MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a standard deviation of 1 computers. 49 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 b. What is the distribution of ? - N c. What is the distribution of Σa? - N I d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.2 and 4.3 computers per hour. e. For the 49 workers, find the probability that their average number of computers put together per hour is between 4.2 and 4.3. f. Find the probability that a 49 person shift will put together between 210.7 and 220.5 computers per hour. g. For part e) and f), is the assumption of normal necessary? Yes No h. A sticker that says "Great Dedication" will be given to the groups of 49 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker? computers per hour (round to the nearest computer)
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Transcribed Image Text:Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a standard deviation of 1 computers. 49 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 b. What is the distribution of ? - N c. What is the distribution of Σa? - N I d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.2 and 4.3 computers per hour. e. For the 49 workers, find the probability that their average number of computers put together per hour is between 4.2 and 4.3. f. Find the probability that a 49 person shift will put together between 210.7 and 220.5 computers per hour. g. For part e) and f), is the assumption of normal necessary? Yes No h. A sticker that says "Great Dedication" will be given to the groups of 49 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker? computers per hour (round to the nearest computer)
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Step 1: Information given is

As per our guidelines we are supposed to answer only three subparts kindly post the remaining subparts in next post 

Mean(straight mu)=4.4

standard deviation(straight sigma)=1

sample size(n)=49

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Please solution for part H

A sticker that says "Great Dedication" will be given to the groups of 49 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker? computers per hour (round to the nearest computer)

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d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.2 and 4.3 computers per hour. e. For the 49 workers, find the probability that their average number of computers put together per hour is between 4.2 and 4.3. f. Find the probability that a 49 person shift will put together between 210.7 and 220.5 computers per hour.
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Transcribed Image Text:d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.2 and 4.3 computers per hour. e. For the 49 workers, find the probability that their average number of computers put together per hour is between 4.2 and 4.3. f. Find the probability that a 49 person shift will put together between 210.7 and 220.5 computers per hour.
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Please solution for part H

A sticker that says "Great Dedication" will be given to the groups of 49 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker? computers per hour (round to the nearest computer)

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Follow-up Question
d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.2 and 4.3 computers per hour. e. For the 49 workers, find the probability that their average number of computers put together per hour is between 4.2 and 4.3. f. Find the probability that a 49 person shift will put together between 210.7 and 220.5 computers per hour.
expand button
Transcribed Image Text:d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.2 and 4.3 computers per hour. e. For the 49 workers, find the probability that their average number of computers put together per hour is between 4.2 and 4.3. f. Find the probability that a 49 person shift will put together between 210.7 and 220.5 computers per hour.
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