Question

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

*include null and alternate hypothesis, a p-value, and a conclusion PRIVATE about the null hypothesis*

Answer 1

ANSWER::

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

null and alternate hypothesis:

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  

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