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1. An estimator has a sampling distribution that is somewhat skewed, with mean of 17 and median of 15. If the population parameter is really 15, is the estimator unbiased? Explain in a sentence. 2. Consider the following graphs of sampling distributions, where the true population parameter is marked by an arrow. For each of (a) through (d), discuss whether the sampling distributions shows high or low bias and high or low variability. Population parameter (a) Population parameter (b) Population parameter (c) Population parameter (d) Figure 5.5 Moore/Mccabe/Craig. Introduction to the Practice of Statistics, 9e, . 2017 W. H. Freeman and Company 3. A bottling company uses machines to fill its energy drink bottles. These are 250 ml bottles, but the machines have a tiny bit of variability so that there is a standard deviation of 0.4 ml. If I took a random sample of 50 bottles every day for quality control purposes and saved the mean - doing this for several days in a row - what would the (a) form and (b) parameters be of the distribution of the sample mean? 4. Pew Research reported several facts in a study of Facebook. Specifically, they noted that the average adult using of Facebook has 338 friends, though the media is much lower at 200. The standard deviation of number of friends is estimated to be 380