Find the value of \( t \) for a \( t \)-distribution with 9 degrees of freedom such that the area to the left of \( t \) equals 0.05 . Round your answer to three decimal places, if necessary.

To find the value of \( t \) for a \( t \)-distribution with 9 degrees of freedom such that the area to the left of \( t \) equals 0.05, you can look up the critical value in a \( t \)-distribution table or use statistical software. For 9 degrees of freedom and a left tail area of 0.05, the critical value \( t \) is approximately -1.833. Thus, the value of \( t \) is \( -1.833 \) (rounded to three decimal places).