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Biostatistics Bios600.001
Second Semester, 20092010
Home Work 3: Introduction to Statistical Inference
Instructions: This problem set consists of one problem.
You’ll be asked to submit your
work in hard copy in the form of responses to the following steps and questions.
Due
Date: 9:30 am
in class on Feb 11, 2010.
Problem 1. Sampling Distributions
Learning Objectives:
Students who successfully complete this exercise will be able to:
•
generate random numbers and appreciate variation among multiple
observations of a random
process;
•
explain the implications of the Central Limit Theorem in determining the
sampling
distribution of the mean of n observations.
Scientific Background:
Your job is to determine the sampling distribution of a mean of N times spent waiting
for a bus in Chapel Hill.
The bus comes every 32 minutes, but you have no idea when
the schedule starts, and it varies randomly from day to day.
Thus, the distribution of
waiting times is realistically close to a “uniform”
⎯
that is, all times between 0 and 32
minutes have equal chance of occurring. In this experiment, you will investigate the
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 Spring '08
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