Identify the Null Hypothesis, Alternative Hypothesis, Test Statistic, P-Value, Conclusion $18.7$

question 37

Essay

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim
-A researcher wants to test the claim that convicted burglars spend an average of $18.7$ months in jail. She takes a random sample of 11 such cases from court files and finds that $\bar { x }$ $= 21.3$ months and $\mathrm { s } = 7.7$ months. Test the claim that $\mu = 18.7$ months at the $0.05$ significance level. Use the traditional method of testing hypotheses.

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Definitions:

Lesioning

A technique in neurological and psychological studies where specific brain areas are deliberately damaged or removed to study their function.

Electrical Stimulation

The use of electrical impulses to stimulate nerves or muscles for therapeutic purposes.

Nervous System

The complex network of nerve cells and fibers that transmits nerve impulses between parts of the body, coordinating voluntary and involuntary actions.

Endocrine System

A system of glands that secrete hormones into the bloodstream to regulate the body's growth, metabolism, and sexual development and function.