Which of the following statements about required conditions for the ANOVA F-test

Question

Which of the following statements about required conditions for the ANOVA F-test is correct in this situation? A) None of the three distributions of sample guesses should show signs of strong skew. B) As long as there are no outliers, the ANOVA test is appropriate. C) As long as two of the three distributions of sample guesses arc close to Normally distributed, the test is robust with respect to strong skew in the third distribution. D) The shapes of the distributions of samples guesses don't matter, because the condition of equal sample standard deviations is violated. E) The shapes of the distributions of samples guesses don't matter, because the condition of independence has been violated, since the three grade levels were sampled from the same school. Assuming all necessary conditions have been met, what is the appropriate conclusion for the ANOVA F test? A) Reject H_0. These data do not provide enough evidence to conclude that there is a difference in the true mean age guesses in the three age groups. B) Reject H_0. These data provide convincing evidence that there is a difference in the true mean age guesses in these three age groups. C) Accept H_0. These data provide convincing evidence that there is a difference in the true mean age guesses in these three age groups. D) Fail to reject H_0. These data do not provide enough evidence to conclude that there is a difference in the true mean age guesses in the three age groups. E) Fail to reject H_0. These data provide convincing evidence that there is a difference in the true mean age guesses in these three age groups. Based on the numerical summaries in the computer output, which of the follow statement is true? A) All three samples have about the same range. B) The mean age guesses by seniors is closest to the person's actual age. C) There appears to be little difference between the age guesses of the three age groups. D) Age guesses by juniors are significantly higher than age guesses by sophomores. E) On average, the age guesses of seniors is much lower than that of the other two age groups.

Explanation / Answer

12. Below are the assumption of ANOVA

answer is d.

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