When the sample size is 15 and you are doing a t test, the number of degrees of freedom is 15. True False

MATLAB: An Introduction with Applications
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### Understanding Degrees of Freedom in t-Tests

#### Question:
When the sample size is 15 and you are doing a t-test, the number of degrees of freedom is 15.

**Options:**
- True
- False

#### Explanation:
To determine whether this statement is true or false, let's review the concept of degrees of freedom in the context of a t-test.

**Degrees of Freedom:**
The degrees of freedom (df) in a t-test is typically calculated as the sample size (n) minus 1. This is because, in statistical hypothesis testing, the degrees of freedom account for the number of values in the final calculation of a statistic that are free to vary.

**Calculation:**
Given:
- Sample size (n) = 15

Degrees of freedom (df) = n - 1
= 15 - 1
= 14

Therefore, when the sample size is 15, the degrees of freedom for the t-test are 14, not 15.

#### Correct Answer:
- False

This explanation helps in understanding how to determine the degrees of freedom when conducting a t-test based on the sample size provided.
Transcribed Image Text:### Understanding Degrees of Freedom in t-Tests #### Question: When the sample size is 15 and you are doing a t-test, the number of degrees of freedom is 15. **Options:** - True - False #### Explanation: To determine whether this statement is true or false, let's review the concept of degrees of freedom in the context of a t-test. **Degrees of Freedom:** The degrees of freedom (df) in a t-test is typically calculated as the sample size (n) minus 1. This is because, in statistical hypothesis testing, the degrees of freedom account for the number of values in the final calculation of a statistic that are free to vary. **Calculation:** Given: - Sample size (n) = 15 Degrees of freedom (df) = n - 1 = 15 - 1 = 14 Therefore, when the sample size is 15, the degrees of freedom for the t-test are 14, not 15. #### Correct Answer: - False This explanation helps in understanding how to determine the degrees of freedom when conducting a t-test based on the sample size provided.
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