Suppose that the survival time of two groups of lung cancer patients follows the Weibull distribution. A sample of 30 patients (15 from each group) was studied. Maximun likelihood estimates obtained...

Suppose that the survival time of two groups of lung cancer patients follows the Weibull distribution. A sample of 30 patients (15 from each group) was studied. Maximun likelihood estimates obtained from the two groups are, respectively, Y₁
+= 3,

₁
1.2 and

₂
= 0.5. Test the hypothesis that the two groups are from the same Weibull distribution.