ill i th probability of l unor of llt kind here? What is the probability of comm

Question

ill i th probability of l unor of llt kind here? What is the probability of committing an error of B r cir hrst Wha second kind here? What conclusion can be drawn from the result? 3. A professor wants to test if doing a separate group review of the material that is going to be in a test helps the students get better grades. The professor would like to perform an experiment on this. How should the experiment be carried out, so that the results are to be analysed with a 2-sample t-test? How should the experiment be carried out, so that the results are to be analysed with a paired t-test? In general, which one of these is better? Why Calculation

Explanation / Answer

For a two-sample t-test, the samples should be independent.

Hence, in order to conduct a two-sample t-test he should

select a sample of size n1 and do a separate group review for

these n1 students and measure their grades. Again, he should

select a sample of n2, independent of the first sample and

should not do group review for these n2 students and

measure their grades. Now two-sample t-test will be the test

of difference in grades between these two samples.

In order to conduct a paired t-test, he should repeat the

experinent for same set of students i.e. first he should take a

group review for n students and measure their grades. In next

time for the same set of students he should not take a group

review and measure their grades. Paired t-test will be to test

the differences in grades for the same set of students.

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