Law Of Large Numbers, Central Limit Theorem, Normal Distribution, Random Variable, Jacob Bernoulli.
Z_n. If you transform each data point X_i of the original sample using the formula (X_i — μ)/(σ/√n) and take the simple mean of the transformed sample, you’ll get the standardized sample mean Z_n. Given the above apparatus, the Central Limit Theorem makes all of the following equivalent statements