Each sweat shop worker at a computer factory can put together 5 computers per hour on average with a standard deviation of 1 computers. 12 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 a? - N c. What is the distribution of æ? >x - N d. If one randomly selected worker is observed, find the probability that this worker will put together between 5.1 and 5.3 computers per hour. e. For the 12 workers, find the probability that their average number of computers put together per hour is between 5.1 and 5.3. f. Find the probability that a 12 person shift will put together between 61.2 and 66 computers per hour. g. For part e) and f), is the assumption of normal necessary? ONo Yes h. A sticker that says "Great Dedication" will be given to the groups of 12 workers who have the top 15% 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
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Each sweat shop worker at a computer factory can put together 5 computers per hour on average with a
standard deviation of 1 computers. 12 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? x - N
d. If one randomly selected worker is observed, find the probability that this worker will put together
between 5.1 and 5.3 computers per hour.
e. For the 12 workers, find the probability that their average number of computers put together per hour
is between 5.1 and 5.3.
f. Find the probability that a 12 person shift will put together between 61.2 and 66 computers per hour.
g. For part e) and f), is the assumption of normal necessary? O No Yes
h. A sticker that says "Great Dedication" will be given to the groups of 12 workers who have the top 15%
productivity. What is the least total number of computers produced by a group that receives a sticker?
minutes (round to the nearest computer)
Hint:
Some Helpful Videos:
• Finding the Sampling Distribution [+]
• Finding a Probability Using the Central Limit Theorem [+]
• Finding Value Given a Probability Using the Central Limit Theorem [+]
• The Central Limit Theorem For Sums [+]
Hint
Transcribed Image Text:Each sweat shop worker at a computer factory can put together 5 computers per hour on average with a standard deviation of 1 computers. 12 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? x - N d. If one randomly selected worker is observed, find the probability that this worker will put together between 5.1 and 5.3 computers per hour. e. For the 12 workers, find the probability that their average number of computers put together per hour is between 5.1 and 5.3. f. Find the probability that a 12 person shift will put together between 61.2 and 66 computers per hour. g. For part e) and f), is the assumption of normal necessary? O No Yes h. A sticker that says "Great Dedication" will be given to the groups of 12 workers who have the top 15% productivity. What is the least total number of computers produced by a group that receives a sticker? minutes (round to the nearest computer) Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+] • Finding Value Given a Probability Using the Central Limit Theorem [+] • The Central Limit Theorem For Sums [+] Hint
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman