Quiz #9

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answer
Question 1 False
Question 2 False

Question 1

Indicate if the following statement is true or false by placing the word True or False in the proper answer box above.
When doing a one-way ANOVA F test, a large p-value provides statistically significant evidence that not all of the means are equal.
The statement is false. A small p-value allows one to reject the null hypothesis of equal means and claim that there is statistically significant evidence to support the alternative that not all of the means are equal. A large p-value does not correspond to strong evidence against the null hypothesis of equal means. (A large F statistic allows one to claim that there is statistically significant evidence to support the alternative that not all of the means are equal, but a large F corresponds to a small p-value.)

Question 2

Indicate if the following statement is true or false by placing the word True or False in the proper answer box above.
When doing a one-way ANOVA F test, a large value of the test statistic provides statistically significant evidence that all of the means are different (i.e., no two of the means are the same).
The statement is false. The large F statistic value corrsponds to strong evidence against the null hypothesis of equal means and provides statistically significant evidence that not all of the means are the same, but it doesn't provide evidence that they are all different, since all but one of the means can be the same.