A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 95.2- cm and a standard deviation of 2.2-cm. For shipment, 48 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - NO 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 94.9-cm and 95.2-cm.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 95.2- cm and a standard deviation of 2.2-cm. For shipment, 48 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - NO 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 94.9-cm and 95.2-cm.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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A company produces steel rods. The lengths of the steel rods are
![A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 95.2-
cm and a standard deviation of 2.2-cm. For shipment, 48 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 94.9-cm and
95.2-cm.
d. For a bundled of 48 rods, find the probability that the average length is between 94.9-cm and 95.2-
cm.
e. For part d), is the assumption of normal necessary? Yes No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b94522a-bae3-4964-ba8a-526370d903b8%2F67a6296b-11ef-4b57-9f3b-1c338416e281%2F58ghfui_processed.png&w=3840&q=75)
Transcribed Image Text:A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 95.2-
cm and a standard deviation of 2.2-cm. For shipment, 48 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 94.9-cm and
95.2-cm.
d. For a bundled of 48 rods, find the probability that the average length is between 94.9-cm and 95.2-
cm.
e. For part d), is the assumption of normal necessary? Yes No
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