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

question 160

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. $$\begin{array} { l l l l l l l l } 62.13 & 65.09 & 64.18 & 66.72 & 63.09 & 61.15 & 67.50 & 64.65 \\63.80 & 64.21 & 60.17 & 68.28 & 66.49 & 62.10 & 65.73 & 64.72\end{array}$$

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Definitions:

Democratic Elitism

A political theory that suggests a small, highly informed and capable group of elites governs in the interest of the larger population.

Elites

A small group of people within a society who hold a disproportionate amount of wealth, privilege, political power, or skill.

Democratic Values

Principles that support the practice of democracy, including fairness, equality, freedom of speech, and the rule of law.

Mail Order Politics

A form of political engagement where campaign materials, fundraising letters, and other political communications are sent to voters or potential supporters through the mail.