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This guide contains all of the ASC's statistics resources. If you do not see a topic, suggest it through the suggestion box on the Statistics home page.

- Home
- Excel - Tutorials
- ProbabilityToggle Dropdown
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- Statistics BasicsToggle Dropdown
- Z-Scores and the Standard Normal DistributionToggle Dropdown
- Accessing SPSS
- SPSS-TutorialsToggle Dropdown
- Effect SizeToggle Dropdown
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- Mediation and Moderation
- Regression AnalysisToggle Dropdown
- T-Test
- Predictive Analytics
- Quantitative Research Questions
- Hypothesis TestingToggle Dropdown
- Statistics Group Sessions

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Search our FAQs on the Academic Success Center's Ask a Coach page.

The single sample t-test is used to compare the sample mean from one sample to a given population mean. The purpose of this test is to determine if the sample is drawn from (or different from) the given population.

Null: The sample mean is not significantly different from the population mean.

Alternative: The sample mean is significantly different from the population mean.

- Determining if a treatment is effective at reducing symptoms or improving scores based on population parameters (not control group comparison)
- Does CBT increase the proportion of patients that successfully complete therapy?
- Does the Read with Me program improve reading scores?
- Is the new facility able to produce more products than previous ones?

- Determining if there's been a change in some dynamic (i.e. IQ) since the time that the parameter was generated
- Has the average IQ increased since 2000?
- Does the current class perform better on exams than previous students?

When reporting the results of the single-sample t-test, APA Style has very specific requirements on what information should be included. Below is the key information required for reporting the results of the. You want to replace the red text with the appropriate values from your output.

*t*(degrees of freedom) = the *t* statistic, *p* = p value.

**Example**:

A single-sample t-test was run to determine if the current freshman class's performance on the exam was different than previous students' performance. The results showed that the current freshmen's performance (*M *= 83, *SD* = 4.2) was not significantly different from the existing average (*t*(34) = 1.03, *p* = .231).

- When reporting the p-value, there are two ways to approach it. One is when the results are not significant. In that case, you want to report the p-value exactly:
*p*= .24. The other is when the results are significant. In this case, you can report the p-value as being less than the level of significance:*p*< .05. - The
*t*statistic should be reported to two decimal places without a 0 before the decimal point: .36 - Degrees of freedom for this test are N - 1, where "N" represents the number of people in the sample. N can be found in the SPSS output.

Laerd Statistics - One-Sample T-Test guide

Khan Academy - Testing hypotheses about a mean

Statistics Solutions - One Sample T-Test

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Introduction to SPSS: Basics Skills & Descriptive Statistics group session

Writing Research Design group session

- Last Updated: Nov 30, 2022 3:21 PM
- URL: https://library.ncu.edu/statsresources
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