Use the Traditional Method to Test the Given Hypothesis

Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected. 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. $$\begin{array} { l l l l l l l l } 62.13 & 65.09 & 64.18 & 66.72 & 63.09 & 61.15 & 67.50 & 64.65 \\63.80 & 64.21 & 60.17 & 68.28 & 66.49 & 62.10 & 65.73 & 64.72\end{array}$$