For the independent t-test, it actually tries to test whether there is any significant difference between the means from two groups of sample data. In order to carry out this test, we already have the following assumptions. First, these two sets of data should be normally distributed. Second, the two sets of data should be sampled independently from the two populations being studied. Third, the data are best suitable for t-tests ...
This solution provides a detailed explanation about differences between the chi-square goodness-of-fit test and the independent t-test.