2 Each day, the United States CustomsService has historically intercepted about $28 Million in contraband goodsbeing smuggled into the country with a standard deviation of $16 Million perday.  On 64 randomly chosen days in 2002,the U.S. Customs Service intercepted an average of $30.3 Million in contrabandgoods.  Does the sample indicate (at a 5%level of significance), that the Customs Commission should be concerned thatsmuggling has increased above its historic level?

3. In January of 2008, asurvey of 150 macroeconomists found 89 who believed that the recession hadalready begun.  A survey of 120purchasing agents found 87 who believed the recession had begun..  At the 90% confidence level, can one concludethat the purchasing agents were more pessimistic about the economy than themacroeconomists were?

What is the p value?  What can you imply about Ho from this value?

6. The following sample data show theaverage annual yield of wheat in bushels per acre in a given county and theannual rainfall in inches.

a. Determine the regression equation fromwhich we can predict the yield of wheat in the county given the rainfall.  Narrate your equation in a sentence or two.

b. Use the regression equation obtained in(a) to predict the average yield of wheat when the rainfall is 9 inches.

c. Plot the scatter diagram of raw data andthe regression line for the equation.

d. What percentage of the total variationof wheat yield is accounted for by differences in rainfall.

e. Calculate the correlation coefficientfor this regression.