What conclusion is justified if an F-ratio of .93 is obtained in a one-way ANOVA?
A) The null hypothesis is accepted, with the chance of this conclusion being wrong equal to the α level selected.
B) Since the numerator and the denominator of the F-ratio both estimate the same value, a result of less than 1 is not possible; hence, a mathematical error must have occurred.
C) There is no significant difference among treatment means, and sampling error caused the F-ratio to be less than 1.
D) Acceptance of the null hypothesis is called for, but the F-ratio of less than 1 suggests a probable Type II error.

Question

Quizplus · Accepted Answer

An F-ratio of less than 1 indicates that the variance within groups is higher than the variance between groups. This suggests that there is no significant difference among treatment means, and the lower F-ratio is due to sampling error. Therefore, Choice C is the correct answer. Choices A and D suggest accepting the null hypothesis, which is not entirely accurate as the decision to accept or reject the null hypothesis depends on the alpha level and the degrees of freedom. Choice B suggests a mathematical error, which is unlikely to occur in a one-way ANOVA calculation.

What Conclusion Is Justified If an F-Ratio of