## Presentation on theme: "Do Now! Go to Read the following links:"— Presentation transcript:

Sequence of Events The Lottery Classifications

The Vietnam Draft Lottery (Fair or Unfair?)
Mr. Frew Stat Class Created in 2004

Vietnam War – A Background
The Vietnam War was a war fought between 1964 and 1975 on the ground in South Vietnam and bordering areas of Cambodia and Laos and in bombing runs over North Vietnam. Fighting on one side was a coalition of forces including the Republic of Vietnam (South Vietnam or the "RVN"), the United States, South Korea, Thailand, Australia, New Zealand, and the Philippines. Fighting on the other side was a coalition of forces including the Democratic Republic of Vietnam (North Vietnam) and the National Liberation Front (NLF), a South Vietnamese guerrilla movement. The USSR and People's Republic of China provided military aid to the North Vietnamese and to the NLF, but they were not military combatants. The war was part of a larger regional conflict involving the neighboring countries of Cambodia and Laos, known as the Second Indochina War. In Vietnam, this conflict is known as the American War. Citation:

During The Vietnam War, there was a draft.
However, there were accusations that the draft (especially in 1970) was unfair.

Was the draft in 1970 fair? In Excel, load the data set regarding the 1970 Draft Lottery. You will find a list of the lottery numbers associated with the 1970 draft, sorted by birthday. You should make an adequately labeled scatterplot comparing the day of the year (x axis) to the lottery number (y axis).

The Project Part #1 In a word document, I should see the adequately labeled scatterplot (each axis labeled, chart titled). In the same document, answer the question: “Does there seem to be any relationship between birthday and lottery number?” Hint: To answer this question, think about what a scatterplot with no correlation would look like.

Still searching for fairness…
Use Excel to find the five digit summary of the lottery numbers for each month. You should have twelve five digit summaries. Divide the work between you and your partner. Organize these into a readable chart and put them in your Word document.

Creating a Boxplot Diagram
Display the 12 boxplots on one adequately labeled piece of graph paper. Connect the medians of the twelve boxplots with a series of segments. This process is an attempt to find a pattern in the chaos of the initial scatterplot.

Drawing Conclusions On your Word document answer the following questions: After connecting the medians, does the lottery still seem fair? Think about: If every birthday had an equal chance of getting picked early (or late) in the draft, should the medians (or other five digit summary elements) be approximately equal or should they vary wildly? If your answer is that the lottery was unfair, generalize why you believe the lottery was unfair.

The Next Steps.. Repeat the data analysis process (scatterplot and boxplots) for the 1971 data located in Mr. Frew’s network folder. In your word document, compare and contrast the 1970 and 1971 draft lotteries writing with an emphasis towards comparing their fairness.

Postscript Read the following article and incorporate your opinions of them into your word document. Regarding what happened in the 1970 draft: Statisticians Charge Draft Lottery Was Not Random By DAVID E. ROSENBAUM Special to The New York Times New York Times (1857-Current file); Jan 4, 1970; ProQuest Historical Newspapers The New York Times pg. 66