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Let x1,..., Tn be a variable measured for units in a sample with sample variance given by s - a-2)2 T where r r, is the mean of the sample. Let u denote the mean of the population from which 2-1 the sample came.Let yi -xi - 7, for i -1,...,n. How do the values of sz and sy compare to s2 and sz? Prove your result. (More on this in the Computational section of the homework.) Let zi (zi-z)/sz for i = 1, , n. What are sl and s? Prove your result. (More on this in the Computational section of the homework.)

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n-1 n- 2 儿 An n 2 2 2

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