Suppose two drugs are tested for effectiveness. 10 patients consume drug 1 and m

Question

Suppose two drugs are tested for effectiveness. 10 patients consume drug 1 and measurements are taken. A month later, another set of 10 patients consume drug 2, and measurements are recorded. You need to conclude if there is a difference in average response between the two drugs based on the measurements in the table below. Now, state the test statistic value correct to two decimal places.

Observation Drug 1 Drug 2 1 0.7 1.9 2 -1.6 0.8 3 -0.2 1.1 4 -1.2 0.1 5 -0.1 -0.1 6 3.4 4.4 7 3.7 5.5 8 0.8 1.6 9 0 4.6 10 2 3.4

Explanation / Answer

0.7,-1.6,-0.2,-1.2,-0.1,3.4,3.7,0.8,0,2

n1 = 10 , X1bar = 0.75., s1 = 1.789

2 - 1.9,0.8,1.1,0.1,-0.1,4.4,5.5,1.6,4.6,3.4

n2 10 , X2bar = 2.33 ,s2 = 2.0022

sp = sqrt(s1^2 + s2^2 )/2) = sqrt((1.789^2 +2.0022^2)/2) = 1.8985949

TS = (X1bar - X2bar)/(sp *sqrt(1/n1 + 1/n2))

= (0.75 -2.33)/(1.8985949 * sqrt(2/10))

= -1.86084

= -1.86

degree of freedom = n1 + n2 - 2 = 18

t-critical value = 2.101 for alpha = 0.05

since ||TS| < t-critical , 1.86 < 2.101

we fail to reject the null hypothes

hence there is not sufficient evidence that there is difference between two.

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