A quiz consists of four questions. Two are true/false and...

[karla]

I need some help with this, please:

A quiz consists of four questions. Two are true/false and 2 are multiple choice (4 multiple choices). One point is awarded for each correct answer. Assume that the student guesses on all four questions. Use the four step method to estimate the expected value of the score of the student. Conduct 20 trials.

Thank you.

 

[stapel]

A quiz consists of four questions. Two are true/false and 2 are multiple choice (4 multiple choices). One point is awarded for each correct answer. Assume that the student guesses on all four questions. Use the four step method to estimate the expected value of the score of the student. Conduct 20 trials.

What is "the four-step method" that you've been given to use? What are you supposed to use for "conducting" your "twenty trials"? What results did you get from your trials?

Please be complete. Thank you!

 

[karla]

To conduct the trials you need to use a random digit table, but before you do that, you need to create a model which is the first part of the four step method.
1. Choose a model and state assumptions (in this case the assumption would be that the student guesses on all questions)
2. Define a single trial ( a single trial would be to see which answers were correct out of 4 using the random digit table)
3. Repeat a large number of trials and construct a frequency table
4. Find the expected value (average number of points earned)
The part that i cant figure out is how to create the model using 0-9. Initially i selected 1-3 to stand for a point earned and 4-8 were for incorrect answers and i would just ignored 9 and 0. The problem with the model is that you dont know if the anwers that is correct was for a t/f question or a multiple choice.
I hope that makes sense ?

 

[stapel]

To conduct the trials you need to use a random digit table, but before you do that, you need to create a model which is the first part of the four step method.
1. Choose a model and state assumptions

What is meant (within the context of your book or class) by "choosing a model"? What "model" did you "choose"?

2. Define a single trial ( a single trial would be to see which answers were correct out of 4 using the random digit table)

What do you mean by "seeing which answers were correct"? How does this relate to the student's guessing?

3. Repeat a large number of trials and construct a frequency table

How are you doing the repetition? Are you asking lots of people? Using software of some sort? Something else?

The part that i cant figure out is how to create the model using 0-9.

What do you mean by "using 0-9"? Where is this specified in the exercise (or model)?

Initially i selected 1-3 to stand for a point earned and 4-8 were for incorrect answers....

What does this mean? I'm sorry, but I don't understand what you're doing...?

 

[Ishuda]

To conduct the trials you need to use a random digit table, but before you do that, you need to create a model which is the first part of the four step method.
1. Choose a model and state assumptions (in this case the assumption would be that the student guesses on all questions)
2. Define a single trial ( a single trial would be to see which answers were correct out of 4 using the random digit table)
3. Repeat a large number of trials and construct a frequency table
4. Find the expected value (average number of points earned)
The part that i cant figure out is how to create the model using 0-9. Initially i selected 1-3 to stand for a point earned and 4-8 were for incorrect answers and i would just ignored 9 and 0. The problem with the model is that you dont know if the anwers that is correct was for a t/f question or a multiple choice.
I hope that makes sense ?

As a hint, let's walk through a single question test:
-Suppose you were to randomly choose (guess at) an answer to a multiple choice question with two choices [for example a True or False question] and the answer were True. Thus you need a test with the answer and to do the test multiple times, you will need multiple tests which randomly have either a True or False answer.
-What percentage of the time do you think you would get the correct answer? For 2 choices, you should expect to be right about 1 out of 2 time or 1/2 or 50%.
-If the choice is correct you get a point, if not you get zero points. Suppose you do 100 trials [take 100 tests]. 50% of 100 is 50 so you can expect to get about 50 points or an average of 0.5 for each test.
-How can you use a random digit table to make your random choice? You have two choices so use two digits and construct a random digit table with just two digits (choices). Equivalently, assign 5 numbers to True and 5 Numbers to False and use a 10 digit (0-9) table.

Is that enough of a hint to get you started?