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.)

Statistics 3N03