3. Visualizing the sampling distribution! Typically, when doing a study, you only collect one sample and use this to get one value for a statistic. It is useful, however, to imagine more samples being collected, and horn these, more values we might get for the statistic. Let's explore this. a. You're going to try to gure out the average download rate you get over your internet connection. Go to Google and type in \"Google speed test\". The rst search result will let you run a speed test on your computer to measure your download speed. Do this three times and record your download speeds in Megabits per second (Mbps). I got 11.4, 10.4, and 15.9 (I'm supposed to get 100 Mbps according to my contract!). Now average these to get one value for the Y statistic. State the population of interest, the parameter, the sample, and the statistic for this setup (using your data). b. If you did the steps in part a on a different day, you'd get 3 new rates and a new value for Y. Write a single line of R code that simulates nding a new value for X. Just so we all have the same setup, assume your download rates come from the distribution N (p = 20, a = 5). c. Write R code that simulates 10000 averages (based on samples each of size 3) from the distribution in part h. Then make a histogram of these values to see an approximation of the sampling distribution. Finally, state the exact shape, center, and spread of the sampling distribution if we could create innitelymany versions of the statistic. (Include a rough sketch of the histogram.)