Which of the given options best describes the truthfulness of the following…
2023
Which of the given options best describes the truthfulness of the following statements? Statements: i) In probability theory, an outcome is the result of a random experiment. ii) The purpose of statistical inference is to estimate the uncertainty or sample-to-sample variation. iii) A sampling error is the difference between the true population values (called parameters) and the measured sample values (called statistics).
- A.
i-True, ii-True, iii-True
- B.
i-False, ii-True, iii-True
- C.
i-True, ii-False, iii-True
- D.
i-False, ii-False, iii-True
Attempted by 7 students.
Show answer & explanation
Correct answer: A
To evaluate the truthfulness of the provided statements, we analyze each from a statistical and probabilistic perspective:
Statement Analysis
Statement i: In probability theory, an outcome is the result of a random experiment.
Status: True. By definition, an outcome is any single result or consequence of a random experiment or trial.
Statement ii: The purpose of statistical inference is to estimate the uncertainty or sample-to-sample variation.
Status: True. Statistical inference uses data from a sample to draw conclusions about a population, which inherently involves estimating uncertainty and quantifying how results might vary across different samples.
Statement iii: A sampling error is the difference between the true population values (called parameters) and the measured sample values (called statistics).
Status: True. Sampling error represents the natural discrepancy that occurs when a sample is used to estimate population characteristics, calculated as the difference between the population parameter and the sample statistic.
Conclusion
Since all three statements are accurate, Option A is the correct choice.