Consider 100 random samples, each of size 8. Suppose that x Poisson(1), = 6 a) For each sample, calculate the 95% and 99% confidence intervals for using the assumption that ~N(, Var(2)). For these intervals, report the presentare of intervals that contain the parameter = 6. Compare the percentage and the confidence level. Comment on all your observations. What happened to the length of the intervals when you increpasen the confidence level? b) Repeat the previous paragraph, considering the assumption that ~ N (^, Var (1)) c) Repeat parts a and b but considering 1000 random samples of size 75