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Use the Traditional Method to Test the Given Hypothesis

question 21

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.
62.1365.0964.1866.7263.0961.1567.5064.6563.8064.2160.1768.2866.4962.1065.7364.72\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:

Ellipse

A geometric shape that resembles a flattened circle and is defined mathematically as the locus of points such that the sum of the distances from two focal points is constant.

Circle

A simple closed shape in Euclidean geometry that is the set of all points in a plane that are at a given distance from a given point, the center.

After-School Activities

Programs or clubs that students can participate in after school hours, offering a range of educational, recreational, or social experiences.

Illegal Activities

Actions or behaviors that are prohibited by law and subject to legal penalties.

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