Paper 1 · Research Aptitude
UGC NET December 2021 June 2022 (09.07.2022) Shift-II
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 — Statement I is true and Statement II is false, so the answer is that only Statement I is true.
Explanation
★Statement I is true and Statement II is false, so the answer is that only Statement I is true.
★The standard error is defined as the standard deviation of the sampling distribution of a statistic.
★So the first statement states the standard definition correctly and is true.
★The standard error measures how much a sample estimate varies from the true value.
★A sample is conventionally called small when its size is less than 30.
★A size between 30 and 60 is treated as a medium, not a small, sample.
★So the second statement misstates the small sample rule and is false.
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