Suppose a researcher observed from the analyses carried out the F-values 4.41 and 1.11. Which of the two cases are likely averages not come from the same population (ie, differences not statistically significant);
a) none of the above
b) 1.11
c) 4.41
You would need more information to determine if the F-values were statistically significant; therefore, I would say a)none of the above.
Thank you mathGuru... I believe the same but there is a confusion with the word "suppose"....
It doesnt ask which is..It says to suppose.. which from the two given values has the higher possibility to not be statistically significant..
Do you stil support none of the above?
I would.
Thank you both of you... And I agree with you... Because it it depends on the dfs so is tricky to connect the higher p-value with higher probability for significance whithout knowing the dfs.
To determine if the differences between two average values are statistically significant, we need to compare the F-values to the critical value of F for a given significance level. Since you haven't provided the sample sizes or degrees of freedom, I cannot calculate the critical value. However, I can explain how to determine which of the two cases are likely to have averages that do not come from the same population.
The F-value is calculated by dividing the variation between the groups by the variation within the groups. In general, a higher F-value indicates a larger difference between the group means.
To compare the F-values to the critical value of F, we need to know the significance level. Let's assume a typical significance level of 0.05 (5%).
Case a) None of the above: Since this option suggests that both F-values are not statistically significant, we need to check the critical value of F for a significance level of 0.05. If both F-values are smaller than the critical value, then both cases are likely to have averages that do not come from the same population.
Case b) 1.11: To determine whether an F-value of 1.11 is statistically significant, we need to compare it to the critical value of F for a significance level of 0.05. If 1.11 is smaller than the critical value, then the differences are not statistically significant, and we cannot conclude that the averages do not come from the same population.
Case c) 4.41: Similar to case b, we need to compare the F-value of 4.41 to the critical value of F for a significance level of 0.05. If 4.41 is larger than the critical value, then the differences are statistically significant, and we can conclude that the averages do not come from the same population.
In conclusion, without the critical value of F for a given significance level, we cannot determine whether the differences for either case b or case c are statistically significant. Thus, the correct answer is a) none of the above.