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A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a

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A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes. If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be greater than 526.4 minutes? Round your answer to four decimal places

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