Consider the following measurements of blood hemoglobin concentrations (in g/dL) from three human populations at different geographic 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 have different mean hemoglobin concentrations. (Assume that all the ANOVA requirements such as normality, equal variances and random samples are met.) After you perform ANOVA perform a Tukey-Kramer post-hoc test at a significance level of 0.05 to see which populations actually have different means. As usual, round all answers to two digits after the decimal point. (Make sure you round off to at least three digits any intermediate results in order to obtain the required precision of the final answers.) For any questions, which ask about differences in means or test statistics, which depend on differences in means provide absolute values. In other words if you get a negative value, multiply by -1 to make it positive.
QUESTION 3 PART A- If you run ANOVA on the data for the three populations, what is the F-ratio?
QUESTION 3 PART B- If you run ANOVA on the data for the three populations, what is the range of the P-value?