Suppose the following data are a random sample from a distribution with probability density function given by ng0. 20.9 21.7 22 22.8 23 23 23.1 23.1 23.5 23.8 23.8 23.9 24 25 Some summary statistics: 211:1 237; = 323.60 and 2'141 ln(a:i) = 43.9527. 1,: \fb) Obtain a maximum likelihood estimate (MLE) for B.(0) Obtain the Fisher Information and hence approximate the variance of the MLE. (d) Use the asymptotic normality property of MLEs to construct the 95% approx- imate confidence interval for B. (2)