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.

1. $\stackrel{¯}{x}$ = _____
2. s = _____
3. First quartile = _____
4. Median = _____
5. 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

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.)

1. $\stackrel{¯}{x}$ = ______
2. 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:

1. RF(X < k) = ______
2. RF(X > k) = ______
3. RF(X = k) = ______

____ State the distribution: X ~ _________

____ Find the following theoretical probabilities (rounded to four decimal places):

1. P(X < k) = ______
2. P(X > k) = ______
3. 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.

1. RF($\stackrel{¯}{X}$ < $\stackrel{¯}{k}$) = _______
2. RF($\stackrel{¯}{X}$ > $\stackrel{¯}{k}$) = _______
3. RF($\stackrel{¯}{X}$ = $\stackrel{¯}{k}$) = _______

Find the following theoretical probabilities (rounded to four decimal places):

1. P($\stackrel{¯}{X}$ < $\stackrel{¯}{k}$) = _______
2. P($\stackrel{¯}{X}$ > $\stackrel{¯}{k}$) = _______
3. P($\stackrel{¯}{X}$ = $\stackrel{¯}{k}$) = _______

______ 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:

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.

1. Brief discussion of the article, including the source
2. Statement of the claim made in the article (one of the hypotheses).
3. 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.
4. 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 non-statistician.
5. 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:

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

1. As you complete each task below, check it off. Answer all questions in your introduction or summary.
2. Check your course calendar for intermediate and final due dates.
3. Graphs may be constructed by hand or by computer, unless your instructor informs you otherwise. All graphs must be neat and accurate.
4. All other responses must be done on the computer.
5. Neatness and quality of explanations are used to determine your final grade.

Part I: Bivariate Data

Introduction

Analysis

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 x-values might be 1971, 1972, 1973, 1974, …, 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.

1. Sample mean = ______
2. Sample standard deviation = ______
3. First quartile = ______
4. Third quartile = ______
5. Median = ______
6. 70th percentile = ______
7. Value that is 2 standard deviations above the mean = ______
8. 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 20-26,27-33,34-40,41-47,48-54,55-61 . . . Instead, maybe use age groups 19.5-24.5, 24.5-29.5, . . . or 19.5-29.5, 29.5-39.5, 39.5-49.5, . . .

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 “Intro” and “Analysis.”

  ____ 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