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 68 23 14 30 19 38 20 55 67 19 68 22 81   10 50   19 23     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 =  (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     Between groups             Within groups             Total

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
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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
68 23 14
30 19 38
20 55 67
19 68 22
81   10
50   19
23    

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

SSTOT =  
SSBET =  
SSW =  


Find d.f.BETd.f.WMSBET, 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

(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
   
Between groups            
Within groups            
Total      
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