GATE AG 2018 • Q15 MCQ • 1 Mark

Section 1: Engineering Mathematics

Probability and Statistics

Subtopic: Mean, median, mode and standard deviation

Question Statement:

For accepting or rejecting a null hypothesis, which one of the following is NOT used as a significance test method in statistics?

Options:

  • (A) Z-test
  • (B) Student's t-test
  • (C) Pearson's correlation
  • (D) Relative standard deviation

Official Answer Key:

D

Step-by-Step Solution & Explanation

Z-test, t-test and the significance test on Pearson's correlation coefficient all yield a test statistic that is compared with a critical value to accept/reject H₀. Relative standard deviation (= SD/mean × 100) is only a measure of dispersion / precision; it has no associated null-hypothesis distribution.

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