The probability density of a one-parameter Weibull distribution is given by r2αxe-αx2 , x > 0 f(x) = 0, otherwise.
(a) Using a random sample of size n, obtain a moment estimator for α.
(b) Assuming that the following data are from a one-parameter Weibull population,
1.87 1.60 2.36 1.12 0.15
1.83 0.64 1.53 0.73 2.26