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Discuss the difference between dependent and independent samples and how they are utilized in hypotheses testing....

Discuss the difference between dependent and independent samples and how they are utilized in hypotheses testing. Tests of Hypothesis Analysis of Variables are the chapter topics.

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Two samples are dependent if the members of one sample can be used to determine the members of the other sample. That means they are related in some manner, like observations before and after, matched pairs, etc.

Eg. The marks obtained by students of a particular class when they are in 9th grade and 10th grade are dependent as the marks obtained are of same people.

On the other hand, Two samples are independent if the sample values selected from one population are not related or somehow paired or matched with the sample values selected from the other population.

Eg. Marks obtained by by students in 9th grade belonging to two different division(section).

In testing of hypothesis, to check the equality of population means where the two samples are dependent (for example weights of a sample of people before and after joing gym) we general use paired t-test to examine the hypothesis. Whereas, if the samples are independent (Eg. maximum speed of car manufactured and build by two different companies) We use two sample t test to test the hypothesis.

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