A random sample of size n 1 = 16 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second random sample of size n 2 = 9 is taken from another normal population with mean 70 and standard deviation 12. Let be the two sample means. Find the probability that exceeds 4.

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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

be the two sample means.

Find the probability that

exceeds 4.

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