1. Before installing a high-tech laser exhibit near the exit area, a museum of American technology found the average contribution by patrons was $2.75 per per- son. For a sample of 30 patrons following installation of the new exhibit, the contributions are as listed in data file XR10108. Based on the sample data, and using the 0.025 level of significance, can we conclude that the new exhibit has increased the average contribution of exhibit patrons? Identify and interpret the p-value for the test.
2. According to the U.S. Department of Justice, 25% of violent crimes involve the use of a weapon. We will assume that data file XR10109 contains a sample of the crime information for a given city, with data for the 400 crimes coded as 1 5 crime involved a weapon and 2 5 crime did not involve a weapon. Using the 0.05 level in a two-tail test, was the percentage of violent crimes involv- ing a weapon in this city significantly different from the 25% in the nation as a whole? Identify and interpret the p-value for the test. Source: Bureau of the Census, Statistical Abstract of the United States 2009, p. 194.