Homework 2
due Friday, April 16
PROBLEMS:
1. A study of young children found that those with more body fat tended
to have more "controlling" mothers; the San Francisco Chronicle
(november 9, 1994) concluded that "Parents of Fat Kids Should Lighten Up."
a) Was this an observational study or a randomized
controlled experiment?
b) Did the study find an association between mother's
behavior and her child's level of body fat?
c) If controlling behavior by the mother causes
children to eat more, would that explain an association between controlling
behavior by the mother and her child's level of body fat?
d) Suppose there is a gene which causes obesity.
Would that explain the association?
e) Can you think of another way to explain the association?
f) Do the data support the Chronicle's advice
on child-rearing?
Discuss each briefly.
2. Can people tell the difference between Coke and Pepsi? Design
an experiment to find out. Explain why your design is a good one.
You should address the issues of a) representativeness, b) bias c) confounding
factors.
WARNING: This is a good problem to discuss in class. Be Prepared!
3. A random sample of income tax returns is used to find 1000 people's
income.
a) Would you expect the median income in this sample
to be about the same as, more than, or less than, the average of this sample?
b) Suppose that next year, everyone in this sample
gets a $1000 raise. How would the median change? How would
the average change? How about the inter-quartile range and the standard
deviation? Explain.
c) Suppose that next year, everyone in our sample
gets a 10% raise. How would this affect the median, average, SD and
inter-quartile range? Explain.
4. On Wednesday night's McNiel News Hour (PBS), an essayist was trying to make the point that public schools in the Silicon Valley were very poor. He said "Only 51% of the students score above the national median on reading scores." Do you find this alarming? Why?
Also, in Chapter 4 (p. 131) do 4.1,4.2, 4.11.