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 9

1. What is the standard error of the difference between the meansof population 1 and population 2, needed to calculate theTukey-Kramer q-statistic?

QUESTION 10

1. What is the Tukey-Kramer q-statistic for populations 1 and 2?(Report the absolute value, if you get a negative number, multiplyby -1)

QUESTION 11

1. What is the standard error of the difference between the meansof population 1 and population 3, needed to calculate theTukey-Kramer q-statistic?

QUESTION 12

1. What is the Tukey-Kramer q-statistic for populations 1 and 3?(Report the absolute value, if you get a negative number, multiplyby -1)