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# Difference of two normal random variables.

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A variable of two populations has a mean of 40 and a standard deviation of 12 for one of the populations and a mean a of 40 and a standard deviation of 6 for the other population. Moreover, the variable is normally distributed on each of the two populations.

a. For independent samples of sizes 9 and 4, respectively, determine the mean and standard deviation of X1-X2. (See attachment for full questions).

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#### Solution Summary

In this solution, the mean and standard deviation of the difference of two independent normal random variables is found. Then a hypothesis about the new random variable is tested.

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