Q19 — Probability and Statistics

Q19

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Which statement or statements regarding the chi-squared distribution (χ 2) is correct?

  1. The chi-squared distribution is a distribution of the sum of the squares of n independent standard normal random variables at n degrees of freedom.
  2. The area under the chi-squared distribution is 1.
  3. The chi-squared distribution is not used to compare observed frequency distributions with expected or theoretical distributions.
  4. The chi-squared distribution cannot be used for hypothesis testing.
  5. As the degrees of freedom increase, the chi-squared distribution becomes increasingly less similar to a normal distribution.