Can I please get this in 40mins.

1. (10 pts.) What are the advantages to paired design? 2. (40 pts.) Regulators have barred genetically modified foods from their country's market. A recent sample of 1175 people found that 629 people thought that genetically modified foods should be barred. a. Should the regulators conclude that more than half of the country's population support their position at the 1% significance level? b. What type of error is possible with your conclusion? 3. (20 pts.) You are looking for a linear relationship between age and systolic blood pressure. After drawing your sample, measuring age in years and systolic blood pressure in mm HG, you obtain the following information: y = 79.733 + 1.724 x r = .908 12 =.734 a. Explain the meaning of the slope in terms of this problem. b. What does the coefficient of determination tell us in this problem? 4. (35 pts.) The Tiptop shoe company claims that the average yearly salary of its workers is $47,800. The union believes the average salary is much less. A random sample of 64 employees shows their average salary to be $47,000 with standard deviation of $800. Using a 5% significance level, does the sample support the union? 5. (20 pts.) A research group reported that the mean concentration of chemical in the air is 3.4 + 0.6 parts per billion by volume. a. Does this report indicate that the true mean could be 3.1? Why? b. What is the range of values in this confidence interval for the mean concentration of acetylene in the air