Each sweat shop worker at a computer factory can put together 4 computers per hour on average with a standard deviation of 1 computers. 6 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 1 b. What is the distribution of T? T - N( 4 V 0.4082 c. What is the distribution of > a?) x - N( 24 2.4495

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Each sweat shop worker at a computer factory can put together 4 computers per hour on average
with a standard deviation of 1 computers. 6 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
1
b. What is the distribution of T? T - N( 4
c. What is the distribution of > x?) x - N( 24
d. If one randomly selected worker is observed, find the probability that this worker will put
together between 3.9 and 4.4 computers per hour. 2.5
0.4082
2.4495
e. For the 6 workers, find the probability that their average number of computers put together
per hour is between 3.9 and 4.4. 0.3040
f. Find the probability that a 6 person shift will put together between 23.4 and 27 computers per
hour. 0.3040
g. For part e) and f), is the assumption of normal necessary? O YesO No
h. A sticker that says "Great Dedication" will be given to the groups of 6 workers who have the
top 20% productivity. What is the least total number of computers produced by a group that
receives a sticker? 25.2039
x computers per hour (round to the nearest computer)
Transcribed Image Text:Each sweat shop worker at a computer factory can put together 4 computers per hour on average with a standard deviation of 1 computers. 6 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 1 b. What is the distribution of T? T - N( 4 c. What is the distribution of > x?) x - N( 24 d. If one randomly selected worker is observed, find the probability that this worker will put together between 3.9 and 4.4 computers per hour. 2.5 0.4082 2.4495 e. For the 6 workers, find the probability that their average number of computers put together per hour is between 3.9 and 4.4. 0.3040 f. Find the probability that a 6 person shift will put together between 23.4 and 27 computers per hour. 0.3040 g. For part e) and f), is the assumption of normal necessary? O YesO No h. A sticker that says "Great Dedication" will be given to the groups of 6 workers who have the top 20% productivity. What is the least total number of computers produced by a group that receives a sticker? 25.2039 x computers per hour (round to the nearest computer)
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