What conditions are necessary in order to use the dependent samples t-test for t

Question

What conditions are necessary in order to use the dependent samples t-test for the mean of the difference of two populations? Choose the correct answer below. A. Each sample must be randomly selected from a normal population and the two samples must be independent. B. Each sample must be randomly selected from a normal population and each member of the first sample must be paired with a member of the second sample. C. Each sample must be randomly selected from any population and each member of the first sample must be paired with a member of the second sample. D. Each sample must be randomly selected from any population and the two samples must be independent.

Explanation / Answer

There are 4 assumptions, two of them are:

1. Samples are not independent , the each member of 1st sample must be paired with a member of 2nd sample

2. The distribution of the differences in the dependent variable between the two related groups should be approximately normally distributed

These have to met for depdendent samples t-test for the mean of difference of two population.

So, Answer is B

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