A psychosociological questionnaire was administered to a random sample of 200 persons on an island in the South Pacific that has become increasingly westernized over the past 30 years. From the questionnaire data, each of the 200 persons was classified into one of three groups€”HI-POS, NO-DIF, and HI-NEG€”according to the discrepancy between the amount of prestige in that person's traditional culture and the amount of prestige in the modern (westernized) culture. On the basis of the questionnaire data, a measure of anomie (i.e., social disorientation), denoted as Y, was determined on a 100-point scale, with the results summarized in the following table.

a. Determine the appropriate ANOVA table.
b. Test whether the three different categories of prestige discrepancy have significantly different sample mean anomie scores.
c. How would you test whether a significant difference exists between the NO-DIF category and the other two categories combined?

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Group li S, HI-POS NO-DIF HI-NEG 50 75 75 65 50 10