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A manufacturer of potato chips would like to know whether its bag filling machine works correctly...

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 412.0 gram setting. Based on a 37 bag sample where the mean is 417.0 grams, is there sufficient evidence at the 0.02 level that the bags are overfilled? Assume the standard deviation is known to be 28.0.

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