In the full lesson
- Probability About x̄ (example)
- Proportions and the CLT (text)
- Proportion Example (example)
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Module 4 · Sampling & CLT · Topic 5
CLT Applications
Using the CLT. The CLT allows us to compute probabilities about sample means using the normal distribution, even when the population itself is not normal.
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Key formulas
From the Sampling & CLT formula sheet
- Standard Error of xbar:
SE_xbar = sigma / sqrt(n)- Standard deviation of the sampling distribution of the sample mean.
Related glossary terms
- Parameter: A number that describes an entire population. Example: The true mean height of all students at a university.
- Statistic: A number computed from a sample. Example: The mean height of 80 sampled students.
- Standard Error: The standard deviation of a statistic across repeated samples. Example: The standard error of xbar is sigma divided by sqrt(n).
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