Sampling Distribution Notes, Note: Since the sampling distributio

Sampling Distribution Notes, Note: Since the sampling distribution of the sample mean is normally under certain conditions you can use the normal approximation to find probabilities, therefore you need convert x̅ to a z-score. Free homework help forum, online calculators, hundreds of help topics for stats. All answer keys included. Here are some key points to note about sampling distribution: The Central Limit Theorem tells us that regardless of the shape of our population, the sampling distribution of the sample mean will be normal as the sample size increases. It is a way in which samples are drawn from a population. You need to refresh. The sampling distribution of a statistic is the probability distribution of that statistic. For a random sample of size n from a population having mean and standard deviation , then as the sample size n increases, the sampling distribution of the sample mean xn approaches an approximately normal distribution as follows. Note that a sampling distribution is the theoretical probability distribution of a statistic. This will be the basis for statistical inference.

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