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ARE YOU READY FOR AP STATISTICS? SUMMER ASSIGNMENT 2014 Welcome to AP Statistics! I am looking forward to having you in class in the fall. In order to hit the ground running in September, you have some preliminary work (Chapter 0 in the textbook- SEE MRS. HALL in Room 110 to pick up before the end of the school year), an autobiographical essay (Special Problem 0) to complete on your own, and a brief algebra review. The three assignments will be collected the first day of class and graded (test grade for the work and quiz grade for the autobiography) for both completion and accuracy. Please take these assignments seriously, as we will use the material presented in the first chapter throughout the entire course, and the special problem is the first of many such writing assignments throughout the year. Though you may email me with questions at [email protected], what you turn in is to be YOUR OWN WORK, and any indication of identical commentary or presentation will be treated as a cheating incident. TEN POINTS WILL BE DEDUCTED FROM EACH ASSIGNMENT EVERY DAY IT IS LATE. Last day work will be accepted late is September 3, 2014. Some general helpful hints: 1. Please read the textbook carefully. This course is based on vocabulary and understanding of concepts (not just calculations) presented in the text, so it should be read and reread to ensure maximum comprehension. If you only skim or skip reading altogether, you will probably miss some detail needed to correctly answer a question. 2. Graphs (any visual display of data) SHOULD BE DONE ON GRAPH PAPER IF THE SCALE IS SIGNIFICANT. Graph paper has been attached for you convenience at the end of the packet. Points will be deducted for scaled graphs not done on graph paper. 3. This is as much a writing course as it is a math course. Explaining in complete thoughts (sentences) is required on this assignment and throughout the course. Often, questions will require you to comment on what your graph tells you (so again, write clearly and in complete sentences when applicable). A pneumonic device that might help you remember the 4 major areas that need to be addressed when asked to describe your data is “SOCS” (see the attached page for specifics). In fact, forgetting any one can be a critical omission! Also, DON”T JUST SPOUT #’s, USE #’s IN CONTEXT (what they mean to that particular problem using appropriate units like feet or $, for example). 4. You may want to make a copy of your summer assignment (for yourself). We will be going over the assignment during the first week of class, but you will not have access to your own work the first few days of class. 5. WE WILL HAVE AT LEAST ONE QUIZ (perhaps surprise!) AND A TEST ON THE MATERIAL COVERED IN CHAPTER ONE WITHIN ONE WEEK OF THE START OF SCHOOL. ASSIGNED PROBLEMS (to be handed in first day of class, NO EXCEPTIONS!!!) Algebra Review Problems (attached) Special Problem 0 (attached) --- pay careful attention to the directions and grading rubric! SOME OTHER THINGS TO THINK ABOUT… We use the Barron’s Test Prep book for review throughout the year. At the current time, the most recent edition is the 7th edition by Martin Sternstein. It is recommended that you purchase the study guide for use in class and at home. You will need to have a TI- 84Plus or TI-89 calculator the first week of class as they will be used extensively throughout the year in class and for homework though they should not be necessary for the summer assignment. (Please contact me if this is a problem) Remember, don’t start the assignment too late, or you will feel the effects in grade form and in understanding the necessary concepts for the very first week of AP Statistics!!! Enjoy your summer…Mrs. Hall ALGEBRA PAGE! 2 The prerequisite for AP Statistics is Algebra II. You will not find very much equation solving in this course, but some quick review of Algebra I and Algebra II content will be helpful. Here is a formula that is often used in AP Statistics: z = x-x . s 1. If z = 2.5, x = 102 and x = 100, what is s? Show your work. 2. If z =-3.35, s = 6 and x = 100, what is x? Show your work. It is expected that you have a thorough understanding of linear functions. 1. The USDA reported that in 1990 each person in the United States consumed an average of 133 pounds of natural sweeteners. They also claim this amount has decreased by about 0.6 pounds each year. a. Write a linear equation that related years since 1990 to the average consumption of natural sweeteners. Define your variables. b. What is the slope and what is the y-intercept? c. Predict the average consumption of sweeteners per person for the year 2005. 2. The following equation can be used to predict the average height of boys anywhere between birth and 15 years old: y = 2.79x + 25.64, where x is the age (in years) and y is the height (in inches). 3 a. What does the slope represent in this problem? Interpret in context. b. What does the y-intercept represent in this problem? Interpret in context. You are expected to have a basic understanding of simple probability. 1. A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 times; and each sophomore’s name, 1 time. What is the probability that a senior’s name will be chosen? 1 A. 8 B. 2 9 C. 2 7 D. 3 8 E. 1 2 2. Which of the following has a probability closest to 0.5? A. B. C. D. E. The sun will rise tomorrow. It will rain tomorrow. You will see a dog with only three legs when you leave the room. A fair die will come up with a score of 6 four times in a row. There will be a plane crash somewhere in the world within the next five minutes. 4 3. If a coin is tossed twice, what is the probability that on the first toss the coin lands heads and on the second toss the coin lands tails? 1 6 1 B. 3 1 C. 4 1 D. 2 E.1 A. 4. If a coin is tossed twice what is the probability that it will land either heads both times or tails both times? 1 8 1 B. 6 1 C. 4 1 D. 2 E.1 A. 5. Calculate the following probabilities and arrange them in order from least to greatest. I. The probability that a fair die will produce an even number.___________ II. A random digit from 1 to 9 (inclusive) is chosen, with all digits being equally likely. The probability that when it’s squared it will end with a digit 1.______________ III. The probability that a letter chosen from the alphabet will be a vowel._____________ IV. A random number between 1 and 20 (inclusive) is chosen. The probability that its square root will not be an integer.______________ ORDER: _______, ________, _________, _________ Special Problem 0 5 Your first Special Problem is to write a one-page document on the computer, using a word processing package of your choice. (NOTE: A partial page will not suffice.) Content. The first paragraph should be a brief autobiographical statement about yourself that will help me get to know you. What are your likes and dislikes? Who are your role models? What makes you unique? In the second paragraph, tell me something you remember from a previous math course. It can be a particularly good experience or a particularly bad experience. Or describe a math teacher you’ve had who stood out in some way. In the third paragraph, tell me about your plans for college. If you are thinking about a particular major, tell me about that and why you are interested in that field. Alternatively, tell me about possible career interests in general terms. In the fourth and last paragraph, tell me something about this statistics course. Possible areas to address: Why are you taking AP Statistics? Is statistics an important tool in the field of study you are considering? Have you had any previous connection with statistics? Can you give an example from the “real world” where statistics is or has been important to you personally? Requirements. In order to demonstrate knowledge and facility with certain features of your word processor, after you finish writing your paper, I want you to: 1. Change the font to Times New Roman (if this is not available on your computer, use a simple newspapertype font like the one you are reading). Make your font size 12 points. 2. Make the first line “Brief Autobiographical Sketch,” and make the second line (the title) your name. Center both lines, and change your name to font size 18. 3. Insert the following paragraph headings , in order: Biographical, Retrospective, College, and AP Statistics, like the paragraph headings I have used on this sheet, and then put these words in bold. 4. Leave one line of space between the title and the first paragraph, and leave one line between paragraphs. 5. Put something (or some things) in italics, and underline something else. 6. Number your page at the bottom, centered. OPTIONAL: Type your name as a footer in the bottom right-hand corner so that it will identify each page of your report. 7. Before you print the final copy, make sure you proofread your paper on the screen, and then check it for spelling and syntax. Grading. I will evaluate you on: following instructions, computer facility, spelling, grammar and syntax, general interest, and whether your report was submitted on time (see next page for grading rubric). Deadline. Special Problem 0 is due Tuesday, 9/4/12. 6 Special Problem 0 Assessment Sheet Name: _________________ (Attach this sheet as the last page of your submitted report) Code: 4 3 2 1 Excellent Good Satisfactory Unsatisfactory General Followed instructions for the investigation: 1 2 3 4 Format of title is as specified 1 2 3 4 Single-space within paragraphs; double-space between paragraphs. 1 2 3 4 Length is correct (one complete page). 1 2 3 4 Report is grammatically correct and free of all spelling errors. 1 2 3 4 Report avoids slang and clichés. 1 2 3 4 Report is clear and unambiguous. 1 2 3 4 Report was submitted on time (!). 1 2 3 4 Other: All content questions answered 1 2 3 4 Specific: ITALICS/UNDERLINE/NUMBER/NAME TOTAL: ___ 7