The uses of the student's t-test are which of the following? Choose the correct answer from the options given below.
1.To compare two groups to see if their means differ
2.To compare multiple groups (more than two) to see if their means differ
3.To test the significance of a correlation coefficient
4.To test the significance of a regression coefficient
A1, 2 and 3 only
B2 and 4 only
C1, 3 and 4 only ✓ Correct
D1, 2, 3 and 4
Correct answer: (C) 1, 3 and 4 only
Explanation
The student's t-test compares two group means and tests the significance of correlation and regression coefficients, so statements 1, 3 and 4 are correct.
Comparing two group means is its classic use with independent or paired samples.
It also tests whether a correlation coefficient differs significantly from zero.
It tests whether a regression coefficient differs significantly from zero.
Comparing more than two group means is the task of analysis of variance, not the t-test.
The t distribution suits small samples with unknown population variance.
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