Question: 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 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 mean 70 and standard deviation 12.

Let and be the two sample means. Find:

(a) The probability that exceeds 4

(b) The probability that 3.5 X1  X2 5.5

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