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6. Let d= X -Y, where X and Y are random variables with normal distribution, and...

6. Let d= X -Y, where X and Y are random variables with normal distribution, and X and Y are independent random variables. Assume that you know both the mean and variance of   X and Y, if you have random samples from X and Y with equal sample size, what is the sampling distribution for the sample means of d(assuming X and Y are independent)?

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Answer #1

Let

Also, X and Y are independent

let the sample size be n

since X and Y are independent

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