Question A simple random sample of 5 months of sales data provided the following information: Month: 1 2 3 4 5 Units Sold: 94 80 85 94 92 (a) Develop a point estimate of the population mean number of units sold per month. x = (b) Develop a point estimate of the population standard deviation. If required, round your answer to two decimal places. s =

2 Causal Inference Potpourri A research team wants to estimate the effectiveness of a new veterinary drug for sick seals. They ask aquariums across the country to volunteer their sick seals for the experiment. Since the team offers monetary compensation for volunteering, zoos with less income decide to volunteer their sick seals, whereas zoos with more income are less compelled to volunteer their seals. It turns out that zoos with less income feed their seals less nutritious diets (regardless of whether they are sick or healthy), due to budgetary constraints. Less nutritious diets prevent seals from recovering as effectively. 7 (a) (2 points) Draw a causal graph between variables X, Y, I and N which denote receiving the drug, recovering, the income level of the zoo, and how nutritious a seal's diet is, respectively. Justify each edge in your graph.

Two long straight wires carrying conventional current I are connected by a three-quarter-circular arc of radius R (see the figure). (The rest of the circuit is far enough away that it contributes little magnetic field in this region.) Electric fields are also present in this region, due to charges not shown on the drawing. An electron is moving to the right with speed v as it passes through the center C of the arc, and at that instant the net electric and magnetic force on the electron is zero. Part 3 If the current is 7 A, the radius of the loop is 0.034 m, and the speed of the electron is 6.7 × 105 m/s: (c) What is the magnitude of the magnetic field at the center C, due to the current I? |B⇀|= T Part 4 (d) What is the magnitude of the electric field at the center C? |E⇀|= N/C Radius R 1 C. Electron 14

Please answer Q4 (7) A satellite in geosynchronous orbit 37,000km above the Earth's surface transmits sinusoidal EM waves of frequency 12GHz uniformly in all directions, with a power of 5.0 kW. a) What is the intensity of these waves as they reach a receiver at the surface of the Earth directly below the satellite? b) What are the amplitudes of the electric and magnetic fields at the receiver? c) If the receiver is circular in shape and an absorbing panel measuring 100.0cm in diameter oriented with its plane perpendicular to the direction the waves travel, what average force do these waves exert on the panel? Is this force large enough to cause significant effects? [Note: to quantify significance consider the approximate mass of such a panel in a practical situation] d) What is the force produced by the sun on this same receiver? Assume that the intensity of the sun at the Earth is 1.4 kW/m2. [Total: 15 marks]

The time to deliver packaged containers by a logistics company is found from samples of size 9. The mean and standard deviation of delivery times is estimated to be 168 hours and 18 hours, respectively. a) Calculate the 2o control limits for the average delivery time. b) Calculate the 30 control limits for the average delivery time. c) Based on the 30 control limits, what is the probability of a Type I error? d) If the mean delivery time shifts to 180 hours, what is the chance of detecting the shift on the first sample following the shift? (given the 30 control limits found above) e) Calculate the ARL for a shift of the average deliver time to 180 hours. f) On average, how many samples will be required to detect the change to 180 hours?

Eight point particles with charge q are located at the vertices of a cube with side a as shown in the figure. We will call P the point located in the center of the face of the cube that lies on the plane y = a (see figure). a) Determine the electric field produced at point P by the four charges located at y = a. b) Find the electric field at P produced by the charge located at the origin. c) Calculate the total electric field at point P Р a X

Please do parts B, D, E, H, and I Part 1: The United States and Canada are trade partners. Each country has a zero current account balance and is operating in long-run equilibrium. Assume that inflationary pressure causes the price level in the United States to rise relative to Canada. (a) How will the change in the price level in the United States affect: U.S. demand for Canadian goods and services? net exports of the United States? Explain. (b) Illustrate the impact of the change you identified in part (a) on a fully labeled AD–AS model for the U.S. economy. Use arrows to indicate any changes in AD, real GDP, and price level. (c) Ceteris paribus, will Canada's national income increase, decrease, or remain the same? (d) On side-by-side and fully labeled foreign exchange market graphs, illustrate the impact of the change in relative inflation on supply of the U.S. dollar (USD) and on demand for the Canadian dollar (CAD). Use arrows to indicate the change in the equilibrium exchange rate for each currency. Part 2: Japan and China are trade partners, each with a current account balance of zero. The government of Japan increases taxes for all businesses in Japan. As a result, Japan’s real income falls. (e) On a fully labeled foreign exchange market graph, illustrate the impact of Japan's decrease in real income on the Japanese yen (JPY) with the price in terms of the Chinese renminbi (RMB). (f) Based on your response to part (e), has the Chinese renminbi appreciated or depreciated? (g) Assume the new exchange rate is 20 yen per 1 renminbi. Calculate the price of yen in terms of renminbi. Part 3: Respond succinctly and precisely to each of the following scenarios. Hint: these are beginning with a currency value change; start from there, and do not consider what caused the change. (h) The European Union and Brazil are trade partners. Brazil's currency, the real, appreciates relative to the European Union's euro. Ceteris paribus, how will this change affect: Brazil's net exports? Explain. the capital and financial account of Brazil?