Purpose

To assess your ability to:

• use ANOVA to make an inference about a population
• perform hypothesis tests of the difference of two proportions
• perform hypothesis tests of the difference of two independent means
• perform hypothesis tests of the difference of the two dependent means
• determine the relationship between two variables using correlation and regression analysis
• interpret the results of a regression analysis
• compose a statistical thesis summary that demonstrates application to an assigned organization

Overview

In this project you are encouraged to be very creative . The project may be serious or it may be funn y and entertaining. This is a formal report and must follow all APA guidelines.

In this project you need to convince your audience of a point, make a sales pitch, or argue a position on one side of an issue. After you have chosen a topic, you will need to either find or create data that support your findings. Creating your data is not considered to be proper procedure in the real world and sometimes even warrants a jail sentence; however, for the purposes of this course, it will be permitted so that you may devote the time and energy of the team to the statistical applications. If you do create the data, the sections of your paper that describe the data collection process will be invented as well, but they should approach realism, and you should use a footnote to tell your instructor that the data were created.

Note that you are required to substantiate your viewpoint using two different hypothesis tests and a linear regression.

Action Items

1. Choose a topic, locate data, perform appropriate tests, and write a formal report on "your findings."
2. Gather or create data. If you "invent" the data, please footnote that fact and describe a method that might have been used to gather the data. If you find data, then document your source and indicate the sampling method and whether your sample was random or not. Either way, your data sets will need to be related to your topic and included in your appendix. You will need a minimum of three data sets with at least 30 values in each, but you may use more as needed to complete the requirements. You will need several different sets of data, all numeric.
   • One set of bivariate data (two pieces of data taken from each unit in the sample) that is appropriate for a linear regression. There are several options for this data. This could be a trend line with one data set on a time interval axis. This could be two different but related variables, like a person's height and weight. This could be "before" and "after" data.
   • Two or more sets of data that are from different populations. This data will be used in the hypothesis test to determine if the means are equal.
   • A paired set of data that can be used in a "paired" hypothesis test.
   • All data sets must be included in an appendix of the document.
3. For the bivariate data:
   • Determine which is the independent and which is the dependent variable.
   • Create a scatter diagram.
   • Determine the coefficient of correlation and interpret it.
   • Determine the equation of the regression line and explain.
   • Interpret each value in the regression equation and explain how the equation and line are related.
   • Graph the regression line on a scatter diagram.
   • Make a prediction for some value within the x -range and explain the meaning and the reliability of the prediction.
   • From your data set determine the point with the largest residual and explain its interpretation.
4. For the two (or more) sets of data from different populations:
   • Perform a hypothesis test for the difference of two independent means or an ANOVA.
   • Remember to show all steps including the statements of the hypotheses, conditions, computational results, decisions, and interpretation. These should be in paragraph form, not numbered.
   • Remember to show all steps.
5. For the paired data:
   • Perform a hypothesis test for the difference of two means.
   • Remember to show all steps and to explain and give an interpretation of the results.

Price: $25.98

Solution: The downloadable solution consists of 17 pages, 898 words and 9 charts.
Deliverable: Word Document