Question
In: Statistics and Probability
a.) Viscosity measurements for a certain petroleum fraction can be modelled using a normal distribution with...
a.) Viscosity measurements for a certain petroleum fraction can be modelled using a normal distribution with a mean of 41 and a standard deviation of 7. The 99th percentile of this distribution is
b.) Suppose X has a normal distribution with mean 3 and standard deviation 1. The 95th percentile of this distribution is
Group of answer choices
c.) United Airlines Flight 433 is a nonstop flight from Boston’s Logan airport to San Francisco International Airport. An important factor in scheduling such flights is the actual airborne flying time from takeoff to touchdown. Suppose the airborne flying time is distributed as normal with mean 370 minutes and standard deviation 16 minutes. 31 records of the times (in minutes) that it takes flight 433 to fly from Boston’s Logan airport to San Francisco International Airport are randomly selected from the 2016 database. What is the sampling distribution of the average airborne flying time?
Solutions
orchestra answered 2 years agoRelated Solutions
a.) Viscosity measurements for a certain petroleum fraction can be modelled using a normal distribution with...
a.) Viscosity measurements for a certain petroleum fraction can
be modelled using a normal distribution with a mean of 41 and a
standard deviation of 7. The 99th percentile of this distribution
is
b.) Suppose X has a normal distribution with mean 3 and standard
deviation 1. The 95th percentile of this distribution is
Group of answer choices
c.) United Airlines Flight 433 is a nonstop flight from Boston’s
Logan airport to San Francisco International Airport. An important
factor in...
The weight, in kilograms, of cereal in a box can be modelled by a normal distribution...
The weight, in kilograms, of cereal in a box can be modelled by
a normal distribution with Mean ? and standard deviation 5.4 kg.
Given that 10% of boxes contains less than D kg. Find.
a. The value of ?.
b. The percentage of boxes that contain more than (D+4) kg.
c. If the machine settings are adjusted so that the weight of
cereal in a box is normally distributed with mean (D+3) kg and
standard deviation of ?. Given...
The time needed for college students to complete a certain puzzle is modelled using a normal...
The time needed for college students to complete a certain
puzzle is modelled using a normal distribution with a mean of 30
seconds and a standard deviation of 3 seconds. You wish to see if
the
population mean time µ is changed by vigorous exercise, so you have
a group of nine college students
exercise vigorously for 30 minutes and then complete the puzzle.
What is the rejection region at the
significance level 0.01?
What is the power of the...
The daily rainfall in Japan (measured in millimeters) is modelled using a gamma distribution with parameters...
The daily rainfall in Japan (measured in millimeters) is
modelled using a gamma distribution with parameters α = 0.8 and β =
0.4.
Consider the overall rainfall in 365 days, and use mgfs and
their properties to prove that this is Ga (292, 0.4).
Use the central limit theorem to approximate the probability
that the annual rainfall exceeds 800mm (write down the analytical
formula and the code used to calculate the cdf value).
Compare the approximate value obtained with the...
1. The daily rainfall in Dublin (measured in millimeters) is modelled using a gamma distribution with...
1. The daily rainfall in Dublin (measured in millimeters) is
modelled using a gamma distribution with parameters α = 0.8 and β =
0.4.
(d) Use the central limit theorem to approximate the probability
that the annual rainfall exceeds 800mm (write down the analytical
formula and the code used to calculate the cdf value).
(e) Compare the approximate value obtained with the exact
counterpart (include the R code used to calculate the cdf
value).
(f) Use R to produce a...
The daily rainfall in Cork (measured in millimeters) is modelled using a gamma distribution with parameters...
The daily rainfall in Cork (measured in millimeters) is modelled
using a gamma distribution with parameters α = 0.8 and β = 0.3.
1) Use Markov’s inequality to upper bound the probability that
the observed rainfall in a given day is larger than 3 mm, and
compare the value to the result of cdf calculation.
2) Consider the overall rainfall in 365 days, and use moment
generating functions and their properties to prove that this is Ga
(292, 0.3).
3)...
The life time X of a component, costing $1000, is modelled using an exponential distribution with...
The life time X of a component, costing $1000, is modelled using
an exponential distribution with a mean of 5 years. If the
component fails during the first year, the manufacturer agrees to
give a full refund. If the component fails during the second year,
the manufacturer agrees to give a 50% refund. If the component
fails after the second year, but before the fifth year the
manufacturer agrees to give a 10% refund.
(a) What is the probability that...
Suppose the current measurements in a strip of wire are assumed to follow a normal distribution...
Suppose the current measurements in a strip of wire are assumed
to follow a normal distribution with a mean of 10 mA and a variance
of 4 (mA)^2.
a. What is the probability that a measurement will exceed 13
mA?
b. What is the probability that a current measurement is between
9 and 11 mA?
c. Determine the value for which the probability that a current
measurement is below this value is 0.98.
Please show all steps and explanations. Thank...
Check that the measurements for the heart rate are coming from a normal distribution by constructing...
Check that the measurements for the heart rate are coming from
a normal distribution by constructing a histogram.
Create indicator variables for female and good AQI. Fit the
regression model and discuss its goodness of fit. What portion of
variation in heart rate can this model explain?
Write the fitted model. What variables are significant
predictors of heart rate at the 5% level of significance?
Plot residuals against predicted values. Does it show any
pattern?
Compute the predicted heart rate...
Question3: Consider the following 14 independent measurements from a normal distribution: Independent measurements 20 18 11...
Question3: Consider the following 14 independent measurements
from a normal distribution:
Independent measurements
20 18 11 20 16 14 15 15 14 13 11 18 20 9
1) What is the standard error of the sample mean?
0.9936
3.5826
0.9575
3.4303
2) Calculate a 99% confidence interval for the population
mean.
[5.8831,24.6883]
[12.9734,17.5980]
[12.4015,18.1700]
[12.7480,17.8234]
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