A variable of two populations has a mean of 28 and a standard deviation of 7 for
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A variable of two populations has a mean of 28 and a standard deviation of 7 for one of the populations and a mean of 28 and a standard deviation of 4 for the other population.
a. For independent samples of sizes 15 and 10, respectively, find the mean and standard deviation of x¯1 − x¯2.
b. Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Explain your answer.
c. Can you conclude that the variable x¯1 − x¯2 is normally distributed? Explain your answer.
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