Question

In: Statistics and Probability

1. Jessie is running a t-test. Her hypothesis in the study is that memory of list...

1. Jessie is running a t-test. Her hypothesis in the study is that memory of list of words is better when words are related. Should she run a one tailed or two tailed test? Why?   

2. In her t-test, what would be the significance level (by convention) set for each tail?

3. What is the distribution of in t-test?

4. What is the distribution of in F-test?

Solutions

Expert Solution

  1. Jessie is running a t-test. Her hypothesis in the study is that memory of list of words is better when words are related. Should she run a one tailed or two tailed test? Why?   

This is a two trailed test. In this test she wants to understand whether the list of related words are better to memories or not. So the intent here is to compare something is better than the other not not. If we translate that in the statement of the statistical hypothesis, then it will be as follows:

2. Since this is an one tailed test, the by convenstion is the significance level should be considered.

3. t-distribution is a distribution related to mean and correlation coefficient. The generalised distribution of t-distribution is the non-central t distribution. apart from that there are mainly two type of t-distribution one is the t distributin and another is the students t-distribution.

The pdf of the t-distribution is as follows :

4. F-distribution is mainly realted to the test of variance. The pdf of the F-distribution is as follows:

t-distribution and F-distribution both are sampling distribution.


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