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 67 26 19 32 13 35 21 59 72 13 60 28 75 12 56 10 25 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. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT = ? SSBET = ? SSW = ? Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answers for MSBET, and MSW 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) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
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 |
67 | 26 | 19 |
32 | 13 | 35 |
21 | 59 | 72 |
13 | 60 | 28 |
75 | 12 | |
56 | 10 | |
25 |
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.
(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.)
SSTOT | = | ? |
SSBET | = | ? |
SSW | = | ? |
Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answers for MSBET, and MSW 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) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
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