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.

hi do you need an answer for your question?

step-by-step explanation:

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.