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Given a 3 × 3 matrix Sigma:
a. Show that Sigma=cov(matrix(rnorm(30),nrow=10)) defines a proper covariance matrix.
b. Show that setting A=t(chol(Sigma)) leads to a simulation from Np(0, Σ) by using the command x=A%*%rnorm(3).
c. Compare the execution times of this approach and rmnorm when simulating one vector and 100 vectors.
An advertisement for Cold-Ex claims an 80 percent end-of-treatment clinical success rate for the treatment of flu. Twelve flu patients are given Cold-Ex and are later checked to see if the treatment was successful. Let's assume that the claim ..
The policy of searching for a ?xed time is a static policy. Would a dynamic policy, which allows the decision as to whether to stop at each time t, depend on the number already found by t be bene?cial?
Calculate the partial correlation between gender and punctuality while removing the influence of watch-wearing.
The population standard deviation is known to be 8 minutes. create a hypothesis test to determine if the mean commute time does in fact exceed 40 minutes.
At a certain University, it was found that historically, 10 percent of Ph.D. students fail the program. In a sample of 5 randomly selected Ph.D. Students, find the probability that 3 would fail.
Your percent from the previous exercise is part of (i) the marginal distribution of school permissiveness. (ii) the marginal distribution of the frequency that a teen brought a cell phone to school.
For the following data obtained from four independent samples, use the 0.025 level in testing H0: 7r1 5 7r2 5 7r3 5 7r4 versus H1: At least one popula- tion proportion differs from the others.
question jenson solberg and zorn investigated the relationship of insider ownership debt and dividend policies in
First, please review the five-step outline for a decision-oriented measurement problem. Think about how you might address each step in a project at your work (or any other real-world application).
The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and the number of seeds that germinated within 5 weeks after planting was recorded for each seed type.
Problem: A bar graph showing the conditional distribution of the frequency that a teen brought a cell phone to school among schools with a given level of permissiveness would have
what is the probability that the student will successfully earn exactly the required minimum score of 70 on the exam
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