AR BALL Question 2 1 pts Which family of distributions take only positive values. All distributions...
Question 1 Suppose x, = 1,2,3 has independent N(u,, 1) distributions such that 2, = , = 3u. Let 1 (2g + З23)?; q2 — k(3ӕ, — 2з)?; q 10 91= -G1) Suppose N (u, V); — (х1 х, х3); и 3 (M g and V x (central chi-squared distribution) 2p1 = plz = 3u3 and qa4 ~ (i) Determine whether q, has a chi-squared distribution (ii) Determine the degrees of freedom k and the noncentrality parameter A of q3...
Question 9 1 pts Random variables tend to have normal distributions when: They are closely related to another random variable with a uniform distribution, but not to any other random variables with a normal distribution. Their values are determined by many different factors, each one of which pushes the value up or down by a small amount Their values are very high for certain members of the population and very low for others, but in a middle range for few...
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Question 2 1 pts As the number of hours a student studies increases, the number of errors made on the exam decreases. There is a strong relationship between these variables. Select the value for the pearson correlation (r) that would be appropriate 0-0.7 0-0.4 o 0.6 o 1.0 Question 3 1 pts The following APA summary was reported for a one-sample t-test (two-tailed, alpha = .05). t(15) = 3.3, p = .003 Which of...
10. (9 pts) Suppose that Yhas a gamma distribution with a -n/2 for some positive integer n and β equal to some specified value. Use the method of moment-generating functions to prove that W 2% has a Chi-squared distribution with n degrees of freedom. Make sure you show all steps and give reasons for each one.
>> Question 33 2 pts Which of the following statements is correct? The time people take to complete a survey is an example of a discrete random variable. The relationship between the variance and the standard deviation is such that the standard deviation is the positive square root of the variance A continuous random variable X has an infinite range, i.e.(-0, too). According the empirical rule for normally distributed variables, 75% of the values fall within one standard deviation of...
1.Which of the following distributions is widely used to describe the time between random events? Uniform distribution Exponential distribution Poisson distribution Normal distribution None of the answer choices is correct. 2. Which of the following distributions is not skewed? Normal distribution Uniform distribution Lognormal distribution Exponential distribution I only II only III only IV only Only I and II
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Suppose a statistician wishes to test whether a large number of observations Xi follows an exponential distribution with parameter A = 1. He wishes to test this hypothesis exactly, and intends that if the observations follow an exponential distribution with a different parameter the test should reject the null hypothesis given sufficiently many observations. In addition, he wants to have a numeric statistic that he could report and does...
11. Chi-Squared Test for a Family of Discrete Distributions A Bookmark this page In the problems on this page you will apply the goodness of fit test to determine whether or not a sample has a binomial distribution So far, we have used the x test to determine if our data had a categorical distribution with specific parameters (e.s uniform on an set). element For the problems on this page, we extend the discussion on x tests beyond what was...
X and Ý are both standard normal distributions, and their covariance is ε, which only takes two possible values, -1 and 1. Is the pair (X, Y) bivariate normal?
X and Ý are both standard normal distributions, and their covariance is ε, which only takes two possible values, -1 and 1. Is the pair (X, Y) bivariate normal?
(b) Find all the values of t E R for which T is positive definite. 2 -1 (i) T = -1 -1 t 2 ; 2 (ii) T = 3 + 4 0