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A manufacturer of flashlight batteries claims that its batteries will last an average of = 34 hours of continuous use. Of course, there is some

A manufacturer of flashlight batteries claims that its batteries will last an average of = 34 hours of continuous use. Of course, there is some variability in life expectancy with = 3 hours. During consumer testing, a sample of 30 batteries lasted an average of only 32.5 hours. How likely is it to obtain a sample that performs this badly if the manufacturer's claim is true?

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