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Consider this experiment: A random sample of size n1 = 16


Consider this experiment: 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 an unknown mean and a standard deviation of 12. Assume the two samples are independent. Let x̄1 and x̄2 be the sample means. In each run of the experiment, you compare the two sample means by taking their difference, ie x̄1-x̄2 Suppose you did this experiment many times and observed that the probability that x̄1-x̄2 exceeds 4 is 0.05. Find out the population mean of the second population that is consistent with this observation. 

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