The value of the test statistic in a completely randomized design for ANOVA is F = 6.29.The degrees of freedom for the numerator and denominator are 5 and 10,respectively.Using an F table,the most accurate statements to be made about the p-value is that it is:
A)greater than 0.05
B)between 0.001 and 0.010.
C)between 0.010 and 0.025.
D)between 0.025 and 0.050.

Question

Quizplus · Accepted Answer

The p-value is determined by comparing the calculated F value to critical values in an F distribution table for the given degrees of freedom. Given that the degrees of freedom for the numerator (between groups) is 5 and for the denominator (within groups) is 10, and the F value is 6.29, the p-value would be between 0.001 and 0.010. This range indicates that the observed F value is quite unlikely under the null hypothesis, suggesting strong evidence against the null hypothesis.

The Value of the Test Statistic in a Completely Randomized