Paper 1 · Research Aptitude
UGC NET December 2023 (12.12.2023) Shift-II
A student's t-test would be useful in which of the following? Choose the correct answer from the options given below.
- 1. Testing the significance of the difference of two sample means
- 2. Testing the stationarity of a time series
- 3. Testing the significance of a correlation coefficient
- 4. Testing the significance of a regression coefficient
- 5. Testing the goodness of fit of a model
A1, 2 and 3 only
B2, 3 and 4 only
C1, 3 and 4 only ✓ Correct
D1, 2, 4 and 5 only
Correct answer: (C) 1, 3 and 4 only — The t-test is useful for the difference of means and the significance of correlation and regression coefficients, so the answer is 1, 3 and 4.
Explanation
★The t-test is useful for the difference of means and the significance of correlation and regression coefficients, so the answer is 1, 3 and 4.
★A t-test compares means and tests coefficients using the t distribution.
★It tests whether the difference between two sample means is significant.
★It tests whether a correlation coefficient is significantly different from zero.
★It tests whether a regression coefficient is significant.
★Stationarity of a time series and goodness of fit use other tests, so statements 2 and 5 are excluded.
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