In a study of water quality in different U.S. areas, researchers collected 100 water samples in each of four areas: west, midwest, south, and northeast. Each water sample was measured for three characteristics: acidity, color, and amount of sediment. Let denote the response for the characteristic of the water sample in the area. (4pts) For each pair of responses below, indicate whether or not they would be independent or correlated under the MANOVA model.i.   and ii. and (2pts) If the initial MANOVA test for this situation is found to be significant, what follow-up procedure would be appropriate to consider?

Functionalism often talks about equilibrium or balance. If one thing in society is not fulfilling its role- then other things need to change as well. 

Homelessness could be caused by

A long, straight wire carries a current of I = 6.2 A to the left as shown below. What is the magnitude of the magnetic field created by this wire at point P which is 26 cm away from the wire as shown?

(a) What is ‘functionalism,’ as we studied it in this part of the course, and how does the first philosopher we read on this subject defend functionalism?  (b) Why does the second philosopher we read on the subject believe that functionalism, so defined, is false?

Acme Company manufactures and sells a single product. The selling price is $800 per unit. In its first year of operations (Year 1), Acme produces 2,500 units and sells 2,000 units. In Year 2, Acme produces 2,000 units and sells 2,500 units. Acme’s per-unit variable manufacturing costs are as follows: direct materials $320, direct labor $160, and variable manufacturing overhead $52. Acme’s total fixed manufacturing overhead costs are $300,000 in each year. Using absorption costing, what is the cost of goods sold in Year 2?

Acme Company has two divisions, North Division and South Division. In Year 6, the South Division reports a return on investment of 14% and sales of $650,000. In Year 7, the South Division reports a return on investment of 18%, operating income of $92,600, and a turnover of 1.20. The South Division’s margin in Year 7 is 80% of its margin in Year 6. What is the South Division’s operating income in Year 6?

The concept of a particular object figures in very different ways in the two purely metaphysical controversies that we studied: (a) one presented by Bertrand Russell, (b) the other by David Lewis.  Name each controversy, and then explain each by focusing on how it approaches the concept of a particular object.  What exactly is the “problem” under study?  How does it generate a debate between opposing positions?

A hollow copper wire with an inner diameter of 1.2 mm and an outer diameter of 3.2 mm carries a current of 19 A. What is the current density in the wire?

Which of the following is not one of the three core assumptions underlying monopoly theory? Examples of monopolies include public utilities (such as local electricity, water, and gas companies) and the U.S. Postal Service.