Suppose X-N(16,36 ) andY~N(19,16 ) . If a sample ofsize 20 was selected fromthe X population andanother sample,independent of the first, ofsize 15 was selected from theY population, then P(X

Mean of sample mean of X = x̄ = 16 Variance of x̄ = 36/20 = 1.8 standard deviation of sample mean…

Answered: Suppose X-N(16,36 ) and Y~N(19,16 ) .…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A sample with size n=4 is drawn from the set 5,6,8,10,12 and 20.Determine the number of possible samples with size 4, Identify the distribution of the sample means, and compute the mean, standard error and variance of the sample means.
A population consists of the following 6 values: {10, 20, 30, 40, 50, 60}. A sample of size 3 will be chosen from this population without replacement and the median of the sample will be computed: { (0.5 (£n/2 + £n/2+1) m = x(n+1)/2 n odd n even In other words, in a sample of size n = 3 ordered from smallest to largest the median is the 2nd number. The median of a discrete random variable, μ, is defined as the value of such that and P(X M) ≤ 0.5 Determine the median of the population. Think of the population as an equally likely sample space. Determine the sampling distribution of the sample median, m for this population by (1) identifying all possible samples (how many are there?), (2) calculating the median in each sample and (3) using that to determine the probability of each median. Calculate E (m) Determine the standard error or the sample median
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Suppose X-N(16,36 ) and Y~N(19,16 ) . If a sample o size 20 was selected from the X population and