Use the Traditional Method to Test the Given Hypothesis

question 27

Essay

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

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Definitions:

Commanding Authority

The power or right to give orders, make decisions, and enforce obedience.

Gender-Related Behavior

Actions or behaviors that are influenced by or associated with one's gender, often shaped by societal norms and expectations.

Foot-In-The-Door

A persuasion technique that involves getting a person to agree to a small request to increase the chances they will agree to a larger request later.

Milgram Experiments

A series of social psychology experiments conducted by Stanley Milgram, which measured the willingness of participants to obey authority figures that instructed them to perform acts conflicting with their personal conscience.