Calculate the standard deviation of the following returns. Year Return 1 0.23 2 -0.08 3 0.03 4 -0.09 5 0.17 Enter the answer with 4 decimals, e.g. 0.1234.

Calculate the variance of the following returns.

Year Return

1 -0.2

2 -0.08

3   -0.08

4   0.19

5 0.21

Enter the answer with 4 decimals, e.g. 0.1234.

Assume that the per-worker production function is y_t = 10∙k_t^1/2. Further, assume that the saving rate, s = 0.2, the depreciation rate, ?=0.4, and the population growth rate, n= 0. Calculate the following:

The steady-state values of the capital-labor ratio, k* , output per worker, y*, investment and saving per worker, i* and s*, and , and consumption, c*.

Assume that the per-worker production function is y_t = 5∙k_t^1/2. Further, assume that the saving rate, s = 0.2, the depreciation rate, ?=0.04, and the population growth rate, n= 0. Calculate the following:

The steady-state values of the capital-labor ratio, k* , output per worker, y*, investment and saving per worker, i* and s*, and , and consumption, c*.

Country Alphaduck Country Bisonville MPL of duck feathers 20 10

MPL of wood 4 1

Which of the following is true for the table above?

The international relative price of wood is between 5 and 10.

Country Alphaduck has the comparative advantage in duck feathers

The international relative price of wood is between 0.1 and 0.2.

Country Bisonville has the absolute advantage in wood

The thickness, t, (mm) was recorded versus absorption, A, (c/s), and the results are shown in the following table. thickness ,t, mm Absorption ,A, c/s 0.2 5500 5 3720 10 2550 20 1320 27.5 720 32.5 480 1) Plot the data on the graph paper. 2) Find the equation that best fits the relationship between thickness and absorption.

rony wants to estimate the percentage of all aub students who study only a week before their exams. he has decided to obtain an 85% Confidence interval for the proportion of the undedicated students. he will ask a random sample of n aub students about their studying habits. if he wishes to obtain a CI with a precision width of 0.2, how large should the sample be?  

A car and the suspension system are a damped spring, mass system, with a natural frequency 2 Hz and a damping coefficient 0.2. The car drives at speed V over a road with sinusoidal roughness. The roughness wavelength is 20 m, with a amplitude of 50 cm. What speed does the maximum amplitude of vibration occur? What is the corresponding vibration amplitude?

Please do not use an older solution.

Part A: Define actual and theoretical mechanical advantage, using words as well as equations.

Part B: What law of physics forbids the efficiency of an actual machine from being equal to 1? (100% efficiency)

Part C: What is the efficiency of a wooden ramp (μ =0.2) at an angle of 39 degrees?

Part D: Is a screw an example of a wheel and axle, lever, or inclined plane?

10. The number of research articles in a prominent journal written by researchers during 1983-2003 can be approximated by ?(?) = 4.1?^0.6? /0.2+?^0.6? thousand articles per year (0 ≤ ? ≤ 20) where ?time in years is (? = 0 represents 1983). Assuming there were 0 articles prior to 1983, find an expression for the total number of articles (in thousands) written since 1983.

A marketing analyst for a company which distributes decaffeinated coffee claims that the proportion of coffee drinkers who drink just decaffeinated coffee is greater than 0.2. A random sample of 1000 coffee drinkers contained 190 that drink just decaffeinated coffee. Does this sample provide sufficient evidence to refute the company’s claim? Use the p-value approach and level of significance 0.10.