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 z? # - N( c. What is the distribution of z? ) z - 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)
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XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
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D, e, f and h
![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 æ? ë - 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 [+]
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