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Suppose ξ and ζ are jointly normal variables, with E(ξ ) = α, var(ξ ) = σ2, E(ζ ) = β, var(ζ ) = τ 2, and cov(ξ, ζ ) = ρστ. Find the mean and variance of ξ + ζ. Is ξ + ζ normal?
Kindly explain to me the importance of random sampling. What problems/limitations could prevent a truly random sampling and how can they be prevented
Show that for any sequence of U -statistics {Un, n ≥ m} generated as above by a random variable f (X1,..., Xm ) with f symmetric and EQ | f | ∞, {Un, Cn }n≥m is a reversed martingale.
The heights of children 2 years old are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem.
several psychology students are unprepared for a surprise truefalse test with 12 questions and all of their answers are
Use a 5% significance level to test the claim that there appears to be a difference in the effectiveness of the two diets.
a computer manufacturer is introducing a new product specifically targeted at the home market and wishes to compare the
study the following minitab output from a regression analysis to predict y from x.a. what is the equation of the
When we move from the basic normal distribution to the sampling distribution of the mean we substitute the standard error of the mean for the standard deviation when we make the conversion to the standardized normal distribution.
Use the t test to determine whether the slope of the regression model is significant at α = 0.05.
a hydraulic punch press is used to punch a slot in a 0.70-in.-thick plate. if the plate shears at a stress of 50 ksi
steve and his friends are relaxing at a local tavern. the number of drinks that steves table receives is poisson
Use α =.01 and test for a significant difference. What is your conclusion?
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