Question

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 209.5-cm and a standard deviation of 1.7-cm. For shipment, 50 steel rods are bundled together. Round all answers to four decimal places if necessary. A. What is the distribution of X ? X ~ N( , ) B.What is the distribution of ¯ x x ¯ ? ¯ x x ¯ ~ N( , ) C. For a single randomly selected steel rod, find the probability that the length is between 209.3-cm and 209.6-cm. D.For a bundled of 50 rods, find the probability that the average length is between 209.3-cm and 209.6-cm. E.(For part d), is the assumption of normal necessary? Yes No

Answer 1