STAT 200 Fall 2016 Quiz #1 Please answer all 10 questions. The maximum score for each question is posted at the beginning of the question, and the maximum score for the quiz is 100 points. Make sure your answers are as complete as possible and show your work/argument. In particular, when there are calculations involved, you should show how you come up with your answers with critical work and/or necessary tables. Answers that come straight from program software packages will not be accepted. The quiz is due by midnight, coming Sunday, 11:59 pm. (For Questions 1, 2, 3, 4 & 5) For 12 pages randomly selected from War and Peace by Leo Tolstoy, the data set lists the mean number of words per sentence, the mean number of characters per word. Words/sentence 20.6 28.0 12.0 11.5 17.4 19.7 20.3 17.8 22.1 31.4 18.3 11.7 Characters/word 4.3 4.5 4.5 4.5 4.5 4.8 4.3 4.2 4.7 4.3 4.4 4.5 1. ( 15 points) Prepare a frequency distribution of words/sentence with a class width of 3 words and another with class width of 4 words. 2. (12 points) Construct a histogram of words/sentence with a class width of 3words and another with a class width of 4 words. 3. (8 points) Give a 5-number summary of the words/sentence (minimum, 1-st quartile, 2-nd quartile (median), 3-rd quartile, and maximum), and construct the corresponding boxplot. 4. (8 points) Construct a dotplot of characters/word. 5. (10 points) Find sample mean, median and mode for characters/word. (For Questions 6, 7, 8, 9 & 10) The National Highway Traffic Safety Administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). According to the safety requirement, the hic measurement should be less than 1000. 776, 649, 1210, 546, 431, 612 6. (17 points) What is the variance in hic? 7. (8 points) What is the standard deviation in hic? 8. (8 points) Find z-score for hic 1210. 9. (7 points) Find z-score for hic 612. 10. (7 points) Are hic 1210 and 612 unusual values? Justify your