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Discussion

Which of the given options best describes the truthfulness of the following statements? i) In the 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

Answer: A

All three statements are true. In probability theory an outcome is the result of a random experiment. Statistical inference aims to estimate the uncertainty, or the sample to sample variation, in what is learnt from a sample. A sampling error is the difference between the true population values (parameters) and the measured sample values (statistics). The other options mark at least one of these as false, which is wrong. An outcome such as getting a 4 on one roll of a die is a result of a random experiment, which is the idea in statement i.

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