Match List-I with List-II
| List-I | List-II | ||
| (A) | The statistical constants or measures of the population are called | (I) | Statistic |
| (B) | The statistical measures or constants computed from the sample observations alone are called | (II) | Standard error |
| (C) | The standard deviation of the sampling distribution of a statistic is known as its | (III) | Significance level |
| (D) | In a hypothesis test, the probability of making a wrong decision when the null hypothesis is true is called | (IV) | Parameters |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
(A) The statistical constants or measures of the population are called
This matches (IV) Parameters.
Population measures such as μ and σ are parameters.
(B) The statistical measures or constants computed from the sample observations alone are called
This matches (I) Statistic.
Measures such as \( \bar{x} \) and s, computed from a sample, are statistics.
(C) The standard deviation of the sampling distribution of a statistic is known as its
This matches (II) Standard error.
For example, the standard error of \( \bar{x} \) is \( \frac{\sigma}{\sqrt{n}} \).
(D) In a hypothesis test, the probability of making a wrong decision when the null hypothesis is true is called
This matches (III) Significance level.
Rejecting a true null hypothesis is a Type I error, and its probability is the level of significance α.
So the matching is (A)-(IV), (B)-(I), (C)-(II), (D)-(III).