Question

It is desirable to be able to distinguish between strong arguments and weak arguments. Strong arguments are those which are both important and directly related to the question. Weak arguments are those which are of minor importance and also may not be directly related to the question or may be related to trivial aspects of the question. The Statement below is followed by two arguments numbered I and II. You have to decide which of the arguments is a strong argument and which is a weak argument.
Statement: Should larger the sample size minimize the experimental error?
Arguments: I. Yes, this is one of the ways to improve the efficiency of the estimator. II. No, sample size is not at all a matter.

• A. If only Argument I is strong
• B. If only Argument II is strong
• C. If either I or II is strong
• D. If neither I nor II is strong

Hint:

Larger sample size generally leads to better estimation accuracy and lower sampling error.

Answer 1

The Correct Option is A

Step 1: Examine Argument I.
A larger sample size generally reduces sampling variability and improves estimator efficiency. Hence this argument is valid.

Step 2: Examine Argument II.
Sample size is a crucial factor in statistical analysis. Therefore saying that sample size is not at all a matter is incorrect.

Step 3: Conclusion.
Only Argument I is strong. \[ {\text{Option (A)}} \]