STT 351-001 and 351-002
Assignment due in class Wednesday 10-31-07
This assignment covers bootstrap confidence intervals. You will
need to work with Little Software2 in a university lab.
1. For the data of problem 66, Chapter 1,
a. Enter
flow = {4.6, 12.3, ..... , 8.2, 6.3}.
Remember to use shift + enter. There are 129 data values.
b. Enter
ci[flow, 1.96],
which will give you the usual 95% z-based ci for the population
mean of flow rate for houses in Perth.
c. Compare (b) with the bootstrap confidence interval
bootci[mean, flow, 10000, 0.95].
d. Plot a kernel density estimate for the population density
of flow rates in Perth (e..g. smooth[flow, 0.8]). What you do is try
to find the smallest bandwidth (finest resolution) that seems to hold
up when applied to a with replacement sample of 129 from flow.
For example, try a bandwidth such as 0.8. Then check whether
this bandwidth gives about the same picture when a...
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