2: Point Estimation of (a) Do your observed estimates for the proportion of values of X between 22.0 and 23.0 match the expectations for the sampling distributions of X having N = 10, N = 25 and N = 50 frogs? How does this proportion change with the sample size N? (b) Do your observed estimates for the proportion of values of X between 22.25 and 22.75 match the expectations for the sampling distributions of X having N = 10, N = 25 and N = 50 frogs? How does this proportion change with the sample size N? (c) Comment on the performance of X as a point estimator for = 22.5 grams. In your opinion, for which sample size (N) is the precision of the point estimator X acceptable? Bonus (5 points) Use = 22.5 grams and = 1.5 grams to estimate the minimum sample size N you would need to achieve a level of precision satisfying P(22.25 < X < 22.75) 0.98. Question 3: Point Estimation of p (a) Do your observed estimates for the proportion of values of p between 0.56 and 0.64 (inclusive) match the expectations for the sampling distributions