LTE ll 94% cricket 11:07 AM Chapter 7: Central Limit The ... X Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a standard deviation of 0.9 computers. 18 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(4.4 b. What is the distribution of ? ^ N(4.4 0.9 0.2123 C. What is the distribution of x? N( ~ Т d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.1 and 4.2 computers per hour .0426 e. For the 18 workers, find the probability that their average number of computers put together per hour is between 4.1 and 4.2. f. Find the probability that a 18 person shift will put together between 75.6 and 79.2 computers per hour. part e) and f), is the assumption of For g. normal necessary? h. A sticker that says "Great Dedication" Yes No LTE al 94% cricket 11:07 AM X Chapter 7: Central Limit The... d. WIldT IS tne UIstribuuOn ΤΥΥ N(4.4 0.9 b. What is the distribution of a? i ~ N(4.4 0.2123 C. What is the distribution of 3 х? Σε-Μ( |x) d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.1 and 4.2 computers per hour. .0426 e. For the 18 workers, find the probability that their average number of computers put together per hour is between 4.1 and 4.2. f. Find the probability that a 18 person shift will put together between 75.6 and 79.2 computers per hour g. For part e) and f), is the assumption of normal necessary? No h. A sticker that says "Great Dedication" will be given to the groups of 18 workers who have the top 10% productivity. What is the least total number of computers produced by a group that receives a sticker? Yes |«minutes (round to the nearest computer)

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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LTE
ll 94%
cricket
11:07 AM
Chapter 7: Central Limit The ...
X
Each sweat shop worker at a computer
factory can put together 4.4 computers per
hour on average with a standard deviation
of 0.9 computers. 18 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(4.4
b. What is the distribution of ? ^
N(4.4
0.9
0.2123
C. What is the distribution of x?
N(
~ Т
d. If one randomly selected worker is
observed, find the probability that this
worker will put together between 4.1
and 4.2 computers per
hour
.0426
e. For the 18 workers, find the probability
that their average number of
computers put together per hour is
between 4.1 and 4.2.
f. Find the probability that a 18 person
shift will put together between 75.6
and 79.2 computers per
hour.
part e) and f), is the assumption of
For
g.
normal necessary?
h. A sticker that says "Great Dedication"
Yes
No
Transcribed Image Text:LTE ll 94% cricket 11:07 AM Chapter 7: Central Limit The ... X Each sweat shop worker at a computer factory can put together 4.4 computers per hour on average with a standard deviation of 0.9 computers. 18 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(4.4 b. What is the distribution of ? ^ N(4.4 0.9 0.2123 C. What is the distribution of x? N( ~ Т d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.1 and 4.2 computers per hour .0426 e. For the 18 workers, find the probability that their average number of computers put together per hour is between 4.1 and 4.2. f. Find the probability that a 18 person shift will put together between 75.6 and 79.2 computers per hour. part e) and f), is the assumption of For g. normal necessary? h. A sticker that says "Great Dedication" Yes No
LTE
al 94%
cricket
11:07 AM
X
Chapter 7: Central Limit The...
d. WIldT IS tne UIstribuuOn
ΤΥΥ
N(4.4
0.9
b. What is the distribution of a? i ~
N(4.4
0.2123
C. What is the distribution of 3
х?
Σε-Μ(
|x)
d. If one randomly selected worker is
observed, find the probability that this
worker will put together between 4.1
and 4.2 computers per
hour.
.0426
e. For the 18 workers, find the probability
that their average number of
computers put together per hour is
between 4.1 and 4.2.
f. Find the probability that a 18 person
shift will put together between 75.6
and 79.2 computers per hour
g. For part e) and f), is the assumption of
normal necessary? No
h. A sticker that says "Great Dedication"
will be given to the groups of 18
workers who have the top 10%
productivity. What is the least total
number of computers produced by a
group that receives a sticker?
Yes
|«minutes (round to the
nearest computer)
Transcribed Image Text:LTE al 94% cricket 11:07 AM X Chapter 7: Central Limit The... d. WIldT IS tne UIstribuuOn ΤΥΥ N(4.4 0.9 b. What is the distribution of a? i ~ N(4.4 0.2123 C. What is the distribution of 3 х? Σε-Μ( |x) d. If one randomly selected worker is observed, find the probability that this worker will put together between 4.1 and 4.2 computers per hour. .0426 e. For the 18 workers, find the probability that their average number of computers put together per hour is between 4.1 and 4.2. f. Find the probability that a 18 person shift will put together between 75.6 and 79.2 computers per hour g. For part e) and f), is the assumption of normal necessary? No h. A sticker that says "Great Dedication" will be given to the groups of 18 workers who have the top 10% productivity. What is the least total number of computers produced by a group that receives a sticker? Yes |«minutes (round to the nearest computer)
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