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- Great!
- Good day, students! I am Professor X!
- Our learning journey will be fun!
- Would you like to join me in my exploration of identifying appropriate test statistics involving population mean?
- Why don't we go in my classroom?
- If the population standard deviation is known, use the z-test
- A random variable that is calculated from sample data and is used in hypothesis test is called a test statistic.
- It is used to reject or accept the null hypothesis
- The mean has a normal distribution
- To know which test statistic to use, you must consider if the population standard deviation or variance is known or unknown
- If the population standard deviation is unknown, use the t-test
- The mean has a t-distribution
- In Central Limit Theorem, if the sample size is large, then we use the z-test
- Identifying Appropriate Test Statistic
- Even if the population standard deviation is not known, we can still use the z-score if we would replace the population standard deviation with its estimate--the sample standard deviation
- That concludes our lessom for today
- Until next time, students!
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