Question 8 of 13 , Step 1 of 1 Find the value of \( t_{0.10} \) for a \( t \)-distribution with 9 degrees of freedom. Round your answer to three decimal places, if necessary. Answer

To find the value of \( t_{0.10} \) for a \( t \)-distribution with 9 degrees of freedom, you'd typically look it up in a \( t \)-distribution table or use statistical software. Based on the table values, \( t_{0.10} \) corresponds to the value in the 90th percentile for 9 degrees of freedom. This value is approximately \( 1.383 \) when rounded to three decimal places. The \( t \)-distribution is commonly used in hypothesis testing and confidence intervals when the sample size is small and the population standard deviation is unknown. So, understanding critical values like \( t_{0.10} \) is essential for accurate statistical analysis in fields like psychology, medicine, and social sciences!