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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

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

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 - N 4.6 0.9 b. What is the distribution of x? - N 4.6 0.225 ✓ c. What is the distribution of Σa? Σ - N( X- 73.6 3.6 0° 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 Xx 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 - N 4.6 0.9 b. What is the distribution of x? - N 4.6 0.225 ✓ c. What is the distribution of Σa? Σ - N( X- 73.6 3.6 0° 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 Xx 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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