If you are curious about the kinds of questions statisticians ask, check out the list below, which comes to us from the Pomona College Economics Department. You don't have to be a genius, just curious.
Comparing Two Samples1. Compare the prices of men's and women's T-shirts.
2. Compare the prices of men's and women's shaving cream
3. Select a grocery store chain and compare the prices at stores in two different areas of town.
4. Estimate and compare the average words per sentence in the New York Timesand in a local newspaper.
5. Use secret ballots to survey student preferences for the next president of the United States. On half of the ballots, list the likely Republican candidate first; on the other half, list the likely Democratic candidate first.
6. Go to a local cemetery and and compare the number and size of male and female tombstones.
7. Post a sign on the main entrance to a campus building requesting the use of a less convenient entrance; for example, "Please use the door on the north side of building." From an inconspicuous location, observe how many people ignore the sign and use the main entrance and how many people do not use the main entrance. Compare the behavior of students and professors or males and females. Try to pick a building and time when traffic is light, so that large numbers do not try to enter simultaneously.
8. What fraction of New York Timesobituaries are for New Yorkers? Compare this with the fraction of obituaries in another major newspaper that are for local citizens; for example, Los Angeles Times obituaries for Californians.
Using ANOVA to Compare Several Means1. Estimate and compare the average words per sentence in People, Time, and New Republic.
2. Compare the length of New York Times obituaries with the occupations of the deceased.
3. Compare the length of the descriptions in Who's Who in Americawith the person's occupation.
4. Test whether the length of the descriptions in American Men of Science depends on the person's scientific field.
Chi-square Tests for Categorical Data1. The nine positions on a baseball team can be divided into four categories: pitcher, catcher, the four infielders, and the three outfielders. Collect all the data you can on major league baseball managers and test the null hypothesis that, among those managers who played baseball, the probabilities of having played in these four categories are 1/9, 1/9, 4/9, and 3/9, respectively.
Simple Regression
1. Go to a local grocery store and collect these data for at least 75 breakfast cereals: cereal name; grams of sugar per serving; and the price per ounce (or gram). If the store you select does not have at least 75 breakfast cereals, then collect data from another store too. Use these data to estimate the simple regression model with price as the dependent variable and sugar as the explanatory variable.