There is an archaeological study area located in southwestern New Mexico. Potshe
ID: 2909144 • Letter: T
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.
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 SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.)
Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answers for MSBET, and MSW to two decimal places.)
Find the value of the sample F statistic. (Round your answer to two decimal places.)
What are the degrees of freedom?
=
(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
F
Ratio
Within groups
Site I Site II Site III 64 20 10 34 17 36 21 54 70 11 62 28 77 12 55 19 24Explanation / Answer
(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 16Related Questions
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