Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 37% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 5%.

Calculate the utility levels of each portfolio for an investor with A = 2. Assume the utility function is U = E(r) − 0.5 × Aσ². (Do not round intermediate calculations. Round your answers to 4 decimal places.)

Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 24% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 3%.

Calculate the utility levels of each portfolio for an investor with A = 2. Assume the utility function is U = E(r) − 0.5 × Aσ². (Do not round intermediate calculations. Round your answers to 4 decimal places.)

Two frictionless “hoverpucks” (puck 1 and puck 2) with mass 0.20 kg are travelling on a collision course with a third hoverpuck which is at rest and has mass 0.40 kg. Before they collide, puck 1 has velocity (1.0 m/s) î – (1.0 m/s) ĵ. After the collision they all stick together and have velocity (2.0 m/s) î + (0.5 m/s) ĵ. Friction is negligible.

a) What is the velocity of puck 2 before the collision?

b) What is the total impulse on puck 1 during the collision?

c) If the duration of the collision was 0.15 s what was the average force exerted by puck 3 on puck 1?

d) How much kinetic energy is gained or lost by the three-puck system?

200 MMscfd natural gas that contains 20vol% CO2 and no H2S is to be transported 60 miles through pipelines to a natural gas liquefaction plant where gas sweetening and dehydration will take place. Suggest:

Minimum specifications for the gas as it enters the pipeline.

Suitable processing sequence for the field facility.

A plane is flying horizontally at an altitude of 2 mi and a speed of 500 mph passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 3 miles away from the station. Round the final answer to three decimal places

Hi, I'm currently writing a Matlab program to simulate the Apollo 11 trajectory. Now I want to plot a 3D animated orbit which is a 60 by 58 nautical miles orbit. Can you provide a code or some idea of how to plot an orbit like this in 3D?

Problem: Design a web page to provide a metric conversion guide for college students. Provide the capability to convert the following (both ways):

Miles to kilometers (distance)

Gallons to liters (volume)

Pounds to kilograms (weight)

Fahrenheit to Celsius (temperature)

must have a separate PHP and HTML page

A.

Do you expect an echo to return to you more quickly or less quickly on a hot day, as compared to a cold day?

1. more quickly on a hot day

2. equal times on both days

3. more quickly on a cold day

B.

If you fill your lungs with helium and then try talking, you sound like Donald Duck. What conclusion can you reach about the speed of sound in helium?

1. speed of sound is less in helium

2. speed of sound is the same in helium

3. speed of sound is greater in helium

4. this effect has nothing to do with the speed in helium

C.

You hear a fire truck with a certain intensity, and you are about 1 mile away. Another person hears the same fire truck with an intensity about 10 times less. Roughly, how far is the other person from the fire truck?

1. about the same distance

2. about 3 miles

3. about 10 miles

4. about 30 miles

5. about 100 miles

D.When Minnie talks, she creates a sound level of 60 dB at your location. Mickey talks with the same volume, also giving 60 dB at your location. If both Minnie and Mickey talk simultaneously from the same spot, what would be the new sound level that you hear? (±0.1 dB)

E.Consider an idealized model with a bird emitting constant sound power, with intensity inversely proportional to the square of the distance from the bird. How many decibels does the sound level drop when you move 2.6 times as far away from the bird?

F.

You have a long pipe and a short pipe. Which one has the higher frequency?

1. the long pipe

2. the short pipe

3. both have the same frequency

You blow into an open pipe and produce a tone. What happens to the frequency of the tone if you close the end of the pipe and blow into it again?

1. depends on the speed of sound in the pipe

2. you hear a higher frequency

3. you hear the same frequency

4. you hear a lower frequency

Cincinnati Paint Company sells quality brands of paints through hardware stores throughout the United States. The company maintains a large sales force who call on existing customers and look for new business. The national sales manager is investigating the relationship between the number of sales calls made and the miles driven by the sales representative. Also, do the sales representatives who drive the most miles and make the most calls necessarily earn the most in sales commissions? To investigate, the vice president of sales selected a sample of 25 sales representatives and determined:

• The amount earned in commissions last month (y)
• The number of miles driven last month (x₁)
• The number of sales calls made last month (x₂)

The information is reported below.

  Click here for the Excel Data File

Develop a regression equation including an interaction term. (Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

Complete the following table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

Compute the value of the test statistic corresponding to the interaction term. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

At the 0.05 significance level is there a significant interaction between the number of sales calls and the miles driven?

1) Researchers wish to test the efficacy of a program intended to reduce the length of labor in childbirth. The accepted mean labor time in the birth of a first child is 15.3 hours. The mean length of the labors of 13 firsttime mothers in a pilot program was 8.8 hours with standard deviation 3.1 hours. Assuming a normal distribution of times of labor, test at the 10% level of significance test whether the mean labor time for all women following this program is less than 15.3 hours.

2) Six coins of the same type are discovered at an archaeological site. If their weights on average are significantly different from 5.25 grams then it can be assumed that their provenance is not the site itself. The coins are weighed and have mean 4.73 g with sample standard deviation 0.18 g. Perform the relevant test at the 0.1% (1/10th of 1%) level of significance, assuming a normal distribution of weights of all such coins.

3) An economist wishes to determine whether people are driving less than in the past. In one region of the country the number of miles driven per household per year in the past was 18.59 thousand miles. A sample of 15 households produced a sample mean of 16.23 thousand miles for the last year, with sample standard deviation 4.06 thousand miles. Assuming a normal distribution of household driving distances per year, perform the relevant test at the 5% level of significance.

4) The average number of days to complete recovery from a particular type of knee operation is 123.7 days. From his experience a physician suspects that use of a topical pain medication might be lengthening the recovery time. He randomly selects the records of seven knee surgery patients who used the topical medication. The times to total recovery were:

128,135,131,142,136,151,133.

a) Assuming a normal distribution of recovery times, perform the recovery test of hypotheses at the 10% level of significance.

b) Would the decision be same at the 5% level of significance? Answer either by constructing a new rejection region (critical value approach) or by estimating the p-value of the test in part(a) and comparing it.