Consider the following hypothesis test.

H₀: σ₁² = σ₂²

H_a: σ₁² ≠ σ₂²

(a)

What is your conclusion if

n₁ = 21,

s₁² = 2.2,

n₂ = 26,

and

s₂² = 1.0?

Use

α = 0.05

and the p-value approach.

Find the value of the test statistic.

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. We cannot conclude that σ₁² ≠ σ₂².Do not reject H₀. We cannot conclude that σ₁² ≠ σ₂².    Reject H₀. We can conclude that σ₁² ≠ σ₂².Do not reject H₀. We can conclude that σ₁² ≠ σ₂².

(b)

Repeat the test using the critical value approach.

Find the value of the test statistic.

State the critical values for the rejection rule. (Round your answers to two decimal places. If you are only using one tail, enter NONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

Reject H₀. We cannot conclude that σ₁² ≠ σ₂².Do not reject H₀. We cannot conclude that σ₁² ≠ σ₂².    Reject H₀. We can conclude that σ₁² ≠ σ₂².Do not reject H₀. We can conclude that σ₁² ≠ σ₂².

Assume you have just been hired as a business manager of Pizza Palace, a regional pizza restaurant chain. The company’s EBIT was $50million last year and is not expected to grow. The firm is currently financed with all equity,and it has 10million shares outstanding.When you took your corporate finance course,your instructor stated that most firms ’owners would be financially better off if the firms used some debt. When you suggested this to your new boss, he encouraged you to pursue the idea. As a first step, assume that you obtained from the firm’s investment banker the following estimated costs of debt for the firm at different capital structures: PERCENT FINANCED WITH DEBT, Wd rd 0% - 20 8.0% 30 8.5 40 10.0 50 12.0 If the company were to recapitalize, then debt would be issued and the funds received would be used to repurchase stock. PizzaPalace is in the 40% state-plus-federal corprate tax bracket, its beta is 1.0, the risk free rate is 6%, and the market risk premium is 6%. .Using the free cash flow valuation model, show the only avenues by which capital structure can affect value.

1.

A) Calculate the wavelength of maximum energy emission and the total energy emitted each of the following objects: a) A tree, with a surface temperature of 18 oC and an emissivity 0.98 (2); b) A lake, with a surface temperature of 10 oC and an emissivity of 0.98(2).

B) Calculate the surface temperature of the following objects with a wavelength of maximum energy emission of: a) 10 micrometers(1); b) 500 nanometers (1).

C) Calculate the surface temperature of the following objects (assume both have an emissivity of 1.0): a) 200 W m-2 (1); b) 400 W m-2 (1).

D) If you have 1000 W m-2 of incident solar radiation perpendicular to a surface, calculate the solar radiation you would have at zenith angles of; a) 45o (1); b) 60o (1).

E) Most aquatic algae require a minimum of 25% of the solar radiation at the top of the water’s surface for photosynthesis. If the water’s extinction coefficient is 0.5 m-1, what is the maximum depth you could expect algal growth? (2)

F) Twelve percent of the solar radiation reaches the forest floor. The extinction coefficient is 0.4 m-1. What is the leaf area index of the forest? (2)

Roten Manufacturing Company is considering an investment on a machine for producing auto parts. The machine costs $250,000 today, will have a five-year life and will be depreciated over a five-year life on a straight-line basis toward a zero salvage value. The company paid a consulting company $7,000 last year to help them decide whether there is a sufficient demand for the auto parts. In addition to the investment on the machine, the company also invests $15,000 in net working capital but decides NOT to recoup the net working capital at the end of the fifth year. The company has estimated the performance of the new machine and believes the following are good estimates of the new asset: sales $140,000 per year, cost of goods sold (35% of sales) per year, and administrative expenses $15,000 per year. The company pays interest $20,000 annually on average, has a 10% cost of capital and a 30% tax rate. Answer the following questions.

What is NPV for the project?

What is IRR for the project?

What is PI for the project?

Should Roten accept the project?

Using the data provided in the excel file, show all of your work for the following calculations:
a.) mean temperature of unmixed reagents (^oC)

b.) δελταT from graph (^oC)

c.) q absorbed by reaction mixture (J)

d.) q absorbed by calorimeter, stirrer, and thermometer (J)

e.) q total absorbed (J)

f.) q total released (J)

g.) calculation to show limiting reagent

h.) deltaH neutralization for the reaction (kJ/mole of acid)

Write a program to help a small company calculate the amount of money to pay its employees. In this simplistic world, the company has exactly three employees. However, the number of hours per employee may vary. The company will apply the same tax rate to every employee

• The program must be written in Java.
• Prompt the user for the inputs and store the values in variables
• Must include all the inputs and outputs listed here and perform the calculations correctly
  • Inputs (entered by the user of the program)
    • Name of the first employee
      • Hourly rate
      • Number of hours worked
    • Name of the second employee
      • Hourly rate
      • Number of hours worked
    • Name of the third employee
      • Hourly rate
      • Number of hours worked
    • Tax rate (between 0 and 1.0)
  • Processing and Output
    • Calculate and display the amount each employee will be paid before taxes
    • Calculate and display the amount each employee will be taxed
    • Calculate and display the amount each employee will be paid after taxes have been withheld
    • Calculate and display the total amount of taxes the company will withhold
• Make the output look attractive
• Comment your code.

You may separate the processing/calculation step from the output step or you may combine those steps. It is your choice

Kinetic Properties of a Key Enzyme of Prostaglandin Synthesis

Prostaglandins are derived from the 20-carbon fatty acid arachidonic acid in a reaction catalyzed by the enzyme prostaglandin endoperoxide synthase. The enzyme converts arachidonic acid to PGG₂, the immediate precursor for many prostaglandins. The table below show the result of enzyme activity with or without an inhibitor, ibuprofen.

You need first to determine the V_max and K_m, with and without the inhibitor, and then determine which type of inhibitor Ibuprofen is.   The data given here makes it does not afford convenient assessment of V_max and K_m by conventional Michaelis Menten graph (since saturation is not reached under the experimental conditions). Therefore, a Lineweaver-Burke analysis is required. Fill the table with the reciprocal values. The results then are to be drawn as a non-logarithmic graph (next page).

Please show the equation on how to find the 1/[s], the 1/Vo and the 1/Vo[Ib] in the chart. Thank you