Question
In: Statistics and Probability
This problem is to be done in R. Consider two populations A = {3, 5, 7,...
This problem is to be done in R.
Consider two populations A = {3, 5, 7, 9, 10, 16} and B = {8, 10, 11, 15, 18, 25, 28}.
a) Using R, draw random samples (without replacement) of size 3 from each population, and simulate the sampling distribution of the sum of their maximum. Describe the distribution.
b) Use your simulation to estimate the probability that the sum of the maximums is less than 20.
c) Draw random samples of size 3 from each population, and find the maximum of the union of these two sets. Simulate the sampling distribution of the maximum of this union. Compare the distribution to part (a). In R, max(union(a, b)) returns the maximum of the union of sets a and b.
d) Use simulation to find the probability that the maximum of the union is less than 20.
Solutions
orchestra answered 2 years agoRelated Solutions
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Consider two populations A = f3; 5; 7; 9; 10; 16g and B = f8;
10; 11; 15; 18; 25; 28g.
a) Using R, draw random samples (without replacement) of size 3
from each population, and simulate
the sampling distribution of the sum of their maximum. Describe
the distribution.
b) Use your simulation to estimate the probability that the sum
of the maximums is less than 20.
c) Draw random samples of size 3 from each population, and find
the...
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x 2 3 4 5 7 7 7 8 9
y 4 5 4 6 4 6 9 5 11
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R work (must be done in R)
Before opening the dataset needed for this problem, you’ll need
to call the “car” package. Run the following line of code:
> library(car)
Now you can import the “ Cowles” dataset and use it to answer
the question below.
Name the data frame with your EID:
> my_eid <- Cowles
Remember to include any code you use along with your answers in
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#9. Consider again the data labelled problem 8. The population standard deviations of the two populations...
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populations are known to be respectively 18 and 15. You have to
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population 2 by more than 2 units, i.e.
μ1-μ2>2.
Test the hypothesis using α=3%. You will write ALL the
steps involved in the hypothesis test as demonstrated in the
lecture class: identify the test-statistic, give the value of
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the R code used to find the solution. I have provided the data in
data-wtLoss.txt below the question. I will also give "thumbs-up for
correct R code" Thanks in advance.***
The file “data-wtLoss.txt” contains data on weight loss and self
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***This problem must be done using R so please provide the R code used to find...
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the R code used to find the solution. I have provided the data in
data-wtLoss.txt below the question. I will also give "thumbs-up for
correct R code" Thanks in advance.***
The file “data-wtLoss.txt” contains data on weight loss and self
esteem evaluation at three time points over a period of three
months for 34 individuals who are randomly selected from a
residential area. These individuals are randomly assigned to
one...
Consider the data. xi 1 2 3 4 5 yi 3 7 5 10 13 (a)...
Consider the data.
xi
1
2
3
4
5
yi
3
7
5
10
13
(a)
Compute the mean square error using equation
s2 = MSE =
SSE
n −
2
. (Round your answer to two decimal places.)
(b)
Compute the standard error of the estimate using equation
s =
MSE
=
SSE
n −
2
. (Round your answer to three decimal places.)
(c)
Compute the estimated standard deviation of
b1
using equation
sb1 =
s
Σ(xi −...
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a) Is ? ⊆ ??
b)Is ? ⊆ ??
c) Is ? ⊂ ??
d) Is ? ⊆ ??
e) Is ? ⊆ ??
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changes in the number of procedures per day, average collection
amount, and salvage value. Remember supplies vary with number of
procedures.
b. Conduct a scenario analysis. Suppose that the hospital's
staff concluded that the three most uncertain variables were number
of procedures per day, average collection amount, and...
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