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A Study Was Conducted to Determine If There Was a Relationship

question 29

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A study was conducted to determine if there was a relationship between the prices a non-member of a club paid for various publications and the prices that a member paid for the same publications. The data collected are shown below. Find the value of

x2\sum x^{2}  Non-member  Member  Price, x Price, y58324222462032162519755835346348\begin{array}{lc}\text { Non-member } & \text { Member } \\\text { Price, } x & \text { Price, } y \\58 & 32 \\42 & 22 \\46 & 20 \\32 & 16 \\25 & 19 \\75 & 58 \\35 & 34 \\63 & 48\end{array}


Definitions:

Margin of Error

The degree of inaccuracy or the range within which the true value is expected to lie in statistical surveys, reflecting the confidence in the results.

P-value

A statistical measure that helps determine the significance of results obtained in research, indicating the probability of observing the results by chance under a null hypothesis.

Correlation Coefficient

A statistical measure that describes the size and direction of a relationship between two variables, ranging from -1 to +1.

Behaviorism

A theory of learning based on the idea that all behaviors are acquired through conditioning.

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