Question

An educator wants to evaluate four different methods aimed at reducing the time children spend "off task" in the classroom. To test these methods, she implements one method in each of four similar classrooms and records the time spent off task (in minutes) in each classroom. The results are given in the table.

Classroom Method
A	B	C	D
2	4	3	3
1	3	6	2
3	2	5	5
6	0	5	4
4	0	0	3
1	5	4	3
2	1	0	2
4	4	4	4
0	2	3	0

(a) Complete the F-table. (Round your answers to two decimal places.)

Source of Variation	SS	df	MS	F
Between groups
Within groups (error)
Total

(b) Is it necessary to compute a post hoc test? Explain. (Assume alpha equal to 0.05.)

Yes, post hoc analyses are appropriate because the ANOVA is significant.

No, post hoc analyses are not appropriate because the ANOVA is not significant.    

You may need to use the appropriate table in Appendix C to answer this question.

https://www.webassign.net/priviterastats3/priviterastats3_appendix_c.pdf

Answer 1

Answer:

Given Data

(a)The solution of the given problem is

Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level α = 0.05

Equal variances were assumed for the analysis.

Summary of Data
	Treatments
1	2	3	4	5	Total
N	9	9	9	9		36
∑X	23	21	30	26		100
Mean	2.5556	2.3333	3.3333	2.8889		2.778
∑X2	87	75	136	92		390
Std.Dev.	1.8782	1.8028	2.1213	1.453

Factor Information

Factor Levels Values
Factor 4 A, B, C, D

Analysis of Variance

Source	SS	df	MS
Between treatments	5.1111	3	1.7037
Within treatments	107.1111	32	3.3472
Total	112.2222	35

F-Value = 0.50899

(B)

No, post hoc analyses are not appropriate because the ANOVA is not significant.    

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