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:

Eccrine Glands

Sweat glands that are found all over the human body, primarily involved in body temperature regulation through the secretion of sweat.

Forearm

The region of the upper limb between the elbow and the wrist, comprising the radius and ulna bones.

Forehead

The part of the face above the eyebrows and below the hairline.

Palm

The inner surface of the hand from the wrist to the base of the fingers, known for its sensitivity and flexibility.