Directions: answers all questions using Microsoft word and excel
Math 336: Statistics Professor William Thompson Spring 2024 Writing Assignment #3 (3 - 5 pages) Deadline for submission: May 22, 2023 Directions: Answer all questions using Microsoft Word and Excel. a) Define a correlation between two variables. b) Give three examples of when variables are correlated. c) Define and distinguish among positive correlation, negative correlation, and no correlation. d) Describe the procedure for determining the strength of a correlation. e) Describe the three general categories of explanations for a correlation. Consider the following data on the rate of cocaine and heroin use (measured in cocaine and heroin consumption for every 100,000 people in the city population) and the city government expenditure on drug law enforcement in eight different cities. City Number of people consuming cocaine and heroin Expenditure on law enforcement Houston 523 per person Miami $8,834 343 San Antonio $10,536 256 $13,005 SanFrancisco 235 $5,552 Los Angeles 753 $7,255 New York 329 $14,356 Boston 118 $12,109 Detroit 291 $6,866 4) Find the sample correlation coefficient - 0. 38455 g) Determine if there is a significant correlation between the two variables by setting up a t -value hypothesis test, and using a level of significance of 0.05. Justify any claims being made as a result of the application of this test. h) What conclusions can be drawn from this analysis? Explain in writing why these statistical " techniques are being used. Explain how the correlation you have made, if any, affects your perception of the situation under consideration. If you believe that other statistical techniques could be used to produce more accurate results justify this belief. If you could have arrived at an alternate correlation describe how that correlation altered your perception of the situation being analyzed. Based on this statistical analysis, and other sources, write an essay for an argument in favor or against the legalization of drugs? Support any of your claims with statistical evidence along with identifiable sources. In preparation for this research project, I suggest consulting with librarians ahead of time, who may direct you suitable sources to deal with such questions. Perhaps attending a library information session, so that you can be instructed on suitable library research for this paper is a good idea. You can tell a librarian in advance what sources you would like her to focus on, so that you can receive a session tailored for this project. Note: Verification of any of your sources must be indicated by footnotes, which can be traced back to professional publications. The following are samples of some arguments that you could present and elaborate on
