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

question 110

Essay

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.
-A researcher wants to check 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 $\bar { x } = 20.5$ months and $s = 7.9$ months. Test the null hypothesis that $\mu = 18.7$ at the $0.05$ significance level.

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Definitions:

Microinches

A unit of length used in engineering and machining that equals one millionth of an inch, often used to specify surface finish.

Micrometers

Precision measuring instruments used to measure very small dimensions with high accuracy.

Quality of Finish

Refers to the surface texture, accuracy, and visual appearance of a manufactured part after production.

General Note

A notation on engineering drawings or documents that provides additional information applicable to the entirety of the drawing.