SOLUTION: A medical researcher wishes to evaluate the effectiveness of a drug in prolonging the life of a red cell in a culture medium. Seven cultures are treated with saline (an inactive co

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Question 1119177: A medical researcher wishes to evaluate the effectiveness of a drug in prolonging the life of a red cell in a culture medium. Seven cultures are treated with saline (an inactive control substance) and seven others are treated with the new drug. The following survival times in days are recorded;
Control Group      Treated Group
129                       121
102                       119
138                       119
126                       126
121                       121
100                       115
113                       117
 
Conduct the necessary test to determine if the treatment with the new drug does in fact prolong the life of a red cell. Use a  = 0.05.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is a 2 sample t-test. Assume normality and variances may be considered homogeneous
Ho: mu1>=mu2 or mu1-mu2>=0
Ha: mu1< mu2 or mu1-mu2<0
alpha=0.05
test stat is a t 0.975, df=12
critical value |t|<-1.782
t= (mu1-mu2)/sqrt((s1^2)/(n1-1))+(s2^2)/(n2-1))
t=(118.43-119.71)/sqrt((14.13/6)+(3.5/6))
=-1.28/sqrt(2.355+0.583)
=-1.28/5.94
=-0.2155
Fail to reject Ho at the 0.05 level. Insufficient evidence to say whether there has been a change.