Probability and Statistics > TI 83 > Critical z value TI 83
Critical z value TI 83
A critical value in a hypothesis test separates the 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.
The TI 83 calculator is probably the most widely used calculator in statistics, because of its array of built-in statistical functions.
Find more help for the TI 83 and statistics by visiting the main TI 83 for statistics menu.
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.
Sample Problem #1: Find the critical z value for α=0.05.
Watch the video or read the steps below:
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 symmetrical).
- -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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