Question

A researcher records the following data for each of three groups.

Group A Group B Group C

11 14 11

13 6 10

6 4 8

5 9 4

10 12 12

What is the value of the F-statistic? (Round your answer to two decimal places.)

F =

Explain your answer.

__F is the indicated value because the groups means are different. There is substantial variability between groups.

___F is the indicated value because the group means are the same. There is substantial variability between groups.

___F is the indicated value because the group means are different. There is no variability between groups.

____F is the indicated value because the group means are the same. There is no variability between groups.

Answer 1

Using excel<data<megastat<anova one factor<Select all data

The output is as follows:

One factor ANOVA
	Mean	n	Std. Dev
	9.0	5	3.39	Group A
	9.0	5	4.12	Group B
	9.0	5	3.16	Group C
	9.0	15	3.32	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	0.00	2	0.000	0.00	1.0000
Error	154.00	12	12.833
Total	154.00	14

Answer F=0.00

since the p-value is greater than the alpha (0.05), we fail to reject the null hypothesis. there is not sufficient evidence that at least one of the means differs from the rest.

The correct option is F is the indicated value because the group means are the same. There is no variability between groups.

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