8-6 Testing a claim about a standard deviation or variance

8-6 Testing a claim about a standard deviation or variance...

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8-6: Testing a claim about a standard deviation or variance In section 7.5 we used the chi-square distribution to help us construct confidence intervals about the population variance and standard deviation. Here, we will use the chi-square distribution to perform hypothesis test about the population standard deviation σ. Recall the following from section 7.5. χ 2 (chi-square) distribution Suppose we take a random sample of size n from a normal population with mean µ and standard deviation σ. Then the sample statistic follows a χ 2 distribution with n-1 degrees of freedom, where s 2 represents the sample variance. Just like our hypothesis tests about the population mean and the population proportion, there are three forms for the hypothesis test about the population standard deviation σ. The notation σ 0 refers to the value of σ to be tested. Form Null and alternative hypotheses Right-tailed test, one-tailed test H 0 : σ σ 0 H 1 : σ > σ 0 _____________________________________________________________________________________________ Left-tailed test, one-tailed test
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This note was uploaded on 04/16/2010 for the course MATHEMATIC 1231 taught by Professor Driscoll during the Spring '10 term at Clayton College of Natural Health.

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8-6 Testing a claim about a standard deviation or variance...

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