TI 83 > Critical z value TI 83

## Critical z value TI 83

A critical value in a hypothesis test separates the rejection region (where the hypothesis will be rejected) from the region where the hypothesis will not be rejected. You could use the equation above to find the z-score; with a little **arithmetic**, you can look up a critical value in a z-table, or you can use the **InvNorm** function on the **TI-83 graphing calculator**.

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## Critical z value TI 83: Steps

InvNorm can be used in a couple of different ways. The first problem shows you how to find a critical value (a z-score) for a given alpha level for example, α = 0.05. The second problem shows you how to use InvNorm find a specific score for data with a normal distribution.

**Example Problem #1**: Find the critical z value for α = 0.05.

**Step 1:** Press 2nd VARS 3. This displays **InvNorm(** on the home screen.

**Step 2:** Type one of the following:

0.05 (for a one tailed test)

0.05/2 (for a two tailed test).

Not sure? See: One Tailed Test or Two.

**Step 3:** Press the ) button.

**Step 4: **Press Enter.

- -1.64 is the z-score for the left tail.
- 1.64 is the z-score for the right tail (because the normal distribution is a symmetrical distribution).
- -1.96 is the area in the left tail for a two tailed test
- 1.96 is the area in the right tail for a two tailed test (because the normal distribution is symmetrical).

**Sample Problem #2**: An end of semester exam is normally distributed with a mean of 85 and a standard deviation of 10. Find the score at the 90th percentile with the InvNorm function.

**Step 1:** Press 2nd VARS 3. This displays **InvNorm(** on the home screen.

**Step 2:** Type .90,85,10.

**Step 3:** Press the ) button.

Your display should read **InvNorm(.9, 85, 1, 0)**.

**Step 4:** Press ENTER. This returns **97.82**. That means that 90% of students will have scores below 97.82.

That’s it! Like the explanation?

That’s how to find a Critical z value TI 83!

**Tip**: The first entry on InvNorm should be a number between 0 and 1.

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