MCQs on t-test for Paper 1 – Research Aptitude

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MCQs on t-test for Paper 1 – Research Aptitude

UGC NET Paper 1 / Teaching & Research Aptitude

1. A t-test is a statistical test used to:
A) Measure association between two variables
B) Compare means of two groups
C) Predict value of a dependent variable
D) Test variance of multiple groups
Answer: B) Compare means of two groups

2. Which type of t-test is used when comparing the mean of a sample with a known population mean?
A) Independent samples t-test
B) Paired samples t-test
C) One sample t-test
D) ANOVA
Answer: C) One sample t-test

3. An independent samples t-test requires:
A) One group measured twice
B) Two different groups with different subjects
C) Three or more groups
D) Nominal data only
Answer: B) Two different groups with different subjects – e.g., males vs females

4. Paired samples t-test is also called:
A) Unrelated t-test
B) Dependent t-test
C) One sample t-test
D) Z-test
Answer: B) Dependent t-test – Used for before-after, matched pairs

5. The main assumption for a t-test is that the data should be:
A) Nominal scale
B) Ordinal scale
C) Interval or ratio scale and normally distributed
D) Always qualitative
Answer: C) Interval or ratio scale and normally distributed

6. If the calculated t-value is greater than the table/critical t-value, we:
A) Accept the null hypothesis
B) Reject the null hypothesis
C) Conduct ANOVA
D) Increase sample size
Answer: B) Reject the null hypothesis – Means difference is statistically significant

7. Degrees of freedom for an independent t-test with n1=30 and n2=25 is:
A) 55
B) 54
C) 53
D) 29
Answer: C) 53 – df = n1 + n2 - 2 = 30 + 25 - 2 = 53

8. A researcher wants to test if coaching improves test scores. Same students are tested before and after coaching. Which test is appropriate?
A) One sample t-test
B) Independent t-test
C) Paired t-test
D) Chi-square test
Answer: C) Paired t-test – Same group, two conditions

9. The t-test was developed by:
A) Karl Pearson
B) R.A. Fisher
C) William Sealy Gosset
D) Charles Spearman
Answer: C) William Sealy Gosset – Published under pseudonym "Student"

10. If sample size is very large >30, t-test and Z-test results will:
A) Differ significantly
B) Be almost same
C) Be invalid
D) Need ANOVA instead
Answer: B) Be almost same – t-distribution approaches normal distribution as n increases

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