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The random variables X and Y are independent. X is known to have a N(u = 20, ( = 4) distribution and Y is known

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The random variables X and Y are independent. X is known to have a N(u = 20, ( = 4) distribution and Y is known to have a N(u = 18, q = 8) distribution. A random sample of size 100 is obtained and X, Y denote the sample means. What is the variance of the difference in sample means X - Y

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