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Assume That a Simple Random Sample Has Been Selected from a Normally

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Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.
-Use a significance level of α=0.05\alpha = 0.05 to test the claim that μ32.6\mu \neq 32.6 . The sample data consists of 15 scores for which xˉ=39.7\bar { x } = 39.7 and s=5s = 5 .


Definitions:

Napoleon

A French military leader and emperor who rose to prominence during the French Revolution and its associated wars, known for his strategic skills and the Napoleonic Code.

French Émigrés

Refers to French individuals, especially nobility, who fled France during the French Revolution due to threats to their lives and status.

Philadelphia

A historic city in the United States, known for its significant role in American history, particularly during the Revolutionary War.

1790s

The decade from 1790 to 1799, notable for significant political and social changes globally, including the French Revolution.

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