t-test is the statistical test used to find the difference of
mean between two groups
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a t test is used inplace of a z-test when the population standard deviation is unknown.
Yes, it is. The one sample t-test is a study of the parameter population-mean. You can also use the t-test to test for the difference between two population means (both parameters).
A t-test is an assessment of whether the means of two groups are statistically different from one another (running a t-test is appropriate when you want to compare the means of two groups). A t-test tell you the probability that those two sets of values come from different groups.
A paired samples t-test is an example of parametric (not nonparametric) tests.
t-test