7) AnotherHypothesis Test problem comparing two population MEANS for the two-medication "time to take effect" example.

t-Test = [(x-bar1 - x-bar2) -(1 - 2)] / sqrt ( s₁²1 + s₂²2)

To find the t-Critical we need the degrees of freedom (df): df = (n1 - 1) + (n2 - 1)

Also, find the p-value

Bottom line: Is there a significant difference between the mean "time to take effect" for these two medications and if so, which medication is significantly faster.

TIME IT TAKES FOR TWO DIFFERENT MEDICATION TO TAKE EFFECT A B 44 79 100 Time to Effect 45 79 90 50 83 80 52 79 70 42 73 60 51 75 Minutes 47 73 150 42 79 40 40 80 30 44 85 20 47 87 10 48 81 47 72 2 4 6 10 12 14 16 53 75 Person # 55 74 47.1 78.3 MEAN 19.4 20.8 VARIANCE 4.4 4.6 STD DEVIATION