Ammeters produced by a manufacturer are marketed under the specification that the

Chapter 7, Problem 7.19

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QUESTION:

Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no larger than .2 amp. One of these ammeters was used to make ten independent readings on a test circuit with constant current. If the sample variance of these ten measurements is .065 and it is reasonable to assume that the readings are normally distributed, do the results suggest that the ammeter used does not meet the marketing specifications? [Hint: Find the approximate probability that the sample variance will exceed .065 if the true population variance is .04.]

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QUESTION:

Ammeters produced by a manufacturer are marketed under the specification that the standard deviation of gauge readings is no larger than .2 amp. One of these ammeters was used to make ten independent readings on a test circuit with constant current. If the sample variance of these ten measurements is .065 and it is reasonable to assume that the readings are normally distributed, do the results suggest that the ammeter used does not meet the marketing specifications? [Hint: Find the approximate probability that the sample variance will exceed .065 if the true population variance is .04.]

ANSWER:

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Given that,

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 n = 10 independent readings on a test circuit with constant current. The sample variance   of these ten measurements is 0.065 and it is reasonable to assume that the readings are normally distributed.

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