The value of F with area 0.05 to its right for = 6 and = 9 is 3.37.

Question

The value of F with area 0.05 to its right for  = 6 and  = 9 is 3.37.

Quizplus · Accepted Answer

This statement is based on a statistical hypothesis test, where the null hypothesis is that the population means of two groups are equal, and the alternative hypothesis is that they are different.

Assuming a two-sample t-test with unequal variances and a significance level of 0.05, a t-statistic of 3.37 corresponds to a p-value of approximately 0.003, which is less than the significance level.

Therefore, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the population means of the two groups are different. The area of the t-distribution to the right of 3.37 represents the probability of observing a t-statistic as extreme or more extreme than this under the null hypothesis, which is approximately 0.025. This is equivalent to the probability of observing a difference in means as extreme or more extreme than the observed difference of 3 between the two groups by random chance alone.

The Value of F with Area 0