MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Topic: Calculating the Degrees of Freedom, the Sample Variance, and the Estimated Standard Error for Evaluations Using the t Statistic**

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**1. Calculating Degrees of Freedom:**
You are planning to evaluate the mean of a single continuous variable from a study with a sample of n = 45 using the t statistic. What are the degrees of freedom for the sample?

- 46
- 45
- 43
- 44

*Correct Answer: 44*

**2. Determining Sample Variance:**
In another study, where you plan on evaluating a mean using the t statistic, you have a sample of n = 21 that has a sum of squares (SS) of 500. What is the variance for the sample?

- 250,000
- 5.00
- 22.36
- 25

*Correct Answer: 25*

**3. Calculating Estimated Standard Error:**
For a sample of n = 25 that has a sample variance of 400, what is the estimated standard error for the sample?

- 16
- 17
- 4.08
- 4

*Correct Answer: 4*

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This section is designed to aid in understanding the calculations associated with determining a sample's degrees of freedom, variance, and estimated standard error when evaluating means using the t statistic.
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Transcribed Image Text:**Topic: Calculating the Degrees of Freedom, the Sample Variance, and the Estimated Standard Error for Evaluations Using the t Statistic** --- **1. Calculating Degrees of Freedom:** You are planning to evaluate the mean of a single continuous variable from a study with a sample of n = 45 using the t statistic. What are the degrees of freedom for the sample? - 46 - 45 - 43 - 44 *Correct Answer: 44* **2. Determining Sample Variance:** In another study, where you plan on evaluating a mean using the t statistic, you have a sample of n = 21 that has a sum of squares (SS) of 500. What is the variance for the sample? - 250,000 - 5.00 - 22.36 - 25 *Correct Answer: 25* **3. Calculating Estimated Standard Error:** For a sample of n = 25 that has a sample variance of 400, what is the estimated standard error for the sample? - 16 - 17 - 4.08 - 4 *Correct Answer: 4* --- This section is designed to aid in understanding the calculations associated with determining a sample's degrees of freedom, variance, and estimated standard error when evaluating means using the t statistic.
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