Take Home Quiz # 3Advanced Statistics

1. A survey was conducted in Indiana, Kentucky, and Ohio to determine the attitude of voters concerning school busing. A poll of 200 voters from each of these states yielded the following results:

At the 0.05 level of significance, test the null hypothesis that the proportions of voters within each attitude category are the same for each of the three states.

2. In an experiment to study the dependence of hypertension on smoking habits, the following data were taken on 180 individuals:

Test the hypothesis that the presence or absence of hypertension is independent of smoking habits. Use a 0.05 level of significance.

3. Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are being compared in an air-pollution experiment. Researchers wish to determine whether the two types of instruments yield measurements having the same variability. The readings in the following table were recorded for the two instruments

Assuming the populations of measurements to be approximately normally distributed, test the hypothesis that σA = σB against the alternative that σA ≠ σB.

4. A study of the amount of rainfall and the quantity of air pollution removed produced the following.

(a) Find the equation of the regression line to predict the particulate removed from the amount of daily rainfall.(b) Estimate the amount of particulate removed when the daily rainfall is x = 4.8 units.