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In testing the hypothesis, Ho: u> or equal to 31.5 and Ha: u<31.5 , using p-value approach, a p-value of 0.0409 was obtained. If σ = 8.7, find out a sample mean which produced this p-value given that sample of size n = 50 was randomly selected.
Statistics and Probability, Statistics
Prove that the sequence of sample means of IID random variables converges in the MS sense. What conditions are required on the IID random variables for this convergence to occur?
Madison has just burnt 15 songs onto a music mix CD, 5 are country, 5 are pop, and 5 are Disney songs. If she is interested in randomly listening to 3 songs, how many different combinations of songs can she listen to if ...
A vector random variable, X , has a mean vector and correlation matrix given by. A new random vector is formed according to where the matrix A is given by Find the mean vector, correlation matrix and covariance matrix ...
A uniform random variable has a PDF given by fx(x)=u(x)-u(x-1) (a) Find the mean and variance of X. (b) Find the conditional mean and the conditional variance given that
Suppose a point in three-dimensional Cartesian space, (X, Y, Z) is equally likely to fall anywhere on the surface of the hemisphere defined by X 2 + Y 2 + Z 2 = 1 and Z>=0. (a) Find the PDF Of Z, f Z (z). (b) Find th ...
Question: Consider the small, closed economy of Exurbia. Exurbia produces mittens and the domestic market demand and domestic market supply curves for mittens in Exurbia are as follows where Q is pairs of mittens and P i ...
Let We desire to find Write a MATLAB program to estimate this probability through Monte Carlo simulation techniques. If we want to be 90% sure that our estimate is within 5% of the true value, about how many times ...
Let and be random variables with means μ X and μ Y , variences σ 2 X and σ 2 Y , and correlation coefficient ρ X ,Y (a) Find the value of the constant which minimizes (b) Find the value of when A is given as deter ...
Imagine that you are trapped in a circular room with three doors symmetrically placed around the perimeter. You are told by a mysterious voice that one door leads to the outside after a 2-h trip through a maze. However, ...
The owner of a local nightclub wishes to perform a statistical analysis to determine whether the mean age of her customers isover 30. What are appropriate null and alternative hypotheses?
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