Conditions for T-test
T-test or small sample test is used to compare a sample mean & population mean only when-
- Sample size is small
- Population std. deviation (or) population variance is not known
- Both conditions must be fulfilled — Correct Answer
- None of the above
Explanation:
Correct Answer: Both conditions must be fulfilled
The T-test requires both conditions: (1) sample size < 30 AND (2) population standard deviation is not known. If either condition is not met, the T-test is not applicable.
Types of T-test
- Paired T-test: Used when the same subjects are measured twice (before and after treatment), or matched pairs are used.
- Unpaired T-test: Used when two independent groups are compared.
Quick Reference: Statistical Test Selection
| Scenario | Correct Test |
|---|---|
| n > 30, population SD known | Z-test |
| n < 30, population SD unknown | T-test |
| Compare two variances | F-test |
| Compare > 2 sample means | F-test / ANOVA |
| Enumeration data, non-parametric | Chi-square test |
📚 About this Topic — Animal Genetics & Breeding
This multiple choice question is from Animal Genetics & Breeding, Animal Refresher. It has 4 options with a detailed explanation of the correct answer. Practice more MCQs from Animal Genetics & Breeding to strengthen your preparation.
