Suppose you wish to test equality of means from three independent populations A,

Question

Suppose you wish to test equality of means from three independent populations A, B, and C. You select SRS's of size n = 20 from each population. Which one of the following describes a situation in which the conditions for performing an ANOVAA F-test have not been met? A) Samples from A and B are roughly symmetric and unimodal, the sample from C is slightly skewed right. The sample standard deviations are approximately equal. B) The sample from A is roughly symmetric and unimodal, the samples from B and C are slightly skewed right. The sample standard deviations are approximately equal. C) The .sample from A is roughly symmetric and unimodal, the samples from B and C are slightly skewed right. Sample standard deviations are s_A = 4.12; s_B = 3.15; s_C = 5.05. D) Samples from A and B are roughly symmetric and unimodal, the sample from slightly skewed right. Sample standard deviations are s_A = 3.21; s_B = 3.16; s_C = 1.52. E) More than one of the scenarios describes a situation in which the conditions for the ANOVA F test have not been met.

Explanation / Answer

D and C are definitely violations of the assumptions since a F-test assumed equality of variances.

Hence, the correct answer is D that more than one of the scenarios describes a situation where the conditions are not met.

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