Advanced statistics

Question

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 97.1-cm and a standard deviation of 1.8-cm. For shipment, 25 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is greater than 96.3- cm

P(M>96.3-cm)

accurate to 4 decimal places

Answer 1

(96.3-97.1)//1.8= -.8/1.8= -8/18=-4/9=-.4444 = z

Area = .6716 = 67.16% probability M>96.3 cm