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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 87 minutes

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 87 minutes with a mean life of 538 minutes.

If the claim is true, in a sample of134batteries, what is the probability that the mean battery life would be greater than547.9minutes?

Round your answer to four decimal places.

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