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Difference between paired t teat & independent sample t test

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Compare and contrast a Difference of Means test with a Paired Difference test. What, fundamentally, are we testing for in each? When do you use the difference of means? When do you use the paired difference? Explain why in both instances.

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The solution gives the situations in which paired t test and independent sample t test are appropriate.

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Compare and contrast a Difference of Means test with a Paired Difference test. What, fundamentally, are we testing for in each? When do you use the difference of means? When do you use the paired difference? Explain why in both instances.

Answer
The t statistic was introduced by William Sealy Gosset for cheaply monitoring the quality of beer brews. "Student" was his pen name.
Independent Sample Student's Test
Independent Sample Student's't Test is used to compare two small sets of quantitative data when samples are collected independently of one another. Student's t test for independent samples is used to determine whether two samples were drawn from populations with different means. When one randomly takes replicate measurements from a population he/she is collecting an independent ...

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