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# hw7 - MSPE PRODRAM Economics 506 Fall 2011 Homework 7 Due...

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MSPE PRODRAM Economics 506 Fall 2011 Homework 7 Due Tuesday December 6 at the beginning of the class A. Excel Problem: Find and graph the power functions as indicated below and test hypotheses as indicated. For each case, the y i are iid, Normal( μ unknown, σ = 200.) ZZ = last two digits of your UIN(University Identification Number). XX is the preceding two digits. Null hypothesis: H 0 : μ = ZZ + 50 Sample mean = XX 1. Test the hypothesis against the alternative H a : μ < ZZ + 50 With: n = 100. and α = 0.01 2. Same as above, but n = 25 3. Same as 1, but Test against H a : μ ≠ ZZ + 50 (not equal) (and n = 100) 4. Same as 1 above but α = 0.10 In each case: Find the rejection region. Find the value of t or z or the appropriate statistic for your test. Find the p value Find the power function and graph all four power functions on a single graph. Sample answer to Excel problem: Sample answer: mu 89 89 89 89 x bar 83 83 83 83 sigma 200 200 200 200 n 100 25 100 100 std error 20 40 20 20 alpha 0.01 0.01 0.01 0.10 look up: 0.010 0.010 0.005 0.100 t value -2.33 -2.33 -2.58 -1.28 Rejection 42.47 -4.05 37.48 63.37 Reject if less than this limits 140.52 Reject if greater than this.

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