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

Essay

Find the critical value or values of $\chi ^ { 2 }$ based on the given information.
-Heights of men aged 25 to 34 have a standard deviation of 2.9. Use a 0.05 significance level to test the claim that
the heights of women aged 25 to 34 have a different standard deviation. The heights (in inches) of 16 randomly
selected women aged 25 to 34 are listed below. Round the sample standard deviation to five decimal places. $$\begin{array} { l l l l l l l l } 62.13 & 65.09 & 64.18 & 66.72 & 63.09 & 61.15 & 67.50 & 64.65 \\63.80 & 64.21 & 60.17 & 68.28 & 66.49 & 62.10 & 65.73 & 64.72\end{array}$$