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Let X1,X2,…,Xn be i.i.d. random variables with mean μ and variance σ2 . Denote the sample mean by X¯¯¯¯n=∑ni=1Xin .
Assume that n is large enough that the central limit theorem (clt) holds. Find a random variable Z with approximate distribution N(0,1) , in terms of X¯¯¯¯n , n , μ and σ . (Note that μ and σ2 refers to the mean and variance of Xi , not X¯¯¯¯n .)
Assume that n is large enough that the central limit theorem (clt) holds. Find a random variable Z with approximate distribution N(0,1) , in terms of X¯¯¯¯n , n , μ and σ . (Note that μ and σ2 refers to the mean and variance of Xi , not X¯¯¯¯n .)