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A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 77 minutes

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 77 minutes with a mean life of 551 minutes.

If the claim is true, in a sample of135 batteries, what is the probability that the mean battery life would differ from the population mean by less than2.4minutes? Round your answer to four decimal places.

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