- From text (3rd ed in parentheses): Chapter 9, Q 59(58),
60(59), 66(62), 70(66), 74(71), 75(72).
- In 1879, over the period from June 5 to July 2, Michelson
carried out a number of measurements of the speed of
light. The first 20 measurements and last 20
measurements (minus 299000 km/sec) and several summary
statistics are recorded below.
Has the bias of the measurements changed between the
first 20 and the last 20?
- Annual records were kept in the Prussian army for the
number of deaths by horsekick.
- Use a Poisson model and obtain a 95% confidence
interval for the long run average mean number of
deaths per year.
- Develop a test of the hypothesis that there has been
no change in this underlying death rate over the time
period in question as follows. Let N be the number
of deaths in the first 10 years and M the number in
the second 10 years. If the Poisson model with
constant death rate is credible then M and N have the
same mean. What is the standard error of N-M in
terms of the Poisson parameter? How can you estimate
this standard error? How can you use this to test
the hypothesis that there is no change in mean?
DUE: Wednesday, 28 January
Tue Dec 2 23:10:32 PST 1997