1) Assuming 11 degrees of freedom, find to.09(df). to.09(df) = 2) Assuming 15 degrees of freedom, find to.96(df). to.96(df) =

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### Finding T-Distribution Critical Values

1) **Problem 1:**
   - **Task:** Assuming 11 degrees of freedom, find \( t_{0.09}(df) \).
   - **Solution Box:** \[ t_{0.09}(df) = \_\_\_\_\_\_\_\_\_ \]

2) **Problem 2:**
   - **Task:** Assuming 15 degrees of freedom, find \( t_{0.96}(df) \).
   - **Solution Box:** \[ t_{0.96}(df) = \_\_\_\_\_\_\_\_\_ \]

### Explanation:
The task is to find the critical t-values for specific degrees of freedom and given probabilities. Use a t-distribution table or statistical software to find these values. The t-distribution is commonly used in statistical analyses to determine the critical value for hypothesis testing or confidence interval estimation when the sample size is small.
Transcribed Image Text:### Finding T-Distribution Critical Values 1) **Problem 1:** - **Task:** Assuming 11 degrees of freedom, find \( t_{0.09}(df) \). - **Solution Box:** \[ t_{0.09}(df) = \_\_\_\_\_\_\_\_\_ \] 2) **Problem 2:** - **Task:** Assuming 15 degrees of freedom, find \( t_{0.96}(df) \). - **Solution Box:** \[ t_{0.96}(df) = \_\_\_\_\_\_\_\_\_ \] ### Explanation: The task is to find the critical t-values for specific degrees of freedom and given probabilities. Use a t-distribution table or statistical software to find these values. The t-distribution is commonly used in statistical analyses to determine the critical value for hypothesis testing or confidence interval estimation when the sample size is small.
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