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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 222.5-cm and a standard deviation of 1.4-cm. For shipment, 14 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is greater than 223.2-cm. 

P(¯x > 223.2-cm) = 

Enter your answer as a number accurate to 4 decimal places.

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