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A manufacturer of batteries for portable hand tools wishes to investigate the length of time a battery will last between charges at a fixed load.

A manufacturer of batteries for portable hand tools wishes to investigate the length of time a battery will last between charges at a fixed load. A sample of 12 batteries had a mean length of time of 4.3 hours with a standard deviation of 0.25 hours. Construct a 95 percent confidence interval for the population mean. Is it reasonable for the manufacturer to claim that the batteries will last 4.25 hours? How about 5 hours?

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