Question: Among the nine persons interviewed in a poll three are
Among the nine persons interviewed in a poll, three are Easterners, three are Southerners, and three are Westerners. By profession, three of them are teachers, three are lawyers, and three are doctors, and no two of the same profession come from the same part of the United States. Also, three are Democrats, three are Republicans, and three are Independents, and no two of the same political affiliation are of the same profession or come from the same part of the United States. If one of the teachers is an Easterner and an Independent, another teacher is a Southerner and a Republican, and one of the lawyers is a Southerner and a Democrat, what is the political affiliation of the doctor who is a Westerner? This exercise is a simplified version of a famous problem posed by R.A. Fisher in his classical work, The Design of Experiments.
Answer to relevant QuestionsThe experiment described in Exercise 15.23 was repeated, with the following results. Combining these data with those of Exercise 15.23, perform an appropriate analysis of variance to test the null hypotheses involving fuels, ...Perform a multiple-range test to determine the nature of the differences among the three detergents in Example 15.1. Use the 0.01 level of significance. The sample data in the following Latin square are the scores obtained by nine college students of various ethnic backgrounds and various professional interests in an American history test: In this table, A, B, and C are the ...Show that for a = 2 the F test of a one- way analysis of variance is equivalent to the t test of Section 13.3 with d = 0 and the alternative hypothesis µ1 – µ2 ≠ 0. Find the probability that n1 = 6 letters of one kind and n2 = 5 letters of another kind will form at least 8 runs.
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