10. For a "One Sample \( Z^{\prime \prime} \) test, you will first need to find the population standard deviation sigma \( (\sigma) \). The population standard deviation for each of the three possible variables is listed below. SELECT the sigma value for the variable you chose (Choose one): a. Overall Unemployment Rate 2023 Sigma: \( 5.044 \% \) b. Female Unemployment Rate 2023 Sigma: \( 4.929 \% \) c. Male Unemployment Rate 2023 Sigma: \( 4.617 \% \) down each of the following descriptive statistics. Sample Mean ( \( \bar{x} \) ): IEnter vour answer here.] d Sample Z Test" tab in the "Statistics Toolbox". Then Sample Standard Deviation (s): [Enter your answer here.] Minimum: [Enter your answer here.]

To solve this problem, we need to follow these steps: 1. **Select a variable and its corresponding population standard deviation (\(\sigma\)).** 2. **Determine the sample mean (\(\bar{x}\)), sample standard deviation (s), and minimum value from the sample data.** ### Step 1: Select a Variable Let's choose the **Overall Unemployment Rate 2023** with the population standard deviation: - \(\sigma = 5.044\%\) ### Step 2: Gather Sample Data Since the problem does not provide specific sample data, we will need to assume that you have a sample dataset from which you can calculate the sample mean, sample standard deviation, and minimum value. ### Step 3: Calculate Descriptive Statistics 1. **Sample Mean (\(\bar{x}\))**: This is calculated by summing all the sample values and dividing by the number of samples. \[ \bar{x} = \frac{\sum x_i}{n} \] 2. **Sample Standard Deviation (s)**: This is calculated using the formula: \[ s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n - 1}} \] 3. **Minimum Value**: This is simply the smallest value in the sample dataset. ### Step 4: Enter Your Answers Since I do not have the actual sample data, please provide the sample values so that I can help you calculate the sample mean, sample standard deviation, and minimum value. If you have the data, please list it, and I will perform the calculations for you.