A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 246.3- cm and a standard deviation of 0.8-cm. For shipment, 13 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 a? a- N( c. For a single randomly selected steel rod, find the probability that the length is between 246.4-cm and 246.6-cm. d. For a bundled of 13 rods, find the probability that the average length is between 246.4-cm and 246.6- cm. e. For part d), is the assumption of normal necessary? Yes No

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.