Which of the following statements about a parameter and a statistic is NOT correct?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → A statistic has the same value for every sample drawn from a population.
A parameter describes the whole population and is computed from all its observations; it is generally written with Greek letters (\(\mu\), \(\sigma\)). A statistic is computed from a sample and is written with English letters (\(\bar{x}\), s). So Options (1), (2) and (3) are correct.
Different samples contain different members, so the value of a statistic generally changes from sample to sample. So Option (4) is not correct.