Arthritis Pain Formulas
a Pharmaceutical Manufacturer Has Been Researching New

Arthritis Pain Formulas
A pharmaceutical manufacturer has been researching new medications formulas to provide quicker relief of arthritis pain.Their laboratories have produced three different medications and they want to determine if the different medications produce different responses.Fifteen people who complained of arthritis pains were recruited for an experiment;five were randomly assigned to each medication.Each person was asked to take the medicine and report the length of time until some relief was felt (minutes).The results are shown below.(Assume normal distributions with equal variances. )
$$\begin{array}{l}\text { Time in Minutes Whtil pelef is Felt (min) }\\\begin{array} { | c c c | } \hline \text { Medication 1 } & \text { Medication 2 } & \text { Medication } 3 \\\hline 4 & 2 & 6 \\8 & 5 & 7 \\6 & 3 & 7 \\9 & 7 & 8 \\8 & 1 & 0 \\\hline\end{array}\end{array}$$
-{Arthritis Pain Formulas Narrative} Do these data provide sufficient evidence to indicate that differences in the average time of relief exist among the three medications? Use $\alpha$ = 0.05.