A paired t-test compares means from within a group to help determine weather we can accept or reject the null. It is often used when comparing a sample groups scores before and after. 

A t-test a type of hypothesis test. First you would decide what the population of the test is. The next step in this test would be to state the null and alternate hypothesis. The equations listed below will be your equations to determine a your null and alternate hypothesis. However you need to be sure to write out the null and alternate hypothesis in full sentences as well.  

null hypothesis:  .  The null is stated as the average of the means or μ. 

alternate hypothesis:      The alternate hypothesis is the average of the means of what we are trying to prove. 

The next step would be to check the conditions the conditions to be checked are as follows. As before make sure to write the conditions in full sentences. 

1. Is the sample random, if you cant determine this then ask yourself if its representative of the population.

2. The 10% condition

3. Nearly normal condition

The next step you would take would be to calculate your test statistic, if by hand the equation is listed below. 

After this you would draw out your t-model based off of your information. 

Depending on results from your test you would either choose to reject the null value if there is sufficient evidence that your null value is untrue. If you are not able to reject the null value you would say you have insufficient evidence to reject the null. After this you would state your conclusion in a contextually meaningful way.  

Overall, you just need to follow the rubric.

• Where is your fully worked out example? That is a critical part of the page!

The formatting of the section below is not correct. Please go back and read the directions and look at the sample page I've provided (Clustered bar graph).

 To conduct a Paired Sample T-Test in SPSS follow these simple steps:

•  Go to "Analyze", "Compare Means", and select "Paired Samples T-Test". 
•  Drag the variables you would like to compare into the "Paired Variables" window, Ideally you want to put your variable with larger numbers  under "Variable 1" and the smaller number as "Variable 2".
• You can select "Options" in the top right corner if you want to change your "Confidence Interval Percentage". 
• Click "Okay" and SPSS will give an you an Output of three tables, you will find the information you need in the third table.