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.