Question

A video game developer is testing a new game on three different groups. Each group represents a different target market for the game. The developer collects scores from a random sample from each group. The results are shown below

Group A	Group B	Group C
98	153	102
104	149	108
99	155	195
109	115	183
111	128	160

What is the Critical Value of F Statistics (at p-value = 10%) to test the null hypothesis that group means are jointly equal against the alternative that group means are different?

Answer 1

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Group A	5	521	104.2	33.7
Group B	5	700	140	311
Group C	5	748	149.6	1820.3
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	5724.933	2	2862.467	3.966467	0.047606	3.885294
Within Groups	8660	12	721.6667
Total	14384.93	14

Here F critical value=3.8852

Here P value is less than 005 so we reject H0 so there is statisticalyy significant difference between this three groups.