Question

7. A medical examiner wants to determine if there is a difference between the time it takes to relieve headaches between three different medications. Using the sample results below can you conclude there is a difference in mean time for the three medications?

Medication A	Medication B	Medication C
12	16	14
15	14	17
17	21	20
12	15	15
	19

Answer 1

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance	std dev
Medication A	4	56	14.000	6.0000	2.4495
Medication B	5	85	17.000	8.5000	2.9155
Medication C	4	66	16.500	7.0000	2.6458
					#VALUE!
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	21.92	2	10.96	1.50	0.2690	4.10
Within Groups	73.00	10	7.30
Total	94.92	12

Ho: µ1=µ2=µ3
H1: not all means are equal
value of test stat=   1.50
p value is    0.2690
   Decision:   p-value>α , do not reject null hypothesis    
          
conclusion :    there is not enough evidence of significant mean difference among three treatments