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A Supermarket Sells Rotisserie Chicken at a Fixed Price Per

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A supermarket sells rotisserie chicken at a fixed price per chicken rather than by the weight of the chicken. The store advertises that the average weight of their chickens is 4.6 pounds. A random sample of 30 of the store's chickens yielded the weights (in pounds) shown below. 4.44.74.64.44.54.34.64.54.64.94.64.84.34.44.74.54.24.34.14.04.54.64.24.44.74.85.04.24.14.5\begin{array} { l l l l l l l l l l } 4.4 & 4.7 & 4.6 & 4.4 & 4.5 & 4.3 & 4.6 & 4.5 & 4.6 & 4.9 \\4.6 & 4.8 & 4.3 & 4.4 & 4.7 & 4.5 & 4.2 & 4.3 & 4.1 & 4.0 \\4.5 & 4.6 & 4.2 & 4.4 & 4.7 & 4.8 & 5.0 & 4.2 & 4.1 & 4.5\end{array} Find and interpret the p-value in a test of H0: μ = 4.6 against Ha: μ < 4.6.


Definitions:

Historical Standard Deviation

A measure of volatility or variability based on past data, indicating how much the values in a dataset have deviated from the mean over a certain period.

LSAT Exam

The Law School Admission Test, a standardized test designed to assess critical reading, analytical reasoning, and logical reasoning skills.

National Average

The average of a specific variable or measurement across an entire nation, often used in economic, educational, or environmental statistics.

University of Pennsylvania

An Ivy League research university located in Philadelphia, known for its strong programs in business, engineering, and medical research.

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