A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round answers to four decimal places if necessary. a. What is the distribution of X? X- N( 232.3 V, 0.6 b. What is the distribution of ? a- N( 232.3 0.1664 c. For a single randomly selected steel rod, find the probability that the length is between 232.4-cm and 232.5-cm. 0.0618 d. For a bundled of 13 rods, find the probability that the average length is between 232.4-cm and 232.5-cm. 0.079 e. For part d), is the assumption of normal necessary? Yes No o Yes
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 232.3-cm and a standard deviation of 0.6-cm. For shipment, 13 steel rods are bundled together. Round answers to four decimal places if necessary. a. What is the distribution of X? X- N( 232.3 V, 0.6 b. What is the distribution of ? a- N( 232.3 0.1664 c. For a single randomly selected steel rod, find the probability that the length is between 232.4-cm and 232.5-cm. 0.0618 d. For a bundled of 13 rods, find the probability that the average length is between 232.4-cm and 232.5-cm. 0.079 e. For part d), is the assumption of normal necessary? Yes No o Yes
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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