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GATE 2023 XH5 (Psychology) – Question 61

Research Methods and Statistics · Statistics in Psychology: Central tendency and dispersion, normal probability curve, parametric and non-parametric tests, effect size and power analysis · 2 marks · Multiple select

Which of the following describe(s) the standard error of the mean?

  1. It is the standard deviation of the sampling distribution of the mean
  2. It reflects the accuracy with which sample means estimate the population mean
  3. It is the difference between mean and standard deviation of a distribution
  4. It is the standard deviation of a stratified sample

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Show answer and explanation

Correct answer: (A) It is the standard deviation of the sampling distribution of the mean; (B) It reflects the accuracy with which sample means estimate the population mean

Explanation

The standard error of the mean is the standard deviation of the sampling distribution of the mean, and it shows how accurately a sample mean estimates the population mean.