Question
In: Statistics and Probability
Suppose the average length of a TTC delay is 30 minutes with a standard deviation of...
Suppose the average length of a TTC delay is 30 minutes with a standard deviation of 5.5 minutes. A local business estimates that the cost to their business associated with these delays 150H^2 −8.50, where H is the duration of a TTC delay in hours. How much will a TTC delay cost, at least 70% of the time? Show all your work and include any annotations you think would be helpful in explaining your process. You may find it helpful to know that E[H^4 ] = 0.07.
Solutions
orchestra answered 1 year agoRelated Solutions
Suppose the mean wait time for a bus is 30 minutes and the standard deviation is...
Suppose the mean wait time for a bus is 30 minutes and the
standard deviation is 10 minutes. Take a sample of size n =
100.
Find the probability that the sample mean wait time is more than
31 minutes.
Suppose the mean wait time for a bus is 30 minutes and the standard deviation is...
Suppose the mean wait time for a bus is 30 minutes and the
standard deviation is 10 minutes. Take a sample of size n =
100.
Find the 95th percentile for the sample mean wait time.
Suppose the mean wait time for a bus is 30 minutes and the standard deviation is...
Suppose the mean wait time for a bus is 30 minutes and the
standard deviation is 10 minutes. Take a sample of size n =
100.
Find the probability that the sample mean wait time is between
29 minutes and 31 minutes.
In 2013, the average length of a feature length film was 86 minutes with a standard...
In 2013, the average length of a feature length film was 86
minutes
with a standard deviation of 24 minutes. Source:
IMDB.com/interfaces
a) Explain why it is inappropriate to use the normal model to find
the probability
that a random sample of 15 films will have a mean length greater
than 115
minutes.
b) Describe the sampling distribution of x for n = 40 films (Shape,
Center,
Spread, with justification).
c) Using the Standard Normal Table, find the proportion of...
If the average time to finish an IQ test is 85 minutes with standard deviation of...
If
the average time to finish an IQ test is 85 minutes with standard
deviation of 17 minutes and assuming the data are normally
distributed,
1. what percentage of test takers finish less than 117
minutes?
2. what percentage of test takers finishes between one hour to
hour and half?
3. find the time that separates the slowest 15% who finish the
test?
4. find the time that separates the fastest 5% who finish the
test?
The average time to run the 5K fun run is 20 minutes and the standard deviation...
The average time to run the 5K fun run is 20 minutes and the
standard deviation is 2.3 minutes. 7 runners are randomly selected
to run the 5K fun run. Round all answers to 4 decimal places where
possible and assume a normal distribution. What is the distribution
of X X ? X X ~ N(,) What is the distribution of ¯ x x¯ ? ¯ x x¯ ~
N(,) What is the distribution of ∑ x ∑x ? ∑...
The average time to run the 5K fun run is 21 minutes and the standard deviation...
The average time to run the 5K fun run is 21 minutes and the
standard deviation is 2.5 minutes. 13 runners are randomly selected
to run the 5K fun run. 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 runner is timed, find the...
The average time to run the 5K fun run is 22 minutes and the standard deviation...
The average time to run the 5K fun run is 22 minutes and the
standard deviation is 2.5 minutes. 49 runners are randomly selected
to run the 5K fun run. 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 runner is timed, find the...
The average time to run the 5K fun run is 20 minutes and the standard deviation...
The average time to run the 5K fun run is 20 minutes and the
standard deviation is 2.4 minutes. 8 runners are randomly selected
to run the 5K fun run. Round all answers to 4 decimal places where
possible and assume a normal distribution.
What is the distribution of X X ? X X ~ N(,)
What is the distribution of ¯ x x¯ ? ¯ x x¯ ~ N(,)
What is the distribution of ∑ x ∑x ? ∑...
Suppose the mean delay at a station for a subway train is 7 minutes, with a...
Suppose the mean delay at a station for a subway train is 7
minutes, with a standard deviation of 1 minutes. A subway
improvement lobbyist measures the delay of 64 randomly selected
trains, and computes the mean delay. What distribution, including
parameters, does this sample mean come from and why?
Written work: Answer the question.
In the box below: Enter the second parameter (in the usual
order) of the distribution.
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