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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 118.2-cm and a standard deviation of 1.5-cm. For shipment, 50 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 a of size n=50 ? 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 117.9-cm and 118-cm. Round all answers to four decimal places if necessary. d. For a bundled shipment of 50 rods, find the probability that the average length is betweer 117.9-cm and 118-cm. Round all answers to four decimal places if necessary. e. For the calculation in part c, is the assumption of "normal" necessary? O NoO Yes f. For the calculation in part d, is the assumption of "normal" necessary? NoO Yes

The Maxwell Steel Company in Philadelphia produces steel rods. The lengths of the steel rods are normally distributed with a mean of 118.2-cm and a standard deviation of 1.5-cm. For shipment, 50 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 a of size n=50 ? 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 117.9-cm and 118-cm. Round all answers to four decimal places if necessary. d. For a bundled shipment of 50 rods, find the probability that the average length is betweer 117.9-cm and 118-cm. Round all answers to four decimal places if necessary. e. For the calculation in part c, is the assumption of "normal" necessary? O NoO Yes f. For the calculation in part d, is the assumption of "normal" necessary? NoO Yes

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 118.2 cm and a standard deviation of 1.5 cm. For shipment, 50 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=50? 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 117.9 cm and 118 cm. Round all answers to four decimal places if necessary. Probability = \_\_\_\_ d. For a bundled shipment of 50 rods, find the probability that the average length is between 117.9 cm and 118 cm. Round all answers to four decimal places if necessary. Probability = \_\_\_\_ 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? ○ No ○ Yes
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 118.2 cm and a standard deviation of 1.5 cm. For shipment, 50 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=50? 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 117.9 cm and 118 cm. Round all answers to four decimal places if necessary. Probability = \_\_\_\_ d. For a bundled shipment of 50 rods, find the probability that the average length is between 117.9 cm and 118 cm. Round all answers to four decimal places if necessary. Probability = \_\_\_\_ 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? ○ No ○ Yes
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