The data in Table 10.5.4 represent the mean serum cholesterol levels (given in milligrams per deciliter) by race and age in the United States from 1978 to 1980
Table 10.5.4

(a) Test at the 0.01 level whether the true mean cholesterol levels for all races in the United States during 1978€“1980 are the same.
(b) If there is a difference, use Tukey€™s method to find which of the races are different with respect to the mean cholesterol levels.

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Race Age 20-24 180 180 25-34 199 199 199 35-44 45-54 55-64 65-74 All races White Black 217 217 218 2 221 229 217