What are the mean and standard deviation for the population of the lengths of the steel bars X? Mean, Standard Deviation = What are the mean and standard deviation for the distribution of all sample means ¤ of size n=38 ? Give 6 decimal places if necessary. Mean, Standard Deviation = For one single randomly selected steel rod, find the probability that the length is between 183.9-cm and 184.2-cm.
What are the mean and standard deviation for the population of the lengths of the steel bars X? Mean, Standard Deviation = What are the mean and standard deviation for the distribution of all sample means ¤ of size n=38 ? Give 6 decimal places if necessary. Mean, Standard Deviation = For one single randomly selected steel rod, find the probability that the length is between 183.9-cm and 184.2-cm.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The Maxwell Steel Company in Philadelphia produces steel rods. The lengths of the steel rods are normally distributed with a mean of 183.7 cm and a standard deviation of 2.2 cm. For shipment, 38 steel rods are bundled together.
a. What are the mean and standard deviation for the population of the lengths of the steel bars \( X \)?
- Mean, Standard Deviation = [___], [___]
b. What are the mean and standard deviation for the distribution of all sample means \( \bar{x} \) of size \( n=38 \)?
- Give 6 decimal places if necessary.
- Mean, Standard Deviation = [___], [___]
c. For one single randomly selected steel rod, find the probability that the length is between 183.9 cm and 184.2 cm.
- [___]
- Round all answers to four decimal places if necessary.
d. For a bundled shipment of 38 rods, find the probability that the average length is between 183.9 cm and 184.2 cm.
- [___]
- Round all answers to four decimal places if necessary.
e. For the calculation in part c, is the assumption of "normal" necessary?
- ☐ No ☒ Yes
f. For the calculation in part d, is the assumption of "normal" necessary?
- ☒ Yes ☐ No](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F453dfc5d-7095-461f-b703-2b986ba42039%2F1f130a45-16b9-4c4c-be77-c3b9e04be2ed%2F9t05qle_processed.png&w=3840&q=75)
Transcribed Image Text:The Maxwell Steel Company in Philadelphia produces steel rods. The lengths of the steel rods are normally distributed with a mean of 183.7 cm and a standard deviation of 2.2 cm. For shipment, 38 steel rods are bundled together.
a. What are the mean and standard deviation for the population of the lengths of the steel bars \( X \)?
- Mean, Standard Deviation = [___], [___]
b. What are the mean and standard deviation for the distribution of all sample means \( \bar{x} \) of size \( n=38 \)?
- Give 6 decimal places if necessary.
- Mean, Standard Deviation = [___], [___]
c. For one single randomly selected steel rod, find the probability that the length is between 183.9 cm and 184.2 cm.
- [___]
- Round all answers to four decimal places if necessary.
d. For a bundled shipment of 38 rods, find the probability that the average length is between 183.9 cm and 184.2 cm.
- [___]
- Round all answers to four decimal places if necessary.
e. For the calculation in part c, is the assumption of "normal" necessary?
- ☐ No ☒ Yes
f. For the calculation in part d, is the assumption of "normal" necessary?
- ☒ Yes ☐ No
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