# t-Test

This example teaches you how to perform a **t-Test** in **Excel**. The t-Test is used to test the null hypothesis that the means of two populations are equal.

Below you can find the study hours of 6 female students and 5 male students.

H_{0}: μ_{1} - μ_{2} = 0

H_{1}: μ_{1} - μ_{2} ≠ 0

To perform a t-Test, execute the following steps.

1. First, perform an F-Test to determine if the variances of the two populations are equal. This is not the case.

2. On the Data tab, click Data Analysis.

Note: can't find the Data Analysis button? Click here to load the Analysis ToolPak add-in.

3. Select t-Test: Two-Sample Assuming Unequal Variances and click OK.

4. Click in the Variable __1__ Range box and select the range A2:A7.

5. Click in the Variable __2__ Range box and select the range B2:B6.

6. Click in the Hypothesized Mean Difference box and type 0 (H_{0}: μ_{1} - μ_{2} = 0).

7. Click in the Output Range box and select cell E1.

8. Click OK.

Result:

Conclusion: We do a two-tail test (inequality). lf t Stat < -t Critical two-tail or t Stat > t Critical two-tail, we reject the null hypothesis. This is not the case, -2.365 < 1.473 < 2.365. Therefore, we do not reject the null hypothesis. The observed difference between the sample means (33 - 24.8) is not convincing enough to say that the average number of study hours between female and male students differ significantly.

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