Let X1, , Xn be a random sample, each with mean 1 and standard deviation 1 Also, let Y1 ,Y2, , Yn be a random sample independent of X1, , Xn, each with mean m2 and a standard deviation 2 Prove that the random variable Satisfies the conditions ofTheorem4 4 1 and hence Vn is asymptotically normal ) (m 112) Il

Question: Let X1, . . ., Xn be a random sample, each with mean 1 and standard deviation 1. Also, let Y1 ,Y2, . . .,

Let X1, . . ., Xn be a random sample, each with mean Î¼1 and standard deviation Ïƒ1. Also, let Y1 ,Y2, . . ., Yn be a random sample independent of X1, . . ., Xn, each with mean m2 and a standard deviation Ïƒ2. Prove that the random variable

Satisfies the conditions ofTheorem4.4.1 and hence Vn is asymptotically normal.

) _ (m-112) Il

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