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Each sweat shop worker at a computer factory can put together 4.9 computers per hour on average with a standard deviation of 0.9 computers. 41 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution.

Each sweat shop worker at a computer factory can put together 4.9 computers per hour on average with a standard deviation of 0.9 computers. 41 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution.

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
Problem 1P
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https://www.myopenmath.com/assess2/?cid=86715&aid3D6206186#/skip/2 Each sweat shop worker at a computer factory can put together 4.9 computers per hour on average with a standard deviation of 0.9 computers. 41 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X N( 4.9 V, 0.9 b. What is the distribution of x? a N( 4.9 V, 0.1406 C. What is the distribution of x? x N( 200.9 5.7628 d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.7 and 4.9 computers per hour. 0.0871 e. For the 41 workers, find the probability that their average number of computers put together per hour is between 4.7 and 4.9. 0.4222 f. Find the probability that a 41 person shift will put together between 192.7 and 200.9 computers per hour. g. For part e) and f), is the assumption of normal necessary? O NoO Yes o h. A sticker that says "Great Dedication" will be given to the groups of 41 workers who have the top 15% productivity. What is the least total number of computers produced by a group that receives a sticker? minutes (round to the nearest computer) Hint: Some Helpful Videos:
Transcribed Image Text:https://www.myopenmath.com/assess2/?cid=86715&aid3D6206186#/skip/2 Each sweat shop worker at a computer factory can put together 4.9 computers per hour on average with a standard deviation of 0.9 computers. 41 workers are randomly selected to work the next shift at the factory. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X N( 4.9 V, 0.9 b. What is the distribution of x? a N( 4.9 V, 0.1406 C. What is the distribution of x? x N( 200.9 5.7628 d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.7 and 4.9 computers per hour. 0.0871 e. For the 41 workers, find the probability that their average number of computers put together per hour is between 4.7 and 4.9. 0.4222 f. Find the probability that a 41 person shift will put together between 192.7 and 200.9 computers per hour. g. For part e) and f), is the assumption of normal necessary? O NoO Yes o h. A sticker that says "Great Dedication" will be given to the groups of 41 workers who have the top 15% productivity. What is the least total number of computers produced by a group that receives a sticker? minutes (round to the nearest computer) Hint: Some Helpful Videos:
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