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Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no larger than 0.2 amp. One of

Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no larger than 0.2 amp. One of these ammeters was used to make 14 independent readings on a test circuit with constant current. If the sample variance of these 14 measurements is 0.068, and it is reasonable to assume that the readings are normally distributed. Find the approximate probability that the sample variance will exceed 0.068 if the true population variance is 0.04.

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