# Creating a Hypothesis Test Graph with Minitab

Follow the instructions for creating your graph for the mathematical notation with the following exceptions.

## Making a Normal Distribution Graph

Instead of a normal distribution, you will be using a Student's t distribution.

• Create a column called t instead of one called z. Change all references throughout the document from z to t.
• IF your test statistic is smaller than -3.5 or larger than 3.5, you will need to adjust the values when you make the patterned data for t. Change it so that the test statistic (and a little bit more) is included.
• Instead of going to Calc / Probability Distributions / Normal, go to Calc / Probability Distributions / T
• You will need the degrees of freedom from the hypothesis test

## Customizing the Graph

You still need to read this section.

## Empirical Rule Graph (Chapters 5 - 6)

This was for Chapters 5 and 6 and you can skip that section for this graph.

## Hypothesis Test Graph (Chapters 7 - 8)

Follow the instructions given with the following changes.

• Change all references to z to t. This includes labels on critical values (instead of z=, you'll write t=)
• The critical values are not z=±1.96. You will need to determine the critical values based on the degrees of freedom and use those values. Label them with t= instead of z=
• Add an additional reference line for the test statistic (wherever it is) and label it.
• Draw an additional ray (a line with an arrow at the end) to the side of the test statistic. If the test statistic is negative, draw the ray to the left of the test statistic and if the test statistic is positive, draw the ray to the right of the test statistic. The area that you label this branch with is the p-value if it is a one tail test of p-value/2 if it is a two tail test. Minitab gives you the the full p-value, but the line gets labeled with either that value (for a one tail test) or 1/2 that value (for a two tail test).