Question

2. A clinical pharmacologist wishes to compare two pain-relieving drug products (A and B). 6 subjects were allotted at random to drug A and 8 to drug B. The results from the experiment are given as follows. 7 Drug A Drug B 4. 9 Test the hypothesis that the drug products have the same effect on pain relief at 5% significance level.

Answer 1

Drug A Drug B 49 Mean 1.09545 1.77281 Std. deviation Sample

Given Sample size Sample mean Standard deviation Sample 1 ni = 6 X1 = 5 Si = 1.0955 Sample 2 n2 = 8 12 = 7 S2 = 1.7728 Test hypothesis are Null hypothesis Alternate hypothesis = 0 Ho : Uı - u2 H: U1 - u2 Pooled Standard deviation Pooled variance S2 = (nı-1)sí+(12-1)s ni+n2-2 = (6-1)*1.09553)+((8-1)*1.77283)/(6+8-2) 2.33336 Pooled standard deviation Sp 1.52753 Test statistic Test statistic t = (x1-x2)-(u1-u2) 11 (5-7)+10)/(1.52753*V(1/6+1/8) Pn1 n2 | -2.42435 -2.424 12

P-value P(t>2.140) 0.0321 Two tailed Result & conclusion Since p-value < 0.05 hence reject the null hypothesis There is suficient evidence to conclude that the drug product have duffrent effect on pain releaf Hence the drug procuct have not same effect on pain releaf