5. A sample size of n=100 has been drawn from a population whose variance is 2250 in order to test the following hypothesis: H0:=1000vs.Ha:=1000 It is decide to reject the null hypothesis if the observed sample mean is greater than 1008 or less than 992. (a) Find the probability of Type I error. (5\%) (b) Find the probability of a Type II error if =1005. (5\%) (c) Find the decision power if =1003.(5%)