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Suppose that a manufacturer of optical fiber is interested in determining if the average strength of a fiber is more than 800kpsi. Explain what a Type II error would mean.

A bone marrow test is used to diagnose leukemia. A doctor looks at the sample taken from the bone marrow and determines if the person has leukemia. Suppose that the null hypothesis is that there is no disease. Explain what a Type I error would mean.

Why are paired t-tests more powerful than independent-samples t-tests?

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