Bonus Question (10 points) Initials The bonus question will be graded in a relat

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Bonus Question (10 points) Initials The bonus question will be graded in a relatively strict way. To receive the bonus be coherent with each other. You may skip this question if you do not have enough time. Suppose you are hired by an education institution to improve the teinforcement model. You decide to use some technique you have learned study for this topic in the lab. from ECON406 to design a s points) What factor do you think can affect the speed of learning for an o get the bonus point, you need to write down a testable hypothesis a) (2 bonu b) (6 bonus points) How to design the experiment? Explain your procedure and relevant parameters c) (2 bonus points) What type of result can support your hypothesis?

Explanation / Answer

(a)

The speed of learning of an individual is enhanced many times when there is a discussion amongst the students. If you have a class to whom a subject is taught interactively, by allowing them to ask questions to the techer and amongst themselves, then this is much better.

So at the end of a class, you can conduct a short 5-10 minutes discussion section in which students ask questions to each other and to the teacher.

The hypotheses to be tested is that conducting a discussion section at then end of class enhances their speed of learning.

(b)

In order to test this hypothesis, you take two classes of roughly same strength. The students in both the classes are equally intelligent, meaning that they all are good students and none of them is too dull. This will remove any bias.

Next, a teacher teaches a subject to both the classes. In one class, he conducts a discussion section, while in the other class, he does not conduct a discussion section.

After two weeks, he takes a surprise test regarding the topics he has taught, and calculates the scores of all the class students.

Let's denote the class in which discussion was held as class1 and the other as class2.

So the teacher collects the data like sample means m1 and m2, sample standard deviations s1 and s2, sample sizes n1 and n2.

Then he conducts a paired t-test on the given data, and calculates the p-value.

(c)

Choosing a significance level of 0.05, if the p-value is less than 0.05, then the nul hypothesis will be rejected.

So in order to support our hypothesis, we need to get a p-value less than 0.05

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