**Educational Content: Statistical Analysis**### Sample Variance CalculationIn a study where you plan to evaluate a mean using the t-statistic, a sample is taken with the following data:- Sample size (n) = 41- Sum of Squares (SS) = 600**Question:** What is the variance for the sample?**Answer Options:**- 360,000- 3.87- 24.49- 15### Estimated Standard Error CalculationFor another set of data:- Sample size (n) = 36- Sample variance = 1,296**Question:** What is the estimated standard error for the sample?**Answer Options:**- 37- 6- 6.09- 36### Explanation:1. **Sample Variance Formula:** \[ \text{Variance} = \frac{\text{SS}}{n-1} \]2. **Standard Error Formula:** \[ \text{Standard Error} = \sqrt{\frac{\text{Sample Variance}}{n}} \] These calculations are fundamental when interpreting data and determining the reliability of statistical conclusions.

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Description: **Educational Content: Statistical Analysis**### Sample Variance CalculationIn a study where you plan to evaluate a mean using the t-statistic, a sample is taken with the following data:- Sample size (n) = 41- Sum of Squares (SS) = 600**Question:**

Given : Study plan is on evaluating a mean using t statistic . Sample is of n = 41 that has an SS of…

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With another study, where you also plan on evaluating a mean using the t statistic, you have a sample of n = 41 that has an SS of 600. What is the variance for the sample? 360,000 3.87 O 24.49 15 For a sample of n = 36 that has a sample variance of 1,296, what is the estimated standard error for the sample? 37 6 О 6.09 О 36 0000

With another study, where you also plan on evaluating a mean using the t statistic, you have a sample of n = 41 that has an SS of 600. What is the variance for the sample? 360,000 3.87 O 24.49 15 For a sample of n = 36 that has a sample variance of 1,296, what is the estimated standard error for the sample? 37 6 О 6.09 О 36 0000

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**Educational Content: Statistical Analysis**

### Sample Variance Calculation
In a study where you plan to evaluate a mean using the t-statistic, a sample is taken with the following data:
- Sample size (n) = 41
- Sum of Squares (SS) = 600

**Question:** What is the variance for the sample?

**Answer Options:**
- 360,000
- 3.87
- 24.49
- 15

### Estimated Standard Error Calculation
For another set of data:
- Sample size (n) = 36
- Sample variance = 1,296

**Question:** What is the estimated standard error for the sample?

**Answer Options:**
- 37
- 6
- 6.09
- 36

### Explanation:
1. **Sample Variance Formula:**
\[
\text{Variance} = \frac{\text{SS}}{n-1}
\]

2. **Standard Error Formula:**
\[
\text{Standard Error} = \sqrt{\frac{\text{Sample Variance}}{n}}
\]

These calculations are fundamental when interpreting data and determining the reliability of statistical conclusions.

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