1. A patient with deep vein thrombosis in his leg comes into the emergency room because the clot in his leg has broken free. To the dismay of the doctor, the clot, which began in the great saphenous vein of the leg, has now lodged in his kidneys. At first, the doctor is baffled as to how that could happen. However, looking at the patient’s medical records, she discovers that the patient has a history of heart problems. Specifically, the patient has suffered from valvular stenosis of the atrioventricular valves, as well as a foramen ovale that did not close completely at birth.
   1. Why was the doctor initially surprised to find the clot in the kidneys? What organ did she expect it to be in? (1 point)

2. Only one of the two heart conditions listed could explain how the clot got to the kidneys. Which one? (1 point)

3. Trace the path of the clot from the great saphenous vein to the interlobar artery of the kidney in detail, naming all the blood vessels/heart chambers along the way. You may find the last section of Chapter 20 helpful here. (7 points)

Molson currently sells 41 different brands of beer in Canada. Labatt currently sells 17 different brands. The manager at Mike's Place needs to choose 5 Molson brands and 5 Labatt brands to sell. How many options do they have? The 10 beers (5 Labatt, 5 Molson) selected in the previous question must be placed in a line on a display shelf so that no two Molson products are adjacent and no two Labatt products are adjacent. How many ways are there to do this? Continuing from the previous question, suppose two of the brands selected by the manager were (Labatt) 50 and (Molson) Export. The display shelf can not have a bottle of 50 adjacent to a bottle of Export. How many ways are there to do this while still avoiding two adjacent Molson products and two adjacent Labatt products? How many of the arrangements from the previous question have the bottle of 50 and the bottle of Export among the first (leftmost) 5 bottles?

Molson currently sells 41 different brands of beer in Canada. Labatt currently sells 17 different brands.

1. The manager at Mike's Place needs to choose 5 Molson brands and 5 Labatt brands to sell. How many options do they have?
2. The 10 beers (5 Labatt, 5 Molson) selected in the previous question must be placed in a line on a display shelf so that no two Molson products are adjacent and no two Labatt products are adjacent. How many ways are there to do this?
3. Continuing from the previous question, suppose two of the brands selected by the manager were (Labatt) 50 and (Molson) Export. The display shelf can not have a bottle of 50 adjacent to a bottle of Export. How many ways are there to do this while still avoiding two adjacent Molson products and two adjacent Labatt products?
4. How many of the arrangements from the previous question have the bottle of 50 and the bottle of Export among the first (leftmost) 5 bottles?

Bar Management

Molson currently sells 41 different brands of beer in Canada. Labatt currently sells 17 different brands.

1. The manager at Mike's Place needs to choose 5 Molson brands and 5 Labatt brands to sell. How many options do they have?
2. The 10 beers (5 Labatt, 5 Molson) selected in the previous question must be placed in a line on a display shelf so that no two Molson products are adjacent and no two Labatt products are adjacent. How many ways are there to do this?
3. Continuing from the previous question, suppose two of the brands selected by the manager were (Labatt) 50 and (Molson) Export. The display shelf can not have a bottle of 50 adjacent to a bottle of Export. How many ways are there to do this while still avoiding two adjacent Molson products and two adjacent Labatt products?
4. How many of the arrangements from the previous question have the bottle of 50 and the bottle of Export among the first (leftmost) 5 bottles?

A scientist is conducting a statistical study on the relationship between the ages versus seat-belt usage. The result is illustrated as the following table.

According to the above two-way contingency table, do we have enough evidence to conclude that ages is not related to seat-belt usage at 10% significance level?

Consider the following two income redistribution proposals. Discuss the issues to be considered when thinking about adopting these proposals from the Utilitarian and Rawlsian viewpoints.

A) The plan ends of taking $5.6 milllion from the highest 10% income households and $400,000 from the lowest 50% income households and ends up giving $5.5 milllion to the remaining households in the economy.

B) The plan takes $7 million from the highest 20% income households and ends up giving $2 million to the lowest 20% households.

The following are quality control data for a manufacturing process at Kensport Chemical Company. The data show the temperature in degrees centigrade at five points in time during a manufacturing cycle.

The company is interested in using control charts to monitor the temperature of its manufacturing process. Compute the upper and lower control limits for the R chart. (Round your answers to three decimal places.)

UCL=___

LCL=___

Construct the R chart.

12

3 4

Compute the upper and lower control limits for the x chart. (Round your answers to three decimal places.)

UCL=___

LCL=___

Construct the x chart.

12

3 4

What conclusions can be made about the quality of the process?

The R chart indicates that the process variability is  in control/out of control .  - No samples fall/One sample falls/Two samples fall/More than two samples fall...outside the R chart control limits. The x chart indicates that the process mean is  in control/out of control .  No samples fall/One sample falls/Two samples fall/More than two samples fall....outside the x chart control limits.

Suppose, in a country, the government decides to start redistributing income from rich households to poor households. The government considers two policy options:

1. Incentivize rich households to donate to the charity of their choosing — for example, the government could match each dollar the household donates to their charity.

2. Enact an income tax on high income households and directly redistribute the tax revenue to poor households.

Considering both efficiency and equity, provide a reason that (a) would be preferable to (b). Provide a reason that (b) would be preferable to (a). Explain.

1. Your company just paid a dividend of $4.0 per share. The company will increase its dividend by 5% next year and will then increase its dividend growth rate by 2% points per year ( from 5% to 7% to 9% to 11%) until it reaches the industry average of 11% dividend growth, after which the company will keep a constant growth rate forever. The required return on your company’s stock is 13.08%. What will a share of stock sell for today? ____(44)_____. What will a share of stock sell for in one year?_____(45)____.