Test Statistics
Storyboard Text
- [1]Hey Allison! Can I ask you something?
- [3]Can you tell me the formula of the 3 test statistics? I forgot to ask you yesterday.
- [5] Thank you so much Allison! Thanks for the information!
- [4] Oh, for the z-test it's z = x̅ x μ over σ or z = x̅ x μ over σ √n. For t-test, it's t = x̅ - μ over s √n , and lastly for central limit theorem, it's the same with z-test but change this symbol σ-population standard deviation with a symbol of s-sample standard deviation.
- [2]Hello Milly! What is it?
- [1] So a test statistic refers to a random variable that is calculated from a sample data and used in a hypothesis test. There are also 3 types of test statistics.
- [3] Test statistic is important since you can use this to determine whether you reject or accept a null hypothesis.
- [5] Sure! Let's go to the amusement park and have an amazing talk over there.
- [2] Okay. Then is it important? What's the use of a test statistic?
- [4] That's great! Can you tell me what are the different types of test statistics and where to use it?
- [4] Thank you for the information! By the way, I'll go now! See you at school tomorrow!
- [2] When do we use those test statistics?
- [3] You will use z-test if the sample size is greater than 30 and the population standard deviation is given. For t-test, you'll use it if the sample size is less than 30 and the population standard deviation is unknown. Lastly, for central limit theorem, you'll use it if the sample size is greater than 30 and the sample standard deviation is given.
- [1] So there are 3 test statistics are z-test, t-test and central limit theorem.
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