Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology ). At four different sites in the Wind Mountain archaeological region, the number of such...


Another type of painted ceramic vessel is called
three-circle red-on-white
(
Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations.

















































Site I

Site II

Site III

Site IV
15133815
2222021
4311513
1574434
172312
1112


Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance.


(a) What is the level of significance?


(b) Find
SSTOT, SSBET
, and
SSW

and check that
SSTOT
= SSBET
+ SSW
. (Use 3 decimal places.)



















SSTOT

=

SSBET

=

SSW

=


Find
d.f.BET, d.f.W, MSBET
, and
MSW
. (Use 3 decimal places for
MSBET
, and
MSW
.)
























dfBET

=

dfW

=

MSBET

=

MSW

=


Find the value of the sample
F
statistic. (Use 3 decimal places.)




What are the degrees of freedom?
?(numerator)
?(denominator)


(c) Find the
P-value of the sample test statistic. (Use 4 decimal places.)


(f) Make a summary table for your ANOVA test.








































Source of
Variation
Sum of
Squares
Degrees of
Freedom

MS

F

Ratio

P
Value
Test
Decision
Between groups????? Do not reject H0.
Within groups???
Total??



Jun 06, 2022
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