A can manufacturer is very concerned about the consistency of the machines that produce cans and believes that the cans produced by machine A have a smaller variance in diameter than the variance in diameter from machine B. The sample variance of a sample of 15 cans from machine A is 0.0366. The sample variance of a sample of 20 cans from machine B is 0.0475. Test the claim using a 0.05 level of significance. Let σ₁² represent the population variance for machine A. Step 1 of 5: State the null and alternative hypotheses for the test.
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Step 1
The null hypothesis (H₀) is that the variances are equal, and the alternative hypothesis (H₁) is that the variance of machine A is smaller than the variance of machine B. In mathematical terms: Show more…
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