Duracell Battery Company claims that their rechargeable batteries will charge at least 708 times before dying out and needing to be replaced. A sample of 10 rechargeable Duracell batteries are tested, and the number of charges of each before needing to be replaced is as follows: 670, 690, 800, 720, 660, 650, 560, 540, 600, 730. At 5% significance level, test whether Duracell Battery Company’s claim is true. Assume that the distribution of the charges of a rechargeable battery are normally distributed.

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Duracell Battery Company claims that their rechargeable batteries will charge at least 708 times before dying out and needing to be replaced. A sample of 10 rechargeable Duracell batteries are tested, and the number of charges of each before needing to be replaced is as follows:

670, 690, 800, 720, 660, 650, 560, 540, 600, 730.

At 5% significance level, test whether Duracell Battery Company’s claim is true. Assume that the distribution of the charges of a rechargeable battery are normally distributed.

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