Questions: 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. Click the icon to view the classic works list. Which of the following would produce a simple random sample? Select all that apply. A. List each book on a separate piece of paper, place them all in a hat, and pick three. B. Ask someone their opinion on which three books are best, and select those three. C. List the names in alphabetical order and take the first three on the list. D. 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.

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. Click the icon to view the classic works list. Which of the following would produce a simple random sample? Select all that apply. A. List each book on a separate piece of paper, place them all in a hat, and pick three. B. Ask someone their opinion on which three books are best, and select those three. C. List the names in alphabetical order and take the first three on the list. D. 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.
Transcript text: 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. Click the icon to view the classic works list. Which of the following would produce a simple random sample? Select all that apply. A. List each book on a separate piece of paper, place them all in a hat, and pick three. B. Ask someone their opinion on which three books are best, and select those three. C. List the names in alphabetical order and take the first three on the list. D. 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.
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Solution

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To generate a simple random sample of three books from a list, each book must have an equal chance of being selected. A simple random sample ensures that every possible combination of three books has the same probability of being chosen. Here are the processes that can be used to achieve this:

  1. List and Draw Method: Write the name of each book on a separate piece of paper, place all the pieces in a hat, and draw three pieces without looking. This method ensures that each book has an equal chance of being selected.

  2. Random Number Table or Generator: Assign a unique number to each book. Use a random number table or a random number generator to select three different numbers. The books corresponding to these numbers form the sample.

  3. Software or Online Tools: Use statistical software or online tools designed to generate random samples. Input the list of books, and the tool will randomly select three.

Now, let's evaluate the options provided:

A. List each book on a separate piece of paper, place them all in a hat, and pick three.

  • This method would produce a simple random sample because each book has an equal chance of being selected.
  • The answer is A.

B. Ask someone their opinion on which three books are best, and select those three.

  • This method does not produce a simple random sample because it relies on subjective opinion rather than random selection.
  • This option is incorrect.

C. List the names in alphabetical order and take the first three on the list.

  • This method does not produce a simple random sample because it systematically selects the first three books, giving them a 100% chance of being chosen, while the others have no chance.
  • This option is incorrect.

D. 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.

  • This method would produce a simple random sample because it uses a random number table to ensure each book has an equal chance of being selected.
  • The answer is D.

Therefore, the methods that would produce a simple random sample are A and D.

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