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State the requirements that must be satisfied to use the​ one-way ANOVA procedure. Select all that apply. A. The k samples must be independent of each other. B. There must be k simple random​ samples, one from each of k populations. C. The populations must be normally distributed. D. There must be k simple random​ samples, each from the same population. E. The populations must have the same variance. F. The populations must have the same mean.

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Answer:

The correct option are: (A), (B), (C) and (E).

Step-by-step explanation:

The One-Way ANOVA is a statistical test used to compare the three or more population means.

The hypothesis is:

H₀:  The population means are equal, i.e. μ₁ = μ₂ = μ₃ =...= μₙ

Hₐ: At least one of the population mean differ.

The Assumptions of One-way ANOVA are:

  1. The samples selected from each population are independent of each other.
  2. The population distribution of the dependent variables follow Normal distribution.
  3. The population variances are always equal for all the groups.

Thus, the correct option are: (A), (B), (C) and (E).