Wind Mountain 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 28 47 46 54 22 27 44 65 40 16 56 22 21 17 58 36 state the null hypothesis

The null hypothesis would be

H0: μ1=μ2=μ3     (all the means of the three sites are equal)

Step-by-step explanation:

Site I          Site II          Site III

28                47               46

54                22               27

44                65               40

16                 56               22

21                 17                58

36

The null hypothesis would be

H0: μ1=μ2=μ3     (all the means of the three sites are equal)    against the claim

Ha:  μ1≠μ2≠μ3  (all the means of the three sites are not equal)

Which if H0 is true, has an F -distribution with v1=k-1 and v2= n-k degrees of freedom.

ANOVA (one way of analysis of variance ) can be applied to test this hypothesis.