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4. Again assume X1, . . .,Xn i131 Expo(0), with plans to test H0 : 6 = 90 vs. H1 : 9 = 01. a)

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4. Again assume X1, . . .,Xn i131" Expo(0), with plans to test H0 : 6 = 90 vs. H1 : 9 = 01. a) The distribution of W 2 2710)? for a given value 0 is Gamma(n,1/2), which is the same as Chisquare(2n). Use this representation and qchisq or qgamma (or a Chi-square table) to nd a general formula for AG in terms of an arbitrary 60, again with n = 10, a = 0.05, and 61 > 60. b) Suppose our observed average is is = 2.17. What values 60 would not be rejected at a = 0.05 for the given hypotheses? This set of values represents a 1sided 95% condence interval for 0

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