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To perform a one sample t-test on a TI-84 calculator, first enter the data into a list, then go to the STAT menu and select the TESTS option. Choose the one sample t-test, enter the list name and the value of the population mean. The calculator will then display the t-statistic and the p-value associated with the test. The p-value can be used to assess the statistical significance of the test.

A is used to test whether or not the mean of a population is equal to some value.

This tutorial explains how to conduct a one sample t-test on a TI-84 calculator.

**Example: One Sample t-test on a TI-84 Calculator**

Researchers want to know if a certain type of car gets 20 miles per gallon or not. They obtain a random sample of 74 cars and find that the mean is 21.29 mpg while the standard deviation is 5.78 mpg. Use this data to perform a one sample t-test to determine if the true mpg for this type of car is equal to 20 mpg.

**Step 1: Select T-Test.**

Press Stat. Scroll over to TESTS. Scroll down to T-Test and press ENTER.

**Step 2: Fill in the necessary info.**

The calculator will ask for the following information:

**Inpt:**Choose whether you are working with raw data (Data) or summary statistics (Stats). In this case, we will highlight Stats and press ENTER.**μ**The mean to be used in the null hypothesis. We will type 20 and press ENTER._{0}:**x:**The sample mean. We will type 21.29 and press ENTER.**s**: The sample standard deviation. We will type 5.78 and press ENTER._{x}**n**: The sample size. We will type 74 and press ENTER.**μ**:The alternative hypothesis to be used. Since we are performing a two-tailed test, we will highlight**≠****μ**and press ENTER. This indicates that our alternative hypothesis is μ≠20. The other two options would be used for left-tailed tests (<μ_{0 }_{0}) and right-tailed tests (>μ_{0}) .

Lastly, highlight Calculate and press ENTER.

**Step 3: Interpret the results.**

Our calculator will automatically produce the results of the one-sample t-test:

Here is how to interpret the results:

**μ≠20**: This is the alternative hypothesis for the test.**t=1.919896124**: This is the t test-statistic.**p=0.0587785895**: This is the p-value that corresponds to the test-statistic.**x=21.59**. This is the sample mean that we entered.**s**_{x}**=5.78**. This is the sample standard deviation that we entered.**n=74**: This is the sample size that we entered.