1. If the reserve requirement (rr) is 0.2, what is the simple deposit multiplier? If, in addition, the currency deposit ratio (c) is 0.05 and the excess reserve ratio (e) is 0.15, what is the money multiplier? Explain why the money multiplier differs from the simple deposit multiplier.

You have a protein of an unknown concentration but you know that the range is 0.2 mg/mL to 2 mg/mL. You know that typically amounts around 10 µg give a good result on an SDS-PAGE gel. You have 9 wells (1 ladder and 9 others). Using 5 wells, how would you design an experiment to look at the effect of amount of protein loaded on the band appearance on the gel? Remember that you are mixing 10 µL of sample buffer with 30 µL of protein sample. You will need to make 5 different dilutions of the original protein solution. How will you do that?

In class, we learned that ”most” of the sun’s radiation happens in the band 0.2 ? ? ? 3µm, and Stephen asked what ”most” means. What proportion of solar radiation (for a black body sun) falls in the above wavelength range. Similarly, what proportion of the Earth’s radiation (black body Earth at 290K) occurs in the wavelength band 4 ? ? ? 40µm? What wavelength range contains the middle 95% of the sun’s radiation?

Two materials, one with ε1 = 0.9 and the other with ε2 = 0.2 are available to use as filaments (light sources) for an incandescent lamp. Material 1 can be maintained at 2800 K, whereas material 2 can be maintained at 3000 K. Calculate the rate at which radiant energy is emitted per unit surface area (Watts/m2 ) from each of the two materials in the spectrum 0.4µm < λ< 0.8µm. Which material emits energy at the highest rate in this spectrum (assuming same surface area for both materials)?

A bolt manufacturer wants to investigate the machine that produces bolts with a diameter of 0.2 centimeters. If the variance of the diameters is equal to 0.025, then the machine is working as expected. A random sample of 11 bolts has a standard deviation of 0.18. Does the manufacturer have evidence at the α=0.05 level that the variance of the bolt diameters is more than required? Assume the population is normally distributed. Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.

Step 3 of 5: Determine the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5: Reject or fail to reject null hypothesis?

Step 5 of 5: What is the conclusion? Is there sufficient evidence or not enough sufficient evidence?

Suppose a health expenditure function is specified in the following manner: ? = 500 + 0.2?, where E represents annual health care expenditures per capita and Y stands for income per capita.

A. Graph the health care expenditure function.

B. What is the implication of the y-intercept? (provide the economic intuition not the mathematical definition)

C. Using the slope of the health expenditure function, predict the change in per capita health care expenditures that would result from a $1,000 increase in per capita income.

D. Assume the fixed amount of health care spending decreases to $250. Graph the new and original health functions on the same graph. What is the relation between the original and new health care expenditure functions?

E. Now assume that the fixed amount of health care spending remains at $500 but the slope parameter on income decreases to 0.1. Graph both the original and new health care expenditure functions. Explain the relation between the two lines.

the probability that a worker with occupational exposure to dust contracts a lung disease is 0.2. three such workers are checked at random. find the probability that

a. none of the three workers contracted a lung disease.

b. at least one of them contracted a lung disease

A process manufacturing resistors whose specifications are 1 kΩ ± 0.2 kΩ. The resistance of these parts is known to follow a normal distribution with a mean of 1.03 kΩ and a standard deviation of 0.08 kΩ.

to. What is the probability that a randomly selected resistance does not meet the specifications?

b. If 10 resistors are selected at random, what is the probability that there will be at least 1 out of specification?

c. If 16 resistors are selected at random, what is the probability that the average of the 16 resistors is less than 1.05 kΩ?

d. If 99.73% is desired to be within specifications, by how much will the standard deviation need to be reduced?