The S&P 500 stock price closed at $98, $103, $107, $102, $111 over five successive weeks. What is the weekly standard deviation of the stock price? What is the weekly standard deviation of the returns assuming no dividend were paid?

the right answer are $4.97, 5.71%

please show me the steps.

Sal Amato operates a residential landscaping business in an affluent suburb of St. Louis. In an effort to provide quality service, he has concentrated solely on the design and installation of upscale landscaping plans (e.g., trees, shrubs, fountains, and lighting). With his clients continually requesting additional services, Sal recently expanded into lawn maintenance, including fertilization.

The following data relate to his first year’s experience with 56 fertilization clients:

Each client required six applications throughout the year and was billed $41.00 per application.

Two applications involved Type I fertilizer, which contains a special ingredient for weed control. The remaining four applications involved Type II fertilizer.

Sal purchased 5,700 pounds of Type I fertilizer at $0.60 per pound and 10,700 pounds of Type II fertilizer at $0.47 per pound. Actual usage amounted to 4,000 pounds of Type I and 8,150 pounds of Type II.

A new, part-time employee was hired to spread the fertilizer. Sal had to pay premium wages of $12.20 per hour because of a very tight labor market; the employee logged a total of 179 hours at client residences.

Based on previous knowledge of the operation, articles in trade journals, and conversations with other landscapers, Sal established the following standards:

Fertilizer purchase price per pound: Type I, $0.57; Type II, $0.49

Fertilizer usage: 47 pounds per application

Typical hourly wage rate of landscape personnel: $9.70

Labor time per application: 40 minutes

The operation did not go as smoothly as planned, with customer complaints actually much higher than expected.

Required:

1. Compute Sal’s direct-material variances for each type of fertilizer.(Indicate the effect of each variance by selecting "Favorable" or "Unfavorable". Select "None" and enter "0" for no effect (i.e., zero variance). Round your intermediate calculations and final answers to 2 decimal places.)

	Direct-Material Type I Type II Price variance Quantity variance Purchase price variance

2. Compute the direct-labor variances.(Indicate the effect of each variance by selecting "Favorable" or "Unfavorable". Select "None" and enter "0" for no effect (i.e., zero variance). Do not round intermediate calculations and round your final answer to 2 decimal places.)

	Direct-Labor Rate variance Efficiency variance

3-a. Compute the actual cost of the client applications. (Note: Exclude any fertilizer in inventory, as remaining fertilizer can be used next year.)(Do not round intermediate calculations. Round your answer to 2 decimal places.)

3-b. Calculate the profit or loss of Sal’s new lawn fertilization service.(Do not round intermediate calculations. Round your answer to 2 decimal places.)

4. On the basis of the variances that you computed in parts (1) and (2) was the new service a success from an overall cost-control perspective?

(Indicate the effect of each variance by selecting "Favorable" or "Unfavorable". Select "None" and enter "0" for no effect (i.e., zero variance). Do not round intermediate calculations. Round your answer to 2 decimal places.

5. Should the fertilizer service be continued next year?(yes or no)

USE R, SHOW R CODE AND OUTPUT

APPLIED STATISTICS 2

3. Are Angry People More Likely to have Heart Disease’? People who get angry easily tend to be more likely to have heart disease. That is the conclusion of a study that followed a random sample of 12,986 people from three locations over about four years. All subjects were free of heart disease at the beginning of the study. The subjects took the Spielberger Trait Anger Scale, which measures how prone a person is to sudden anger. The 8474 people in the sample who had normal blood pressure were classified according to whether they had “coronary heart disease” (CHD) or not and whether they had low anger, moderate anger, or high anger according to the Anger Scale.  The classification summary is given.

	Low Anger	Moderate Anger	High Anger
	53	110	27
No CHD	3057	4621	606

                Use R to conduct a test to see whether we can conclude at α=0.05, that angry

                people are more likely to have heart disease.

USE R

What are the key challenges in Software Defined Networks (SDN). How will you migrate from a traditional network to an SDN based network?

Neon Corporation’s stock returns have a covariance with the market portfolio of .0455. The standard deviation of the returns on the market portfolio is 20 percent, and the expected market risk premium is 7.9 percent. The company has bonds outstanding with a total market value of $55.04 million and a yield to maturity of 6.9 percent. The company also has 4.54 million shares of common stock outstanding, each selling for $24. The company’s CEO considers the current debt–equity ratio optimal. The corporate tax rate is 40 percent, and Treasury bills currently yield 3.8 percent. The company is considering the purchase of additional equipment that would cost $42.04 million. The expected unlevered cash flows from the equipment are $11.84 million per year for five years. Purchasing the equipment will not change the risk level of the company.

  

Calculate the NPV of the project.

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 4639 4639 miles, with a standard deviation of 437 437 miles. If he is correct, what is the probability that the mean of a sample of 32 32 cars would differ from the population mean by less than 181 181 miles? Round your answer to four decimal places.

Describe an example of a problem that could be solved using the Coase theorem. Do this by defining a hypothetical situation where one individual is causing a negative externality on another individual. Describe whether it matters who holds property rights. Define the three necessary conditions for Coase theorem to work completely. Describe why a failure of these conditions will likely cause Coasian bargaining to fail.

Gelbart Company manufactures gas grills. Fixed costs amount to $25,428,000 per year. Variable costs per gas grill are $350, and the average price per gas grill is $1,000.

1. How many gas grills must Gelbart Company sell to break even?

___ gas grills

2. If Gelbart Company sells 42,235 gas grills in a year, what is the operating income?
$__

3. If Gelbart Company’s variable costs increase to $370 per grill while the price and fixed costs remain unchanged, what is the new break-even point? If required, round your answer to the nearest whole number.
___ gas grills

A personal trainer is interested in the typical physical activity of her clients. She asked a sample of her customers how many hours of exercise they get each week, and recorded the data below. Describe her findings using everything you've learned about measures of central tendency, measures of variability, and describe the shape of the distribution

х= 2, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8

[The following information applies to the questions displayed below.]


Falcon Crest Aces (FCA), Inc., is considering the purchase of a small plane to use in its wing-walking demonstrations and aerial tour business. Various information about the proposed investment follows:     

Initial investment	$	260,000
Useful life	$	10	years
Salvage value		25,000
Annual net income generated	$	5,800
FCA's cost of capital		7	%

Assume straight line depreciation method is used.

3. Net present value (NPV). (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Negative amount should be indicated by a minus sign. Round the final answer to nearest whole dollar.)

4. Recalculate FCA's NPV assuming the cost of capital is 3% percent. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Round your final answer to the nearest whole dollar amount.)

1. A study released by the governor’s office stated that 60% of the state residents support a higher penalty for driving under influence. John thinks the number is low, so he decided to conduct his own survey. He interviews 100 people and find that 75% support a higher penalty for driving under influence. Identify the following: (1pt each)

- Sample:

- Population:

- Statistic:

- Parameter:

2. A bag contains 5 colored marbles, 3 red and 2 blue. You want to pick three marbles, one at a time from the bag. The sample space of this experiment is as followed:

S = {RRR, RRB, RBR, BRR, BBR, BRB, RBB}

We define the following event:

A – No pick is red

B – Exactly two picks are Red.

C – The second is Blue.

D – Exactly two Blue.

a. Is A and B disjoint or non-disjoint? (2pts)

b. Is C and D disjoint or non-disjoint? (2pts)

3. A carnival game has bag that contains four different colored balls. There are four blue balls, three red balls, two orange balls, and one purple ball. You pay $5 to reach in and grab one colored ball from the bag. If you pick a blue ball you win $10, if you pick a red ball you win $20, if you pick an orange ball you win $50, and if you pick a purple ball you win $100. What is your expected gain if you play this game? (3pts)

Give an example of a competing priority when the good of society is favored over the good of an individual. Is there a case / example of an instance when the good of the individual is more important than the good of the public? Be specific.

do you feel that we have a good system with all different kinds of currency around the world? What do you feel is the biggest hold-up to one international currency used by everyone?

Linear algebra Thank you.

Extra Credit (No partial credit - 1%): It is often useful to perform a change of basis to examine an object from a different perspective. In the process of a larger work the conic  work the conic 3 x square − 10 x y + 3 y square + 16 x root 2 − 32 = 0 needs to be identified; this can be accomplished by a rotation. Identify the given conic and give its equation in standard form.

(1 point) Fireworks. Last summer, Survey USA published results of a survey stating that 301 of 538 randomly sampled Kansas residents planned to set off fireworks on July 4th. Round all results to 4 decimal places.

1. Calculate the point estimate for the proportion of Kansas residents that planned to set off fireworks on July 4th

2. Calculate the standard error for the point estimate you calculated in part 1.

3. Calculate the margin of error for a 99 % confidence interval for the proportion of Kansas residents that planned to set off fireworks on July 4th.

4. What are the lower and upper limits for the 99 % confidence interval. ( , )

5. Use the information from Survey USA poll to determine the sample size needed to construct a 99% confidence interval with a margin of error of no more than 2.7%. For consistency, use the reported sample proportion for the planning value of p* (rounded to 4 decimal places) and round your Z-value to 3 decimal places. Your answer should be an integer.