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Each sweat shop worker at a computer factory can put together 4 computers per hour on average with a standard deviation of 1 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 T? T - N c What is the distribution of Σ- Σε - ν d. If one randomly selected worker is observed, find the probability that this worker will put together between 3.9 and 4.4 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 4.4. f. Find the probability that a 6 person shift will put together between 23.4 and 27 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? computers per hour (round to the nearest computer)

Each sweat shop worker at a computer factory can put together 4 computers per hour on average with a standard deviation of 1 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 T? T - N c What is the distribution of Σ- Σε - ν d. If one randomly selected worker is observed, find the probability that this worker will put together between 3.9 and 4.4 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 4.4. f. Find the probability that a 6 person shift will put together between 23.4 and 27 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? computers per hour (round to the nearest computer)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Each sweat shop worker at a computer factory can put together 4 computers per hour on average with a standard deviation of 1 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 T? T - N c. What is the distribution of x? >a - N d. If one randomly selected worker is observed, find the probability that this worker will put together between 3.9 and 4.4 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 4.4. f. Find the probability that a 6 person shift will put together between 23.4 and 27 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? 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 1 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 T? T - N c. What is the distribution of x? >a - N d. If one randomly selected worker is observed, find the probability that this worker will put together between 3.9 and 4.4 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 4.4. f. Find the probability that a 6 person shift will put together between 23.4 and 27 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? computers per hour (round to the nearest computer)
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