Question

ANOVA

For the data below -

1. Write H₀ (1 point)
2. Write H₁ (1 point)
3. Compute and report the F statistic ANOVA (using Excel); use (α = .05) - ANOVA (single factor); hint also compute descriptive statistics to help with d6 (2 points)
4. Retain or reject H₀ (1 point)

condition 1	condition 2	condition 3
0	6	6
4	8	5
0	5	9
1	4	4
0	2	6

Answer 1

i am using excel to solve the problem.

steps:-

copy the data table in excel data data analysis ANOVA: single factor okin input range select the entire range of the table in grouped by tick column tick labels in first row in alpha type 0.05 in output options select new worksheet ply ok.

your excel output be:-

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
condition 1	5	5	1	3
condition 2	5	25	5	5
condition 3	5	30	6	3.5
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	70	2	35	9.130435	0.003889	3.885294
Within Groups	46	12	3.833333
Total	116	14

***SOLUTION TO THE PROBLEM***

hypothesis:-

the test statistic be:-

decision rule :-

reject H₀ , if :

decision:-

we reject the null hypothesis.

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.