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True mean range of the manufacturer

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A manufacturer claims that the calling range (in feet) of its BOO-MHZ cordless telephone is greater than that of its leading competitor. A sample of 9 phones from the manufacturer had a mean range of 1350 feet with a standard deviation of 42 feet. A sample of 17 similar phones from its competitor had a mean range of 1280 feet with a standard deviation of 28 feet. Do the results support the manufacturer's claim? Letp1 be the true mean range of the manufacturer's cordless telephone and p2 be the true mean range of the competitor's cordless telephone. Use a signi?cance level of a = 0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.

Reference no: EM131555466

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