As part of a college literature course, students must select three classic works of literature from the provided list and complete critical book reviews for each selected work. Write a short description of the processes that can be used to generate a simple random sample of three books. Obtain a simple random sample of size 3 from this list. E. Click the icon to view the classic works list. Which of the following would produce a simple random sample? Select all that apply. \( \square \) A. List the names in alphabetical order and take the first three on the list. \( \square \) B. Number the books from 1 to 9 and use a random number table to produce 3 different one digit numbers corresponding to the books selected. \( \square \) C. List each book on a separate piece of paper, place them all in a hat, and pick three. \( \square \) D. Ask someone their opinion on which three books are best, and select those three.

Generating a **simple random sample** ensures that every possible combination of books has an equal chance of being selected. Here are processes to achieve this: 1. **Random Number Generation:** - **Assign Numbers:** Start by numbering each book on the provided list from 1 to *N* (where *N* is the total number of books). - **Select Random Numbers:** Use a random number generator or a random number table to select three unique numbers within this range. - **Select Corresponding Books:** Choose the books that correspond to the randomly generated numbers. 2. **Random Drawing:** - **Prepare Slips:** Write each book’s name on an identical piece of paper. - **Mix Thoroughly:** Place all slips into a container (like a hat) and ensure they are well mixed. - **Draw Randomly:** Blindly draw three slips without looking, ensuring each draw is independent. **Example of Obtaining a Simple Random Sample:** Assume the classic works list consists of the following 9 books: 1. *Pride and Prejudice* by Jane Austen 2. *1984* by George Orwell 3. *To Kill a Mockingbird* by Harper Lee 4. *The Great Gatsby* by F. Scott Fitzgerald 5. *Moby Dick* by Herman Melville 6. *War and Peace* by Leo Tolstoy 7. *Hamlet* by William Shakespeare 8. *The Odyssey* by Homer 9. *Crime and Punishment* by Fyodor Dostoevsky **Using Random Number Generation:** - **Step 1:** Number each book from 1 to 9 as shown above. - **Step 2:** Use a random number table or generator to pick three unique numbers. Suppose the numbers generated are 2, 5, and 8. - **Step 3:** The selected books are: - *1984* by George Orwell - *Moby Dick* by Herman Melville - *The Odyssey* by Homer **Multiple Choice Question:** *Which of the following would produce a simple random sample? Select all that apply.* - \( \square \) **A.** List the names in alphabetical order and take the first three on the list. *_Explanation:_* This method is **not** random as it depends on the ordering of the list. - \( \boxed{\text{☑️ }} \) **B.** Number the books from 1 to 9 and use a random number table to produce 3 different one-digit numbers corresponding to the books selected. *_Explanation:_* This method **is** a simple random sample as it uses random numbers to select books. - \( \boxed{\text{☑️ }} \) **C.** List each book on a separate piece of paper, place them all in a hat, and pick three. *_Explanation:_* This method **is** a simple random sample as it involves random drawing without bias. - \( \square \) **D.** Ask someone their opinion on which three books are best, and select those three. *_Explanation:_* This method is **not** random as it relies on personal opinions, introducing selection bias. **Selected Answers:** **B** and **C** produce simple random samples.