- Create a sampling distribution given [latex]\mu[/latex] and [latex]n[/latex].
- Know and check the conditions of the Central Limit Theorem.
- Use the normal approximation to compute probabilities involving sample means when appropriate.
Ultimately, we would like to develop a probability model based on this sampling distribution. We use the probability model with an actual sample mean to either estimate or test a claim about a population mean.
Let’s calculate probabilities using the mean and standard deviation of the sampling distribution of the sample mean.
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