Find the Critical Value or Values Of $\chi ^ { 2 }$

Essay

Find the critical value or values of $\chi ^ { 2 }$ based on the given information.
-For randomly selected adults, IQ scores are normally distributed with a standard deviation of 15. The scores of
14 randomly selected college students are listed below. Use a 0.10 significance level to test the claim that the
standard deviation of IQ scores of college students is less than 15. Round the sample standard deviation to three
decimal places. $$\begin{array} { c c c c c c c } 115 & 128 & 107 & 109 & 116 & 124 & 135 \\127 & 115 & 104 & 118 & 126 & 129 & 133\end{array}$$