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Extra Credit Assignment: Spring 2016, Statistics 285: Section 04 35 points

Short Data Analysis Project/Methods Paper Due Date: Monday, May 2, 2016

Requirements - Data set of 20 points (observations, cases, study subjects, etc.) or more. (2 points)

Goal: Apply Methods learned from Chapters 2 through 8 to a data set gathered or provided by a reliable

source (Examples: www.census.gov; www.cdc.gov; etc. please not Wikipedia! Thank you!).

A. Data Analysis Portion

From Chapter 2: (2 points)

 Use relative frequency, mean, standard deviation, range, inter-quartile range, lower and upper limit values, box plot and bar or pie chart.

From Chapter 3: (4 points)

 Analyze the data set with at two types of probability methods.

From Chapters 4: (Choose 2: 6 points)

 Discrete Random Variables, Mean and Standard Deviation

 Binomial Distribution

 Poisson Distribution

 Hypergeometric

 Percentiles, Z-scores

From Chapter 5: (Choose 2: 3 points)

 Calculate the sampling distribution based on the mean

 Compute the sampling distribution of the sample proportion

From Chapter 6: (Choose 2: 3 points)

 Calculate the population mean, the confidence interval either sigma known or unknown  Apply Either the Normal z Statistic or t-interval procedure (based on sample size and distribution of

data)

 Calculate the necessary sample size

From Chapter 7: (3 points)

 Formulate hypothesis test for μ and illustrate rejection region

 Apply Hypothesis Test either using Normal z Statistic or Student's t-Statistic

From Chapter 8: (Choose 2: 4 points)

 Compute the standard deviation and confidence interval for two independent samples (will need a second data set of n = 20)

 Calculate either a one-tailed or two-tailed hypothesis test

 Calculate the paired difference confidence interval for µd = μ1 - μ2

 Use the large sample test of hypothesis about p1 - p2 Normal z statistic

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B. Interpretation (Explanation of Results – 10 points)

After completing all the statistical tests, write a report (at least two paragraphs), describing the rationale for the

statistical methods selected.

Make sure to address the following questions in your report, i.e. who, what, where, when and why, and how.

(1) Who or what is the unit of analysis? (2) Where is the data collected from, including the source website? (3) When was the data collected--what time frame, i.e. year, months. (4) Why is the research question important. (5) How do these statistical methods answer your research question? How do they illustrate or explain the

objective of your paper?

Then, in the third or final paragraph, summarize your conclusion based on your results. Find one scholarly

article (refereed journal publication) to support your interpretation of your results (why you believe your

conclusions are supported by the literature and why the methods you applied in your study support your

hypothesis). Refereed journals articles can be accessed easily via www.scholar.google.com or any of the

indexes available through our www.libraries.rutgers.edu downloadable in PDF format. Research investigators

consult the existing body of knowledge or conduct a literature search first when developing and testing

hypotheses, to extend, replicate and build on existing empirical research (i.e. based on hypothesis testing) —

either quantitative or qualitative.