Statistics 3N03 - Assignment #1
2000-09-25
Due: 2000-10-04 17:00
The following problems and data sets are taken from Montgomery &
Runger, Applied Statistics and Probability for Engineers, 2nd
edition. You may use any software you like. Submit your work as a
report, pasting the graphs into a word processor and adding comments
and discussion.
You don't have to type in all the data sets, they are available
online
for Chapters 1-8.
Data from 2-24 (p 42)
Do a stem-and-leaf plot, a time sequence plot, and a
lag-1 scatter plot. Is there evidence of trend or autocorrelation?
2-29 (p 45) [Follow the instructions in the text for
this question.]
2-35 (p 47) [Follow the instructions in the text for
this question.]
What distribution?
- Suppose that 10% of the items coming off a production line are
defective and the items are selected at random, without being
tested, and packed in lots of 100. What theoretical distribution
can be used to describe the number of defective items in a lot?
Plot a graph of this distribution.
Data from 11-66 (question on p 556, data on p 558)
- Use a scatterplot matrix to study relations between the
variables and use histograms to assess normality. Do you think
this is an observational or experimental study? Do any variables
appear to be under the control of the experimenter? (You are not
expected to do any of the other analyses requested in the
question.)
Data from 12-4 (p 579)
- Does firing temperature affect the density of the bricks? Use
comparative box plots. Plot the mean density as a function of
firing temperature. (You are not expected to do any of the other
analyses requested in the question.)
Data from 15-42 (p 812)
- Draw a sequence plot and a lag-1 scatterplot. Is there
evidence of trend or autocorrelation? (You are not expected to do
any of the other analyses requested in the question.)