Question

Random sampling math quick check

Answer 1

Sure! Let me know what specific questions you have about random sampling, and I'll do my best to help you with a quick check. Here are a few key concepts you might want to consider:

1. **Definition**: Random sampling is a technique used to select a subset of individuals from a larger population randomly, ensuring that every individual has an equal chance of being selected.

2. **Types of Random Sampling**:
- **Simple Random Sampling**: Every member of the population has an equal chance of being selected.
- **Stratified Sampling**: The population is divided into subgroups (strata), and random samples are taken from each stratum.
- **Systematic Sampling**: Members of the population are selected at regular intervals from a randomly ordered list.
- **Cluster Sampling**: The population is divided into clusters (usually geographically), and entire clusters are randomly selected.

3. **Formulae**:
- The sample size can often be calculated using the formula:
\[
n = \frac{N}{1 + N(e^2)}
\]
where:
- \( n \) = sample size
- \( N \) = population size
- \( e \) = margin of error (expressed as a decimal)

4. **Applications**:
- Surveys
- Experiments
- Political polling

If you have specific questions or problems to solve, let me know!