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:

Email Addresses

Digital identifiers used for sending or receiving electronic mail over the internet, consisting of a user name and domain name.

Probability Samples

Sampling techniques that ensure every member of the population has a known chance of being selected for the sample.

Researcher Judgment

The use of personal expertise and knowledge by a researcher to make decisions within the research process.

Stratified Random Sampling

A sampling method that divides the population into smaller groups, or strata, and random samples are taken from each stratum.