A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 139.1-cm and a standard deviation of 2.5-cm. For shipment, 19 steel rods are bundled together. Find...

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 139.1-cm and a standard deviation of 2.5-cm. For shipment, 19 steel rods are bundled together.


Find the probability that the average length of a randomly selected bundle of steel rods is less than 139.8-cm.


P(M
< 139.8-cm)="">



Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact
z-scores or
z-scores rounded to 3 decimal places are accepted.