What is the alternative hypothesis, \( H_{2} \), for this situation? \( \mu<10 \) \( \mu>10 \) \( \mu=10 \) \( \mu \neq 10 \) DONE

To determine the alternative hypothesis \( H_{2} \) for the given situation, we need to understand the context of hypothesis testing. 1. **Null Hypothesis (\( H_{0} \))**: This is typically a statement of no effect or no difference. In this case, it could be \( H_{0}: \mu = 10 \). 2. **Alternative Hypothesis (\( H_{2} \))**: This is what you want to test for. It represents a statement that contradicts the null hypothesis. Given the options: - \( \mu < 10 \) - \( \mu > 10 \) - \( \mu = 10 \) - \( \mu \neq 10 \) If we assume the null hypothesis is \( H_{0}: \mu = 10 \), then the alternative hypothesis would be that the mean is not equal to 10, which is represented by: \[ H_{2}: \mu \neq 10 \] Thus, the correct alternative hypothesis \( H_{2} \) for this situation is: \[ H_{2}: \mu \neq 10 \]