Confidence Interval for a Population Mean, when the Distribution is Non-normal
When the distribution is normal, we use the z-statistic when the population variance is known and we use t-statistic when the population variance is unknown.
However, when the distribution is not normal, we cannot create a confidence interval if the sample size n<30.
If sample size >30 and the distribution is non-normal then:
- If population variance is known, we use z-statistic
- If population variance is unknown, we use t-statistic. Even z-statistic is acceptable, but t-statistic is more common.
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- Simple Random Sampling and Sampling Distribution
- Sampling Error
- Stratified Random Sampling
- Time Series and Cross Sectional Data
- Central Limit Theorem
- Standard Error of the Sample Mean
- Parameter Estimation
- Point Estimates
- Confidence Interval Estimates
- Confidence Interval for a Population mean, with a known Population Variance
- Confidence Interval for a Population mean, with an Unknown Population Variance
- Confidence Interval for a Population Mean, when the Distribution is Non-normal
- Student’s t Distribution
- How to Read Student’s t Table
- Biases in Sampling