Match List-I with List-II
| List-I (Term) | List-II (Meaning) | ||
| (A) | Statistical inference | (I) | The standard deviation of the sampling distribution of the sample mean |
| (B) | Central limit theorem | (II) | The number of values that are free to vary when a statistic is calculated |
| (C) | Degrees of freedom | (III) | Drawing conclusions about a population from the data of a sample |
| (D) | Standard error of the mean | (IV) | The sampling distribution of the sample mean becomes nearly normal as the sample size grows, whatever the shape of the population |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A)-(III), (B)-(IV), (C)-(II), (D)-(I)
(A) Statistical inference
This matches (III): inference means using a sample to draw conclusions about the whole population.
(B) Central limit theorem
This matches (IV): as the sample size grows, the sampling distribution of \(\bar{x}\) approaches the normal distribution, whatever the shape of the population.
(C) Degrees of freedom
This matches (II): it counts the values that can vary freely, for example n − 1 values once the mean of n values is fixed.
(D) Standard error of the mean
This matches (I): \(\sigma/\sqrt{n}\) is the standard deviation of the sampling distribution of \(\bar{x}\).