Question

Tintle, Introduction to Statistical Investigations (Custom WileyPLUS Edition) Help I System Announcement Chapter 09.02 Exercise Question 04 Suppose you are conducting an ANOVA test with four groups and each group has a sample size of 20. Your answer is incorrect. Try agairn. Suppose the variability between groups increases. Does the F-statistic increase or decrease? Does the p-value increase or decrease 0 If the variability between groups increases, the F-statistic will increase and the p-value will increase. 0 If the variability between groups increases, the F-statistic will decrease and the p-value will decrease. O If the variability between groups increases, the F-statistic will decrease and the p-value will increase. O If the variability between groups increases, the F-statistic will increase and the p-value will decrease. Your answer is incorrect. Try again. Suppose the vaniability within groups increases. Does the F-statistic increase or decrease? Does the p-value increase or decrease? O If the variability within groups increases, the F-statistic will decrease and the p-value will increase. If the variability within groups increases, the F-stabsbc will increase and the p-value will decrease. ⑨ Po X. S, ○ If the variability between groups increases, the F-statistic will increase and the p-value will increase. O If the variability between groups increases, the F-statistic will decrease and the p-value will decrease. O If the variability between groups increases, the F-statistic will decrease and the p-value will increase. O If the variability between groups increases, the F-statistic will increase and the p-value will decrease. Your answer is incorrect. Try again. Suppose the variablity within groups increases. Does the F-statistic increase or decrease? Does the p-value increase or decrease? O If the variability within groups increases, the F-statistic will decrease and the p-value will increase If the variability within groups increases, the F. O If the variability within groups increases, the F-statistic will decrease and the p-value will decrease. 0 If the variability within groups increases, the F-statistic will increase and the p-value will increase. Question Attempts: 1 of 2 used

Answer 1

F - statistic = Between groups variance/ Within groups variance

So, we get the following results:

(a)

Correct option:

If the variability between groups increases, the F - statistic will increase and the p -value will decrease.

(4th option given)

(b)

Correct option:

If the variability within groups increases, the F - statistic will decrease and the p -value will increase.

(1st option given)