Let X1, X2, . . . , X33 be a simple random sample of size n1 = 33 from a norm(X = 5.7, X = 20.3) distribution and let Y1, Y2, . . . , Y34 be a simple random sample of size n2 = 34 from a norm(Y = 17.3, Y = 11.0) distribution. Suppose that X1, X2, . . . , Xn1 and Y1, Y2, . . . , Yn2 are independent samples. What is the standard deviation of the difference between the respective sample means? I.e., xbar - ybar.

If this can be set up in R, please show.

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