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# Probem Set 5 - Assignment Example

Summary
“t” tests are statistical tests of significance which were framed by W.Gossett under the nickname of “Student”, hence the name “Student’s t test”. These tests are used for testing a particular hypothesis related to a pair of observations. Either the hypothesis can…

## Extract of sample"Probem Set 5"

Download file to see previous pages This means that out of 100 observations more than 5 observations between the difference of means have happened due to chance factors of random sampling, and it can be concluded that the mean score of two groups tested does not statistically differ from each other (Lehmann & Romano, 2005).
On the other hand alternative hypothesis contends that there is certainly a significant difference between the group means if the p value of such test is less than the chosen level of significance often considered at 0.05 levels or lesser. This means that out of 100 observations less than 5 observations of the difference between the means has happened due to chance factors of random sampling, which can be neglected and it can be concluded that the mean score of two groups tested statistically differ from each other. The “t” tests are carried out with a sample size less than 30 (N ...Download file to see next pagesRead More
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