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# One Sample to Population T Test

Lesson 7 One sample to population T tests One-Sample Significant Difference Tests A great deal of inferential statistics is about using procedures to help us infer that a difference does or does not exist between two situations Knowing whether two things are different allows us to make reliable valid decisions about that information How different does a result need to be before we can call it significant or important Another way to ask this question is to ask how great must the difference between two groups be before we can conclude that the difference is reliable and real and not just a fluke of the specific samples we have examined For example you know that a mean score of 10 is different from a mean score of 11 But in certain situations these values might be so close to one another that for all intents and purposes we can act as though they are the same value The question is then what is a big enough difference that will allow us to act as though the two values are in fact different The answer to this question depends on several factors For a finding to be statistically significant big enough it must be reliable and replicable repeatable - you must be able to find it again using the same techniques with a different sample In order to decide that a result is replicable and can be generalized to the population we must use procedures called significance tests When you find a statistically significant difference this does not mean that you have found proof of something Proof is for courts - in statistics we say we have supporting evidence for a hypothesis Also finding a statistically significant difference may not be of practical use - for example you may find a statistically significant difference between men and women in their math scores but this is of little use in selection for a job or

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