

Test decision : Fail to reject H0.

Conclusion : There is no difference in population mean Mimbres classic black-on-white sherd counts for the three sites.

Hope this will help you. Thank you :)

We were unable to transcribe this image

Anova: Single Factor SUMMARY Groups Count Site I Site II Site III SumAverage Variance 295 42.14286541.8095 171 42.75 498.9167 179 29.83333 417.7667 7 4 ANOVA Source of Variation Between Groups Within Groups MS P-value F crit 610.501 2 305.25 14 488.32 0.63 0.5495 3.738892 6836.440 Total 7446.941 16