1. [8 pts] A simple random sample of pages from Merriam-Webster's Collegiate Dictionary was obtained. Listed below are the numbers of dened words on those pages, and they are arranged in order. Construct a boxplot and include the values of the 5-number summary. Describe the four characteristics of the data (shape, center, spread, and unusual features} 34 36 39 43 5 1 53 62 63 73 79 a. out the table below for the descriptive statistics b. Construct a boxplot c. Describe the four characteristics of the data (shape, center, spread, and unusual features} 2. [8 pts] A Gallup poll asked 1050 randomly chosen adults if they are familiar with the 2015 VW emissions scandal. Of this sample, 75% said that they were familiar with the scandal. a. Construct a 95% confidence interval for the proportion of all US adults that are familiar with the VW emissions scandal. b. A newspaper article makes the claim that 80% of US adults are familiar with this scandal. Is this plausible? Why or why not?3. [8 pts] The table below shows the distribution of books on a bookcase based on whether they are nonfiction or fiction and hardcover or paperback. Format Hardcover Paperback Total Fiction 13 59 72 Type Nonfiction 15 8 23 Total 28 67 95 a. What is the probability of selecting a book that is nonfiction? b. What is the probability of selecting a book that is fiction or has a hardcover? c. What is the probability of selecting a book that is fiction and a paperback? d. Given you pick up a hardcover book, what is the probability that it is nonfiction