Suppose a batch of steel rods produced at a steel plant have a mean length of 16

Question

Suppose a batch of steel rods produced at a steel plant have a mean length of 164 millimeters and a variance of 121. If 287 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than .56 millimeters? Round your amswer to 4 decimal places. Suppose a batch of steel rods produced at a steel plant have a mean length of 164 millimeters and a variance of 121. If 287 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than .56 millimeters? Round your amswer to 4 decimal places.

Explanation / Answer

P( z < 0.56 / srqt ( 121 / 287 ) )

P( z< 0.86 ) = 1 - 0.1949 = 0.8051

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