Let X be any random variable with mean mu and standard deviation s Take a random sample of size n As n increases and as a result of the central limit theorem The distribution of X approaches a normal distribution with mean and standard deviation sqrt( n) The distribution of the sum S n X 1 X 2 X n approaches a normal distribution with mean and standard deviation sqrt( n) The distribution of the sum S n X 1 X 2 X n approaches a normal distribution with mean and standard deviation The distribution of x approaches a normal distribution with mean and standard deviation sqrt( n) a None of the above

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Question: Let X be any random variable with mean mu and standard deviation s. Take a random sample of size n. As n increases and as

Let X be any random variable with mean mu and standard deviation s. Take a random sample of size n. As n increases and as a result of the central limit theorem:

The distribution of X approaches a normal distribution with mean and standard deviation /sqrt(n)

The distribution of the sum S_n = X₁ + X₂ + + X_n approaches a normal distribution with mean and standard deviation /sqrt(n)

The distribution of the sum S_n = X₁ + X₂ + + X_n approaches a normal distribution with mean and standard deviation

The distribution of x approaches a normal distribution with mean and standard deviation /sqrt(n) a. None of the above

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