t test, because the z test requires knowing the population standard deviation and that's rare. The t test embodies an estimate of the standard deviation.
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paired t-test is more powerful because it utilizes information
The"t" test, (called the "small 't' test, to distinguish it from the large 'T' test) is a test for deviation from a known norm, using a smaller sample set than the one required by the large T test. It is said to have been developed by the head of quality control at the Guinness Brewery in Ireland.
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The Independent Samples T Test compares the mean scores of two groups on a given variable.
In a general t-test, there is no relationship between the members of one sample and the other. In a paired t-test they are connected in some way so that they are likely to give similar outcomes. This means that more of the difference between them can be attributed to the "treatment".