MAT 2377 Study Guide - Quiz Guide: Kolmogorov Space, Standardized Test, Null Hypothesis

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Hypothesis testing - sections 9-1 to 9-3 and section 9-5. Hypothesis testing is a procedure that leads us to decide if experimen- tal data supports a hypothesis concerning population(s) parameter(s). We will consider hypotheses concerning a population mean or a population proportion p. Stating the hypotheses: often the researcher would to verify a change in the unknown parameter under new experimental conditions. For exam- ple, a manufacturer of a new berglass tire claims that the mean life of the new tires are greater than the mean life of tires using the old manufacturing process. The previous mean life was 65, 000 km. Let denote the mean life of the new tires. The no change hypothesis (that we will call the null hypothesis) is h0 : = 65, 000 and the claim or research hypothesis (that we will call the alternative hypothesis) is. H0 : = 65, 000 against h1 : > 65, 000.

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