Show all your work. No work, No credit !!! A population is known to be normally distributed with standard deviation O =3 . However, there is a dispute as to whether the mean U is 50 or 60 . Suppose you have to decide by picking one observation whether H, : u=50 is true. The following decision rule is adopted : Reject the Null hypothesis if the observed value is greater than 55. a) Find the probability of making the Type | Error. b) Find the probability of making the Type II Error