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[Solution] A steel pipefitting company claims that the yield strength of its non-tempered couplings is more variable than that of its tempered couplings.

Question: A steel pipefitting company claims that the yield strength of its non-tempered couplings is more variable than that of its tempered couplings. A random sample of nine tempered couplings has a standard deviation of 13.1 megapascals, and a similar sample of nine non-tempered couplings has a standard deviation of 25.4 megapascals. From past data, it is known that the company’s production process results in normally distributed yield strengths. Test the company’s claim at \(a=0.05.\)

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