Let independent random samples of sizes n and m be taken respectively from two normal
Chapter 8, Problem 8.7-9(choose chapter or problem)
Let independent random samples of sizes n and m be taken respectively from two normal distributions with unknown means X and Y and unknown variances 2 X and 2 Y . (a) Show that when 2 X = 2 Y , the likelihood ratio for testing H0: X = Y against H1: X = Y is a function of the usual two-sample t statistic. (b) Show that the likelihood ratio for testing H0: 2 X = 2 Y against H1: 2 X = 2 Y is a function of the usual two-sample F statistic.
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