D  Group and Partner Projects
D  Group and Partner Projects
Univariate Data
Student Learning Objectives
 The student will design and carry out a survey.
 The student will analyze and graphically display the results of the survey.
Instructions
As you complete each task below, check it off. Answer all questions in your summary.
Here are two examples, but you may NOT use them: number of M&M's per bag, number of pencils students have in their backpacks.
 $\stackrel{\xc2\xaf}{x}$ = _____
 s = _____
 First quartile = _____
 Median = _____
 70^{th} percentile = _____
____ What value is two standard deviations above the mean?
____ What value is 1.5 standard deviations below the mean?
Assignment Checklist
You need to turn in the following typed and stapled packet, with pages in the following order:
 Cover sheet: name, class time, and name of your study
 Summary page: This should contain paragraphs written with complete sentences. It should include answers to all the questions above. It should also include statements describing the population under study, the sample, a parameter or parameters being studied, and the statistic or statistics produced.
 URL for data, if your data are from the World Wide Web
 Chart of data, frequency, relative frequency, and cumulative relative frequency
 Page(s) of graphs: histogram and box plot
Continuous Distributions and Central Limit Theorem
Student Learning Objectives
 The student will collect a sample of continuous data.
 The student will attempt to fit the data sample to various distribution models.
 The student will validate the central limit theorem.
Instructions
As you complete each task below, check it off. Answer all questions in your summary.
Part I: Sampling
____ Decide what continuous data you are going to study. (Here are two examples, but you may NOT use them: the amount of money a student spent on college supplies this term, or the length of time distance telephone call lasts.)
 $\stackrel{\xc2\xaf}{x}$ = ______
 s = ______
____ Construct a histogram of your data containing five to ten intervals of equal width. The histogram should be a representative display of your data. Label and scale it.
Part II: Possible Distributions
____ Suppose that X followed the following theoretical distributions; set up each distribution using the appropriate information from your data:
Note
$RF=\frac{\text{frequency}}{\text{total\xc2number\xc2surveyed}}$
 RF(X < k) = ______
 RF(X > k) = ______
 RF(X = k) = ______
Note
You should have one page for the uniform distribution, one page for the exponential distribution, and one page for the normal distribution.
____ State the distribution: X ~ _________
____ Find the following theoretical probabilities (rounded to four decimal places):
 P(X < k) = ______
 P(X > k) = ______
 P(X = k) = ______
____ Compare the relative frequencies to the corresponding probabilities. Are the values close?
Part III: CLT Experiments
______ From your original data (before ordering), use a random number generator to pick 40 samples of size five. For each sample, calculate the average.
 RF($\stackrel{\xc2\xaf}{X}$ < $\stackrel{\xc2\xaf}{k}$) = _______
 RF($\stackrel{\xc2\xaf}{X}$ > $\stackrel{\xc2\xaf}{k}$) = _______
 RF($\stackrel{\xc2\xaf}{X}$ = $\stackrel{\xc2\xaf}{k}$) = _______
Find the following theoretical probabilities (rounded to four decimal places):
 P($\stackrel{\xc2\xaf}{X}$ < $\stackrel{\xc2\xaf}{k}$) = _______
 P($\stackrel{\xc2\xaf}{X}$ > $\stackrel{\xc2\xaf}{k}$) = _______
 P($\stackrel{\xc2\xaf}{X}$ = $\stackrel{\xc2\xaf}{k}$) = _______
______ Draw the graph of the theoretical distribution of $X$.
In three to five complete sentences for each, answer the following questions; give thoughtful explanations:
Assignment Checklist
You need to turn in the following typed and stapled packet, with pages in the following order:
Hypothesis TestingArticle
Student Learning Objectives
 The student will identify a hypothesis testing problem in print.
 The student will conduct a survey to verify or dispute the results of the hypothesis test.
 The student will summarize the article, analysis, and conclusions in a report.
Instructions
As you complete each task, check it off. Answer all questions in your summary.
 Brief discussion of the article, including the source
 Statement of the claim made in the article (one of the hypotheses).
 Detailed description of how, where, and when you collected the data, including the sampling technique; did you use cluster, stratified, systematic, or simple random sampling (using a random number generator)? As previously mentioned, convenience sampling is not acceptable.
 Conclusion about the article claim in light of your hypothesis test; this is the conclusion of your hypothesis test, stated in words, in the context of the situation in your project in sentence form, as if you were writing this conclusion for a nonstatistician.
 Sentence interpreting your confidence interval in the context of the situation in your project
Assignment Checklist
Turn in the following typed (12 point) and stapled packet for your final project:
____Graphic representation of your data, created following the guidelines previously discussed; include only graphs which are appropriate and useful:
Bivariate Data, Linear Regression, and Univariate Data
Student Learning Objectives
 The students will collect a bivariate data sample through the use of appropriate sampling techniques.
 The student will attempt to fit the data to a linear model.
 The student will determine the appropriateness of linear fit of the model.
 The student will analyze and graph univariate data.
Instructions
 As you complete each task below, check it off. Answer all questions in your introduction or summary.
 Check your course calendar for intermediate and final due dates.
 Graphs may be constructed by hand or by computer, unless your instructor informs you otherwise. All graphs must be neat and accurate.
 All other responses must be done on the computer.
 Neatness and quality of explanations are used to determine your final grade.
Part I: Bivariate Data
Introduction
____State the bivariate data your group is going to study.Here are two examples, but you may NOT use them: height vs. weight and age vs. running distance.
Analysis
____On a separate sheet of paper construct a scatter plot of the data. Label and scale both axes.Part II: Univariate Data
In this section, you will use the data for ONE variable only. Pick the variable that is more interesting to analyze. For example: if your independent variable is sequential data such as year with 30 years and one piece of data per year, your xvalues might be 1971, 1972, 1973, 1974, â€¦, 2000. This would not be interesting to analyze. In that case, choose to use the dependent variable to analyze for this part of the project.
 Sample mean = ______
 Sample standard deviation = ______
 First quartile = ______
 Third quartile = ______
 Median = ______
 70th percentile = ______
 Value that is 2 standard deviations above the mean = ______
 Value that is 1.5 standard deviations below the mean = ______
_____Construct a histogram displaying your data. Group your data into six to ten intervals of equal width. Pick regularly spaced intervals that make sense in relation to your data. For example, do NOT group data by age as 2026,2733,3440,4147,4854,5561 . . . Instead, maybe use age groups 19.524.5, 24.529.5, . . . or 19.529.5, 29.539.5, 39.549.5, . . .
Due Dates
 Part I, Intro: __________ (keep a copy for your records)
 Part I, Analysis: __________ (keep a copy for your records)

Entire Project, typed and stapled: __________
____ Cover sheet: names, class time, and name of your study
____ Part I: label the sections â€œIntroâ€ and â€œAnalysis.â€
____ Part II:
____ Summary page containing several paragraphs written in complete sentences describing the experiment, including what you studied and how you collected your data. The summary page should also include answers to ALL the questions asked above.
____ All graphs requested in the project
____ All calculations requested to support questions in data
____ Description: what you learned by doing this project, what challenges you had, how you overcame the challenges
Note
Include answers to ALL questions asked, even if not explicitly repeated in the items above.