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1.
This Discussion directs students to analyze a financial plan that realistically portrays a typical budgeting scheme. Students will calculate a mortgage payment and the effects of interest and financing on their budget. Last name ANG
a. Select the first three letters of your last name. Each letter has a numerical place value in the alphabet; for example D is 4, L is 12 and Z is 26. Add the three place values together; for example Wallace would yield WAL which is 23+1+12 = 36. Show your work.
b. Multiply your sum by 1200. This is your yearly income for the Week Four Discussion. Most everyone should have a different yearly income, unless the same last name is shared by two people.
c. Each student has these monthly expenses: Car payment = $236.95, Power bill = $56.77, Water bill = $32 and cell phone bill = $63.42.
d. Each student also has a yearly educational bill of $7800 which includes textbooks and classes.
e. Calculate your monthly income. Round to the nearest cent. Show your work.
f. What percent of your monthly income is the car payment?
g. Subtract your monthly expenses listed in part c. Use this value and calculate what percent of your income is now available to spend for food, clothing and your rent or mortgage.
h. Use the plan at the bottom of Page 454, "Mathematics in Our World," and calculate the monthly mortgage payment established by your monthly income.
i. Assume you can afford a down payment equal to 25% of your yearly income. What purchase price can you afford for a home?
j. Respond to at least two of your classmates' postings. Make sure you review their calculations and let them know if their income seems sufficient to cover their monthly expenses.

2.
This Discussion will test students' ability to define and use the various vocabulary words associated with statistics. The results of continued statistical analyses guide our everyday lives. For example, "Why do students choose to take online classes instead of classes in a traditional classroom?" or "What is the most watched television show at 8 p.m. by low-income families?" These types of questions allow companies and agencies to make good sound decisions based on mathematical models and scientific outcomes and not on intuition or feelings.
a. In your own words explain the difference between "descriptive statistics" and "inferential statistics." Do not just give definitions.
b. In your own words, define the four different sampling techniques.
c. Develop your own hypothesis about a situation of interest, for example: "Middle income families containing four members spend 10% of their gross income on clothing per year."
d. Select one of the four sampling techniques and give a detailed design of how you would gather sampling data to answer your hypothesis.
e. Select a second sampling technique for the same hypothesis and give a second detailed design of how you would gather sampling data.
f. Comment on two of your classmates' postings. Explain to the author which of their two sampling designs seems better or more appropriate for gathering unbiased random data for their given hypothesis.

3.
This Discussion will give students the opportunity to calculate or identify the three measures of central tendency. Students will be asked to select an appropriate real life situation where one measure would be more appropriate than the other two measures of center.
a. Select a common topic or hypothesis and record the topic in your posting, for example: "What is the average number of hours you watch TV every week?" You may use one of your Week Four hypotheses.
b. Sample at least 15 people and record their data in a simple table or chart; study the examples from Unit 12-3.
c. You can gather your data at work, on the phone, or via some other method. This is your "Sampling Design." Which of the four sampling techniques best describes your design?
d. Explain in moderate detail the method you used to gather your data. In statistics this venture is called the "Methodology."
e. Make sure you break your sample into classes or groups, such as: males/females or ages or time of day, etc.
f. Calculate the mean, median, and mode for your data as a whole.
g. Now calculate the mean, median, and mode of each of your classes or groups.
h. Indicate which measure of central tendency BEST describes your data and WHY.
i. Now compare your results in part h for each class or group, and point out any interesting results or unusual outcomes between the classes or groups. This is called a "comparative analysis" - using our results to explain interesting outcomes or differences (for example, between men and women).
j. Comment on at least two of your classmates' postings. Make sure you comment on their hypothesis (topic), their design and whether you agree or do not agree with their BEST measure of central tendency.

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