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Each sweat shop worker at a computer factory can put together 4.6 computers per hour on average with a standard deviation of 0.9 computers. 16 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 4.6 0.9 08 b. What is the distribution of ? - N 4.6 0.225 ✓ or or c. What is the distribution of Σx? Σx - N( 73.6 3.6 d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.4 and 4.7 computers per hour. 0.1309 X e. For the 16 workers, find the probability that their average number of computers put together per hour is between 4.4 and 4.7. 0.4833 X f. Find the probability that a 16 person shift will put together between 72 and 75.2 computers per hour. 0.3400 X g. For part e) and f), is the assumption of normal

Each sweat shop worker at a computer factory can put together 4.6 computers per hour on average with a standard deviation of 0.9 computers. 16 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 4.6 0.9 08 b. What is the distribution of ? - N 4.6 0.225 ✓ or or c. What is the distribution of Σx? Σx - N( 73.6 3.6 d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.4 and 4.7 computers per hour. 0.1309 X e. For the 16 workers, find the probability that their average number of computers put together per hour is between 4.4 and 4.7. 0.4833 X f. Find the probability that a 16 person shift will put together between 72 and 75.2 computers per hour. 0.3400 X g. For part e) and f), is the assumption of normal

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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Each sweat shop worker at a computer factory can put together 4.6 computers per hour on average with a standard deviation of 0.9 computers. 16 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 - I 4.6 0.9 0° b. What is the distribution of x? - N 4.6 0.225 ✓ OB 0³ c. What is the distribution of Σx? Σx - N( 73.6 ✓ 3.6 d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.4 and 4.7 computers per hour. 0.1309 X e. For the 16 workers, find the probability that their average number of computers put together per hour is between 4.4 and 4.7. 0.4833 X f. Find the probability that a 16 person shift will put together between 72 and 75.2 computers per hour. 0.3400 X g. For part e) and f), is the assumption of normal necessary? Yes No o h. A sticker that says "Great Dedication" will be given to the groups of 16 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 4.6 computers per hour on average with a standard deviation of 0.9 computers. 16 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 - I 4.6 0.9 0° b. What is the distribution of x? - N 4.6 0.225 ✓ OB 0³ c. What is the distribution of Σx? Σx - N( 73.6 ✓ 3.6 d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.4 and 4.7 computers per hour. 0.1309 X e. For the 16 workers, find the probability that their average number of computers put together per hour is between 4.4 and 4.7. 0.4833 X f. Find the probability that a 16 person shift will put together between 72 and 75.2 computers per hour. 0.3400 X g. For part e) and f), is the assumption of normal necessary? Yes No o h. A sticker that says "Great Dedication" will be given to the groups of 16 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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