A Study Includes the Accompanying Data on Compression Strength (Lb) $P$

question 18

Essay

A study includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberry drink and another sample filled with cola. Does the data suggest that the extra carbonation of cola results in a higher average compression strength? Base your answer on a $P$ -value. What assumptions are necessary for your analysis? $$\begin{array} { l c c c } \hline \text { Beverage } & \text { Sample Size } & \text { Sample Mean } & \text { Sample St. Dev. } \\\hline \text { Strawberry drink } & 15 & 546 & 21 \\\text { Cola } & 15 & 560 & 15 \\\hline\end{array}$$

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Definitions:

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Public funds provided to match private donations to political candidates under certain conditions, aiming to reduce the influence of private money in elections.

Proportional Representation

An electoral system in which parties gain seats in proportion to the number of votes cast for them, offering a more direct reflection of public opinion in legislative bodies than winner-take-all systems.

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