Question

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 127.8-cm and a standard deviation of 1.6-cm. For shipment, 16 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 126.7-cm. P(M > 126.7-cm) = Enter your answer as a number accurate to 4 decimal places.

Answer 1

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Note : For sampling distribution for n = 16, mean will remains equal to population mean as per CLT (Central limit theorem) and std. dev is equal to population std. dev. divided by square root of sample size.