Given below are two statements. In the light of the statements, choose the correct answer.

Statement I:The standard deviation of a sampling distribution of a statistic is often called the 'standard error'.

Statement II:When the number of samples taken from a population is between 30 and 60, they are called small samples.

ABoth Statement I and Statement II are true

BBoth Statement I and Statement II are false

CStatement I is true but Statement II is false ✓ Correct

DStatement I is false but Statement II is true

Correct answer: (C) Statement I is true but Statement II is false

Explanation

The standard deviation of a sampling distribution of a statistic is often called the standard error.

The claim that samples of 30 to 60 are called small samples is false, since a sample is usually termed small when it is below 30.

Standard error measures how much a sample statistic varies from sample to sample.

Standard error decreases as the sample size increases.

Small-sample inference relies on the t-distribution rather than the normal curve.

A larger sample yields a smaller standard error and more precise estimates.

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