# TI-83 Instructions

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

- Method 1 - Data
- Enter the data from the first sample into a list, say
`L`_{1}

.
- Enter the data from the second sample into another list, say
`L`_{2}

.
- Press
`STAT`

. The `STAT`

menus appear and the `EDIT`

menu title is highlighted.
- Select the
`TESTS`

menu title. The `TESTS`

menu appears.
- Select
`2-SampZTest`

, item #3. A list of options appears.
- On the first line are two options:
`Data`

and `Stats`

. Use the arrow keys to select `Data`

.
- Press
`ENTER`

.
- Press the down arrow once.
- Enter the standard deviation of the first population, if it is known. Otherwise, enter the standard deviation of the first sample.
- Press the down arrow once.
- Enter the standard deviation of the second population, if it is known. Otherwise, enter the standard deviation of the second sample.
- Press the down arrow once.
- Enter the name of the list (
`L`_{1}

) that contains the data from the first sample.
- Press the down arrow once.
- Enter the name of the list (
`L`_{2}

) that contains the data from the second sample.
- Press the down arrow three times, skipping over the
`Freq`

options.
- Select the appropriate alternative hypothesis.
- Press the down arrow once. The word
`Calculate`

begins to flash.
- 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
- Follow Steps 3 - 5 in Method 1 above.
- Use the arrow keys to select the
`Stats`

option.
- Press
`ENTER`

.
- Press the down arrow once.
- Enter the standard deviation of the first population, if it is known. Otherwise, enter the standard deviation of the first sample.
- Press the down arrow once.
- Enter the standard deviation of the second population, if it is known. Otherwise, enter the standard deviation of the second sample.
- Press the down arrow once.
- Enter the mean of the first sample.
- Press the down arrow once.
- Enter the sample size of the first sample.
- Press the down arrow once.
- Enter the mean of the second sample.
- Press the down arrow once.
- Enter the sample size of the second sample.
- Press the down arrow once.
- Follow Steps 17 - 19 in Method 1 above. The calculator will display the information listed in Step 19 of Method 1.