Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a standard deviation of 0.7 computers. 6 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 4.4 V, 0.7 b. What is the distribution of ? - N( 4.4 0.2858/ c. What is the distribution of æ? a x - N( 26.4 1.7146 / d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.1 and 4.5 computers per hour. e. For the 6 workers, find the probability that their average number of computers put together per hour is between 4.1 and 4.5. f. Find the probability that a 6 person shift will put together between 25.2 and 26.4 computers per hour. g. For part e) and f), is the assumption of normal necessary? O YesO No h. A sticker that says "Great Dedication" will be given to the groups of 6 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker? minutes (round to the nearest computer)
Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a standard deviation of 0.7 computers. 6 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 4.4 V, 0.7 b. What is the distribution of ? - N( 4.4 0.2858/ c. What is the distribution of æ? a x - N( 26.4 1.7146 / d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.1 and 4.5 computers per hour. e. For the 6 workers, find the probability that their average number of computers put together per hour is between 4.1 and 4.5. f. Find the probability that a 6 person shift will put together between 25.2 and 26.4 computers per hour. g. For part e) and f), is the assumption of normal necessary? O YesO No h. A sticker that says "Great Dedication" will be given to the groups of 6 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker? minutes (round to the nearest computer)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Please answer all parts and show your work
![Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a
standard deviation of 0.7 computers. 6 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( 4.4
0.7
b. What is the distribution of ? - N( 4.4
0.2858/
c. What is the distribution of x? x - N( 26.4
1.7146 V
d. If one randomly selected worker is observed, find the probability that this worker will put together
between 4.1 and 4.5 computers per hour.
e. For the 6 workers, find the probability that their average number of computers put together per hour
is between 4.1 and 4.5.
f. Find the probability that a 6 person shift will put together between 25.2 and 26.4 computers per
hour.
g. For part e) and f), is the assumption of normal necessary? O YesO No
h. A sticker that says "Great Dedication" will be given to the groups of 6 workers who have the top 20%
productivity. What is the least total number of computers produced by a group that receives a
sticker?
minutes (round to the nearest computer)
Hint:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83f43de6-e45d-44bd-a88b-15fd3c705482%2Fd7addadc-49a8-4269-9cfb-e36de70e1b0a%2F8vr6doj_processed.jpeg&w=3840&q=75)
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 0.7 computers. 6 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( 4.4
0.7
b. What is the distribution of ? - N( 4.4
0.2858/
c. What is the distribution of x? x - N( 26.4
1.7146 V
d. If one randomly selected worker is observed, find the probability that this worker will put together
between 4.1 and 4.5 computers per hour.
e. For the 6 workers, find the probability that their average number of computers put together per hour
is between 4.1 and 4.5.
f. Find the probability that a 6 person shift will put together between 25.2 and 26.4 computers per
hour.
g. For part e) and f), is the assumption of normal necessary? O YesO No
h. A sticker that says "Great Dedication" will be given to the groups of 6 workers who have the top 20%
productivity. What is the least total number of computers produced by a group that receives a
sticker?
minutes (round to the nearest computer)
Hint:
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