# TI-83 Instructions

## Testing Hypotheses Concerning the Difference between Means using Large Samples

### Method 1 - Data

1. Enter the data from the first sample into a list, say `L1`.
2. Enter the data from the second sample into another list, say `L2`.
3. Press `STAT`. The `STAT` menus appear and the `EDIT` menu title is highlighted.
4. Select the `TESTS` menu title. The `TESTS` menu appears.
5. Select `2-SampZTest`, item #3. A list of options appears.
6. On the first line are two options: `Data` and `Stats`. Use the arrow keys to select `Data`.
7. Press `ENTER`.
8. Press the down arrow once.
9. Enter the standard deviation of the first population, if it is known. Otherwise, enter the standard deviation of the first sample.
10. Press the down arrow once.
11. Enter the standard deviation of the second population, if it is known. Otherwise, enter the standard deviation of the second sample.
12. Press the down arrow once.
13. Enter the name of the list (`L1`) that contains the data from the first sample.
14. Press the down arrow once.
15. Enter the name of the list (`L2`) that contains the data from the second sample.
16. Press the down arrow three times, skipping over the `Freq` options.
17. Select the appropriate alternative hypothesis.
18. Press the down arrow once. The word `Calculate` begins to flash.
19. Press `ENTER`. The calculator will display
• The alternative hypothesis
• The value of the the test statistic z.
• The p-value of the test.
• The means of the two samples.
• The standard deviations of the two samples.
• The sizes of the two samples.

### Method 2 - Statistics

1. Follow Steps 3 - 5 in Method 1 above.
2. Use the arrow keys to select the `Stats` option.
3. Press `ENTER`.
4. Press the down arrow once.
5. Enter the standard deviation of the first population, if it is known. Otherwise, enter the standard deviation of the first sample.
6. Press the down arrow once.
7. Enter the standard deviation of the second population, if it is known. Otherwise, enter the standard deviation of the second sample.
8. Press the down arrow once.
9. Enter the mean of the first sample.
10. Press the down arrow once.
11. Enter the sample size of the first sample.
12. Press the down arrow once.
13. Enter the mean of the second sample.
14. Press the down arrow once.
15. Enter the sample size of the second sample.
16. Press the down arrow once.
17. Follow Steps 17 - 19 in Method 1 above. The calculator will display the information listed in Step 19 of Method 1.