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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 102.7-cm and a standard deviation of 1.2-cm. For shipment, 45 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 - N( c. For a single randomly selected steel rod, find the probability that the length is between 102.4-cm and 102.7-cm. d. For a bundled of 45 rods, find the probability that the average length is between 102.4-cm and 102.7-cm. e. For part d), is the assumption of normal necessary? Yes No

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 102.7-cm and a standard deviation of 1.2-cm. For shipment, 45 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 - N( c. For a single randomly selected steel rod, find the probability that the length is between 102.4-cm and 102.7-cm. d. For a bundled of 45 rods, find the probability that the average length is between 102.4-cm and 102.7-cm. e. For part d), is the assumption of normal necessary? Yes No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 102.7-cm and a standard deviation of 1.2-cm. For shipment, 45 steel rods are bundled together. Round all answers to four decimal places if necessary.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 102.7-cm and a standard deviation of 1.2-cm. For shipment, 45 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 NO c. For a single randomly selected steel rod, find the probability that the length is between 102.4-cm and 102.7-cm. d. For a bundled of 45 rods, find the probability that the average length is between 102.4-cm and 102.7-cm. e. For part d), is the assumption of normal necessary? Yes No
Transcribed Image Text:A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 102.7-cm and a standard deviation of 1.2-cm. For shipment, 45 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 NO c. For a single randomly selected steel rod, find the probability that the length is between 102.4-cm and 102.7-cm. d. For a bundled of 45 rods, find the probability that the average length is between 102.4-cm and 102.7-cm. e. For part d), is the assumption of normal necessary? Yes No
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