Week 6 You will be submitting a Word file and an Excel file this week. Part 1 (worth 60 points) 1a. Unlike the spinner on p. 90 of the OLI module, imagine a spinner that also has 3 colors - - Red, White, Green - - but all the colors are the same size. Someone spins the pointer 2 times. List all the possible outcomes of this random experiment. [Use the letters R, W, G.] 1b. What is another name for the list you just made? 2. What is the probability that the color red will come up exactly once in the two spins? 3. What is the probability that red will come up on both spins? 4. There are 10 males and 12 females in a statistics class. If one student is chosen at random, what is the probability that the student is a female? 5. What is the probability of rolling a pair of dice and getting one (only one) 6? Explain how you arrived at your answer. [Hint: The table on p. 184 in your text could be helpful.] 6. Last week we had the following homework question: In New York State there is a fairly strong positive correlation between principals' salaries and the reading scores of their students. (This is true.) Upon learning this, a politician recommends that principals' salaries be increased because this will cause students' reading scores to increase. Good idea? The answer of course was that it was not a good idea at all since association does not imply causation. Suggest a lurking variable that could reasonably account for the association between students' reading scores and principals' salaries. [Hint: The lurking variable must be plausibly related to both principals' salaries and reading scores.] Part 2 (worth 40 points) The point of the Learn by Doing activity on the bottom of OLI p. 67 is to teach you about sampling and to demonstrate how you can select a random sample using Excel. The activity contains three text boxes with open-ended questions. Submit one Excel file that includes the work necessary to answer the three open-ended questions. Put your answers to the three open-ended questions on the first worksheet which you name Answers. Choose appropriate names for the additional worksheets showing the work you did to arrive at the answers including your random samples