Hypothesis Testing with Normal Distribution in GeoGebra

Here’s how you can use the Probability Calculator in GeoGebra to perform a hypothesis test with the normal distribution:

GeoGebra Instruction 1

1.

Open Probability Calculator

under

View in

Menu.

2.

Make sure that you choose the Distribution tab at the top of the window.

3.

Select Normal from the drop-down list. Enter the values for

μ

and

σ

from your problem.

4.

Choose Left-sided

, Two tailed, or Right-sided

depending on your problem.

If you’re asked to perform a one-sided test where the alternative hypothesis is $μ < μ_{0}$ , choose Left-sided
If you’re asked to perform a one-sided test where the alternative hypothesis is $μ > μ_{0}$ , choose Right-sided
If you’re asked to perform a two-sided test where the alternative hypothesis is $μ \neq μ_{0}$ , choose Two tailed

5.

Enter the value from your test in the inequality or inequalities involving the random variable

X

, and press Enter.

If the test is one-sided, the $p$ -value of the test is equal to the probability on the right-hand side.
If the test is two-sided, multiply the probability on the right-hand side by 2. This is the $p$ -value of the test.

Screenshot of GeoGebra showing a normal distribution, highlighting the left tail