Question

Each sweat shop worker at a computer factory can put together 4.7 computers per hour on average with a standard deviation of 0.7 computers. 48 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.

- What is the distribution of XX? XX ~ N(,)
- What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
- What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
- If one randomly selected worker is observed, find the probability that this worker will put together between 4.6 and 4.7 computers per hour.
- For the 48 workers, find the probability that their average number of computers put together per hour is between 4.6 and 4.7.
- Find the probability that a 48 person shift will put together between 220.8 and 225.6 computers per hour.
- For part e) and f), is the assumption of normal necessary? YesNo
- A sticker that says "Great Dedication" will be given to the groups of 48 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)

Answer #1

Each sweat shop worker at a computer factory can put together
4.7 computers per hour on average with a standard deviation of 0.9
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.
What is the distribution of X? X ~
N(____________,_____________)
What is the distribution of ¯x? ¯x ~
N(______________,_____________)
What is the distribution of ∑x ? ∑x ~
N(_____________,_____________)
If...

Each sweat shop worker at a computer factory can put together 4
computers per hour on average with a standard deviation of 0.7
computers. 7 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.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one...

Each sweat shop worker at a computer factory can put together
4.9 computers per hour on average with a standard deviation of 0.8
computers. 43 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.
What is the distribution of X ? X ~ N( 4.9 Correct, 0.8
Correct)
What is the distribution of ¯ x ? ¯ x ~ N( 4.9 Correct, .1220...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 46
minutes and standard deviation 19 minutes. A researcher observed 9
students who entered the library to study. Round all answers to 4
decimal places where possible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected student...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 43
minutes and standard deviation 23 minutes. A researcher observed 11
students who entered the library to study. Round all answers to 4
decimal places where possible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected student...

Suppose that the amount of time that students spend studying in
the library in one sitting is normally distributed with mean 46
minutes and standard deviation 21 minutes. A researcher observed 46
students who entered the library to study. Round all answers to 4
decimal places where possible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected student...

At a 24-hour computer repair facility broken-down computers
arrive at an average rate of 3 per day, Poisson distributed.
What is the probability that on a given day no computers arrive
for repair?
What is the probability that on a given day at least 3
computers arrive for repair?
What is the distribution of the time between arrivals of
computers to this facility and what is the average time between
arrivals?
On one particular day no computer has arrived for...

1) Automobile Workers A worker in the automobile industry works
an average of 42.9 hours per week. If the distribution
is approximately normal with a standard deviation of 1.4 hours,
what is the probability that a randomly selected automobile worker
works less than 41 hours per week? Round the answer to at least
four decimal places.
P(X<41)
Teachers' Salaries The average annual salary
for all U.S. teachers is 47750. Assume that the distribution is
normal and the standard deviation is 5680....

1.
Assume a normal distribution and find the following
probabilities.
(Round the values of z to 2 decimal places. Round your
answers to 4 decimal places.)
(a) P(x < 24 | μ =
27 and σ = 4)
enter the probability of fewer than 24 outcomes if the mean is 27
and the standard deviation is 4
(b) P(x ≥ 63 | μ = 50
and σ = 7)
enter the probability of 63 or more outcomes if the mean...

Multiple Choice
Select the best answer from the available choices for each
question.
Which of the following is NOT part of the definition of
a sample space S?
S can be discrete or continuous
Each outcome must be in S at most once
Each element in S is equally likely
Each outcome must be in S at least once
S is a set of possible outcomes in an experiment
Three A’s, three B’s, and two C’s are arranged at
random...

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