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Three Physical Pendulums, with Masses M1, M2 = 2m1, and M3

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Three physical pendulums, with masses m1, m2 = 2m1, and m3 = 3m1, have the same shape and size and are suspended at the same point. Rank them according to their periods, from shortest to longest.


Definitions:

Critical Value

A critical value is a threshold or cut-off value that defines regions where the test statistic leads to the acceptance or rejection of the null hypothesis in hypothesis testing.

Frequency Distributions

A statistical analysis tool that shows how often each different value in a set of data occurs, often illustrated as a table or graph.

Wilcoxon Signed-Rank Sum Test

This is a type of statistical test that doesn't rely on predefined parameters and is utilized to analyze whether two related samples, matched samples, or repeated measures on a single sample have differing population mean ranks.

Matched Pair

A technique in experimental design where pairs of subjects are closely matched based on certain key characteristics, and one subject from each pair is assigned to each experiment group.

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