Each sweat shop worker at a computer factory can put together 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 b. What is the distribution of ? - N( c. What is the distribution of x? a - N( d. If one

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Central Limit Theorem problem I need help with. all parts. Round to 4 decimals please thank you! 

Each sweat shop worker at a computer factory can put together 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(
b. What is the distribution of æ? ¤ - N(
c. What is the distribution of ) x? ) x - N
d. If one randomly selected worker is observed, find the probability that this worker will put together
between 3.9 and 4.3 computers per hour.
e. For the 6 workers, find the probability that their average number of computers put together per hour is
between 3.9 and 4.3.
f. Find the probability that a 6 person shift will put together between 23.4 and 25.8 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 15%
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)
Transcribed Image Text:Each sweat shop worker at a computer factory can put together 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( b. What is the distribution of æ? ¤ - N( c. What is the distribution of ) x? ) x - N d. If one randomly selected worker is observed, find the probability that this worker will put together between 3.9 and 4.3 computers per hour. e. For the 6 workers, find the probability that their average number of computers put together per hour is between 3.9 and 4.3. f. Find the probability that a 6 person shift will put together between 23.4 and 25.8 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 15% 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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