Question: Consider the following data set: 3 A 1 23.7 2 21.8 3 10.9 12.3 19.7 18.1 4 6.4 The corresponding model is 1 16.1

Consider the following data set: 3 A 1 23.7 2 21.8 3 10.9 12.3 19.7 18.1 4 6.4 The corresponding model is 1 16.1 14.6 - B 2 20.5 - 4 - Yijk = + i + B + ijk, where x, represents the effect of the ith level of factor A, B, represents the effect of the jth level of factor B, and ijk ~ N(0, 0). (a) Show that the hypothesis Ho: 1 = x2 = x3 = x4 is testable. Test Ho at the 5% level. Consider the following data set: 3 A 1 23.7 2 21.8 3 10.9 12.3 19.7 18.1 4 6.4 The corresponding model is 1 16.1 14.6 - B 2 20.5 - 4 - Yijk = + x + B + ijk, where x, represents the effect of the ith level of factor A, B, represents the effect of the jth level of factor B, and ijk ~ N(0, 0). (a) Show that the hypothesis Ho: 1 = x2 = 3 = x4 is testable. Test Ho at the 5% level.

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