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
64	20	10
34	17	36
21	54	70
11	62	28
77		12
55		19
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

=

(f) 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

Within groups
Total

Within groups

Total

Answer 1

(a) What is the level of significance?

level of significance = ? = 1% = 0.01

(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.)

SSTOT = 8201.765

SSBET = 465.324

SSW = 7736.441

Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answers for MSBET, and MSW to two decimal places.)

d.f.BET = 2

d.f.W = 14

MSBET = 232.66

MSW = 552.60

Find the value of the sample F statistic.

F = 0.42

P value = 0.6651

Source	SS	df	MS	F	P Value
Between-treatments	465.324	2	232.66	0.42	0.6651
Within-treatments	7736.441	14	552.60
Total	8201.765	16