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...

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.

(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.)

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.)

Find the value of the sample
F
statistic. (Round your answer to two decimal places.)




What are the degrees of freedom?

(c) Find the
P-value of the sample test statistic. (Round your answer to four decimal places.)