Refer to the Chance (Fall 2002) study of a patent infringement case brought against Intel Corp., Exercise

Question:

Refer to the Chance (Fall 2002) study of a patent infringement case brought against Intel Corp., Exercise 7.44. Recall that the case rested on whether a patent witness’s signature was written on top of key text in a patent notebook or under the key text. Using an X-ray beam, zinc measurements were taken at several spots on the notebook page. The zinc measurements for three notebook locations—on a text line, on a witness line, and on the intersection of the witness and text line—are reproduced in the table.

a. Why might the Student’s T procedure you applied in Exercise 7.44 be inappropriate for analyzing this data?

b. Use a nonparametric test (at α = .05) to compare the distribution of zinc measurements for the text line with the distribution for the intersection.

c. Use a nonparametric test (at α = .05) to compare the distribution of zinc measurements for the witness line with the distribution for the intersection.

d. From the results, parts b and c, what can you infer about the mean zinc measurements at the three notebook locations?

Data from Exercise 7.44

In Kenya, human-induced land-use changes and excessive resource extraction has threatened the jungle ecosystem by reducing animal grazing areas and disrupting access to water sources. In Landscape & Ecology Engineering (Jan. 2013), researchers compared hippopotamus grazing patterns in two Kenyan areas — a national reserve and a community pastoral ranch. Each area was subdivided into plots of land. The plots were sampled (406 plots in the national reserve and 230 plots in the pastoral ranch) and the number of hippo trails from a water source was determined for each plot. Sample statistics are provided in the table. The researchers concluded that the mean number of hippo trails was higher in the national reserve than in the pastoral ranch.