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ioe265f11-Lec19

# ioe265f11-Lec19 - Lec 19 Hypothesis Testing Single Sample...

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Lec 19- Hypothesis Testing - Single Sample IOE 265 F11 1 1 Single Sample Tests: Population Mean and Proportion 2 Topics Tests of Single Population Mean I. Normal Population w/ known II. Large Sample Tests III. Normal Population w/ unknown Tests of Single Population Proportion Large Sample Test Small Sample Test

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Lec 19- Hypothesis Testing - Single Sample IOE 265 F11 2 3 Single Population Mean Tests Identifying appropriate test statistic Case USE Test Statistic Formula I known , and normal population z o II large sample, unknown knowing if normal not req'd (CLT) z o III unknown , but normal population required t o Tests of Single Population Mean n X o / n S X o / n S X o / 4 Case I: Mean -- Normal, known Null Hypothesis: Test Statistic: Alt Hypothesis Reject Region 2 / 2 / or : : : z z z z Ha z z Ha z z Ha o o o o o o o H o :  n X o / z o =
Lec 19- Hypothesis Testing - Single Sample IOE 265 F11 3 5 Case II: Mean -- Large Sample Large Sample - rule of thumb n > 40 -- for large samples, S will usually be close to . Null Hypothesis: Test Statistic: Alt Hypothesis Reject Region 2 / 2 / o o o o or : : : z z z z Ha z z Ha z z Ha o o o H o :  n S X z o o / 6 Case III: Mean -- Normal, unknown Null Hypothesis: Test Statistic: Alt Hypothesis Reject Region 1 , 1 , 2 / 1 , 2 / or : 1 , : : n o o o o n o o t t t t Ha n t t Ha t t Ha n H o :  n S X t o o /

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