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
Consider two populations A = f3; 5; 7; 9; 10; 16g and B = f8; 10;...
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...
3. Consider the following data for two variables, x and y.x 2 3 4 5 7...
3. Consider the following data for two variables, x and y.
x 2 3 4 5 7 7 7 8 9
y 4 5 4 6 4 6 9 5 11
a. Does there appear to be a linear relationship between x and y? Explain.(f-test, to do f-test for the overall significance)
b. Develop the estimated regression equation relating x and y.
c. Plot the standardized residuals versus yˆ for the estimated regression equation developed in part (b). Do the model...
3. Consider the following data for two variables, x and y. x 2 3 4 5 7...
3. Consider the following data for two variables, x and y.
x 2 3 4 5 7 7 7 8 9
y 4 5 4 6 4 6 9 5 11
a. Does there appear to be a linear relationship between x and
y? Explain.
b. Develop the estimated regression equation relating x and
y.
c. Plot the standardized residuals versus yˆ for the estimated
regression equation developed in part (b). Do the model assumptions
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d....
R work (must be done in R) Before opening the dataset needed for this problem, you’ll...
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
your submission!
3. Cowles and Davis (1987) collected data on...
#9. Consider again the data labelled problem 8. The population standard deviations of the two populations...
#9. Consider again the data
labelled problem 8. The population standard deviations of the two
populations are known to be respectively 18 and 15. You have to
test the hypothesis that the mean of population 1 exceeds that of
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
sample statistics and...
***This problem must be done using R so please provide the R code used to find...
***This problem must be done using R so please provide
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...
***This problem must be done using R so please provide the R code used to find...
***This problem must be done using R so please provide
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 −...
4) Let ? = {2, 3, 5, 7}, ? = {3, 5, 7}, ? = {1,...
4) Let ? = {2, 3, 5, 7}, ? = {3, 5, 7}, ? = {1, 7}. Answer the
following questions, giving reasons for your answers.
a) Is ? ⊆ ??
b)Is ? ⊆ ??
c) Is ? ⊂ ??
d) Is ? ⊆ ??
e) Is ? ⊆ ??
5) Let ? = {1, 3, 4} and ? = {2, 3, 6}. Use set-roster notation
to write each of the following sets, and indicate the number of
elements in...
Chapter 12 Problem 3 (Excel functions needed) Consider the project contained in Problem 7 in Chapter...
Chapter 12 Problem 3 (Excel functions needed)
Consider the project contained in Problem 7 in Chapter 11
(California Health Center).
a. Perform a sensitivity analysis to see how NPV is affected by
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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