Transcription of Tests of Hypotheses Using Statistics
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Tests of Hypotheses Using Statistics
Tests of Hypotheses Using StatisticsAdam Massey and Steven J. Miller Mathematics DepartmentBrown UniversityProvidence, RI 02912 AbstractWe present the various methods of hypothesis testing that one typically encounters in amathematical Statistics course. The focus will be on conditions for Using each test, the hypothesistested by each test, and the appropriate (and inappropriate) ways of Using each test. Weconclude by summarizing the different Tests (what conditions must be met to use them, whatthe test statistic is, and what the critical region is).Contents1 Types of Hypotheses and Test Introduction .. Types of Hypotheses .. Types of Statistics .. 32z- Tests Testing Means I: Large Sample Size or Known Variance .. Testing Means II: Small Sample Size and Unknown Variance .. 93 Testing the Variance124 Testing Testing Proportions I: One Proportion .. Testing Proportions II: K Proportions .. Testingr cContingency Tables .. Incompleter cContingency Tables Tables.
Tests of Hypotheses Using Statistics ... To this end, we will examine each statistical test commonly taught in an introductory mathematical statistics course, stressing the conditions under which one could use each test, the types of hypotheses that can be tested by each test, and the appropriate way to use each test. ...
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