Consider the following measurements of blood hemoglobinconcentrations (in g/dL) from three human populations at differentgeographic locations:

population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ]

population2 = [ 15.66, 15.91, 14.41, 14.73, 15.09]

population3 = [ 17.12, 16.42, 16.43, 17.33]

Perform ANOVA to check if any of these populations havedifferent mean hemoglobin concentrations. (Assume that all theANOVA requirements such as normality, equal variances and randomsamples are met.) After you perform ANOVA perform a Tukey-Kramerpost-hoc test at a significance level of 0.05 to see whichpopulations actually have different means. As usual, round allanswers to two digits after the decimal point. (Make sure you roundoff to at least three digits any intermediate results in order toobtain the required precision of the final answers.) For anyquestions, which ask about differences in means or test statistics,which depend on differences in means provide absolute values. Inother words if you get a negative value, multiply by -1 to make itpositive.

QUESTION 1

1. For the three populations, what is the value of SSgroups in theANOVA table?

QUESTION 2

1. For the three populations, what is the value of SSerror in theANOVA table?

QUESTION 3

1. For the three populations, how many degrees of freedom are therefor the groups?  

QUESTION 4

1. For the three populations, how many degrees of freedom are therefor the error?