A random sample of size n1 = 16 is selected from a normal population with...

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Accounting

A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second random sample of size n2 = 9 is taken from another normal population with a mean of 70 and a standard deviation of 12. Let X1 and X2 be the two sample means. Find the following:

a) The probability that X1 ? X2 exceeds 4

b) The probability that 3.5 ? X1(bar)? X2(bar)? 5.5.

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