1.The region of Halton did a study on the amount of garbage people dispose from their households. The data collected contained information on the size of the household, and the weights in pounds of metal, paper, plastic, glass, food, yard, and textile garbage collected in one week. The data set consisted of a random sample of 62 households. It turned out that mean value for total garbage discarded by a household each week was 30.4 pounds with a standard deviation of 12.5 pounds. At the 0.01 level of significance test the claim that the mean weight of total garbage discarded by a household each week is less than 35.0 pounds; the amount that can be handled by the region. Use the step-by-step hypothesis testing procedure.
2.A random sample of eight applied computing classes at the Davis campus had a mean enrollment of 31.5 students per class with a standard deviation of 9.6 students per class. A random sample of twelve applied computing classes at the Trafalgar campus had a mean enrollment of 28.1 students per class with a standard deviation of 7.5 students per class. Construct a 90% confidence interval for the true difference in mean enrollment per class between the Davis campus and the Trafalgar campus.