A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 166.4-cm and a standard deviation of 1.3-cm. For shipment, 14 steel rods are bundled together.

Find the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 167.4-cm.

P(barX > 167.4-cm) =

Round to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.