Question

Q 2 Four hostels took a random sample of students regarding their grade averages for the past term. The results are shown below:

Hostel 1	Hostel 2	Hostel 3	Hostel 4
2.17	2.63	2.63	3.79
1.85	1.77	3.78	3.45
2.83	3.25	4	3.08
1.69	1.86	2.55	2.26
3.33	2.21	2.45	3.18

Use a significance level of 1%, is there a difference in grade averages among the hostels? (Critical Value = 4). Also make the ANOVA summary table.

Answer 1

excel<data<data analysis<oneway anova

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Column 1	5	9.87	1.974	0.32048
Column 2	5	11.72	2.344	0.37108
Column 3	5	15.41	3.082	0.55417
Column 4	5	15.76	3.152	0.32437
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	4.94332	3	1.647773	4.197881	0.022717	5.292214
Within Groups	6.2804	16	0.392525
Total	11.22372	19

null and alternate hypothesis:

H0:

H1: atleast one mean is different to another

test statistics:

F = 4.1979

p value = 0.0227

since p value is greater than level of significance so we fail to reject the null hypothesis .so there does no significant difference between their means.