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State the hypotheses, state the test statistic, state the P-value, make an decision, and state a...

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Statistics

State the hypotheses, state the test statistic, statethe P-value, make an decision, and state a conclusion.

A certain type of calculator battery has a mean lifetime of 150hours and a standard deviation of of ? = 15 hours. A company hasdeveloped a new battery and claims it has a longer mean life. Arandom sample of 1000 batteries is tested, and their sample meanlife is ?Ì…= 151.2 hours. Can you conclude that the new battery hasa longer life? Use ? = 0.01.

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