Sampling Distribution of the Mean
Statistical Inference DS practice problem on Onlearn.
Difficulty: medium.
Topics: Understanding the Central Limit Theorem through Sampling Distributions, Sampling with replacement, Empirical distribution, Population variance vs Sample variance, Convergence in distribution, Monte Carlo methods, Probability Theory, Inferential Statistics, Calculus, Linear Algebra, Computational Modeling, Central Limit Theorem, Law of Large Numbers, Sampling Bias, Standard Error, Point Estimation.
Implement a function simulate sampling distribution(population, sample size, num iterations) that performs a Monte Carlo simulation. It should draw num iterations random samples (with replacement) of size sample size from the provided population list, compute the mean of each sample, and return the list of these sample means.