Problem 5: Given the following observations of a normal random variable. 5.3286 1.8909 3.5287 5.4835 4.1563 6.4002 4.6993 1.8539 3.2107 3.2011 0.1982 4.2036 3.7684 6.4485 1.5976 2.2840 a) What would you

guess the mean and variance (μ and o²) of the normal distribution were? Solve this question using two methods: method of moments and maximum likelihood method. b) Give 90%, 95%, and 99% confidence intervals for μ and o². c) Give 90%, 95%, and 99% confidence intervals for o.