Stat 5132 (Geyer) Old Final Exam

# Stat 5132 (Geyer) Old Final Exam - Up Stat 5132 Problem 1...

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Up: Stat 5132 Problem 1 Assume X 1 , , X 20 are i. i. d. .The observed value of is 23.6. Perform a one-tailed test of the hypotheses versus ,finding the P -value. Problem 2 Two groups in physics lab have been measuring the density of aluminum at room temperature ( C). They got the following summary statistics n S n Group I 10 2.792 0.241 Group II 8 2.538 0.313 (Units are grams per cubic centimeter.) Assume the measurements for group I are i. i. d. and the measurements for group II are i. i. d. .We want to perform a test of versus .Perform Welch's approximate test, come as close as you can to the P -value. Problem 3 We intend to collect a series of i. i. d. measurements and conduct a test of versus ,where is the expected value of the measurements. The sample size will be large enough so that we can use the ``large sample'' z -test. Preliminary studies suggest that the standard deviation of the measurements is about 4. What sample size do we need to have power 0.90 at for a test of size ?

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Stat 5132 (Geyer) Old Final Exam - Up Stat 5132 Problem 1...

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