Determine the p-value for each of the following situations. (Give your answer bounds exactly.)

(a) H_a: β₁ > 0, with n = 15 and t = 1.23
_____ < p < _____

(b) H_a: β₁ ≠ 0, with n = 25, b₁ = 0.3, and s_b1 = 0.11
____ < p < _____

(c) H_a: β₁ < 0, with n = 18, b₁ = -1.55, and s_b1 = 0.73
____< p < ____

A rectangular rosette is mounted on a steel plate having a modulus f elasticity E=200GN/m2 and Poission’s ratio =0.3. The strains measured are ε1=500×10-6; ε2=400×10-6; ε3= -100×10-6. Develop a MATLAB code to compute maximum shear stress and the orientation angle for the principle axis of the stress.

A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 70 cm wide at the top, and has height 40 cm. If the trough is being filled with water at the rate of 0.3 m³/min how fast is the water level rising when the water is 20 cm deep?

Consider a block (mass 12 kg) at rest on a flat plane. A static coefficient of friction (μs = 0.3) exists between the block and the ground. If a force of 50 N is applied to the block find:

(a) The acceleration of the block.
(b) The velocity of the block after 3 seconds.

(c) The displacement of the block from its starting location after 3 seconds.

In a group consisting of NT =500 marbles, the mean weight and s.d. value of a marble are 5.02 g and 0.3 g, respectively. 100 marbles are randomly being taken from this group of marbles. Calculate the expected ratios of sample marbles whose total weight a) varies between 4.96-5.00 g, b) is more than 5.10 g

Suppose a batch of metal shafts produced in a manufacturing company have a variance of 6.25 and a mean diameter of 206 inches.

If 90 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.3 inches? Round your answer to four decimal places.

How nature of friction and its magnitude varies based on surface characteristics? Also assume that you
are moving a rectangular block of weight 350 N in a rough horizontal plane having a coefficient of friction
0.3. In what way you will find the magnitude of force which can move the block while acting at an angle of
27 degree with horizontal?

The position of a 0.30-kg object attached to a spring is described by

x = (0.22 m) cos(0.3?t)

(a) Find the amplitude of the motion.
m

(b) Find the spring constant.
N/m

(c) Find the position of the object at t = 0.26 s.
m

(d) Find the object's speed at t = 0.26 s.
m/s

As the manager of the pension fund, you are frequently targeted by software companies peddling investment simulation software. You have finally narrowed down your choice to two applications. You need to analyze the options by calculating NPV, IRR, and Payback Period based on their purchase price and savings to your company over time. Your staff has prepared a cash-flow table to help you. Year zero shows the purchase price of each application, and the figures listed for years 1-3 represent the savings to the company in successive years.

You are considering three possible scenarios.

Question 7: If the payback period is two years, which application should be selected?

Question 8: If the required rate of return is 15 percent, which application should be selected?

Question 9: If the selection criterion is IRR, which application should be selected?

Respond to questions 7, 8, and 9 above by submitting a single, integrated report that shows your supporting data and calculations. Finally, provide a recommendation and rationale for purchasing either Application I or Application II.

Submit your Basic Capital Budget Analysis Report and Calculations to the dropbox below. Be sure to show your calculations in Excel and provide a narrative analysis in PowerPoint. Your narrative analysis should include your recommendation and rationale for purchasing either Application I or Application II.

Another one of your responsibilities as CFO is to determine the suitability of new and current products. Your CEO has asked you to evaluate Android01. That task will require you to combine data from your production analysis from Project 2 with data from a consultant's study that was done last year. Information provided by the consultant is as follows:

initial investment: $120 million composed of $50 million for the plant and $70 million net working capital (NWC)

yearly expenses from year 1 to year 3: $30 million

yearly revenues from year 1 to year 3: $0

yearly expenses from year 4 to year 10: $55 million

yearly expected revenues from year 4 to year 10: $95 million

yearly expenses from year 11 to year 15: $60 million

yearly expected revenues from year 11 to year 15: $105 million

You are to calculate NPV using the “expected values”. The actual cash flow may be variable (risky) and that is the reason why the discount rate is greater than the riskless rate.

This concludes the information provided by the consultant.

You also have the following information:

Assume that both expenses and revenues for a year occur at the end of the year. NWC pays the bills during the year, but has to be replenished at the end of the year.

Android01 is expected to cannibalize the sales of Processor01 while also reducing the variable costs for the production of Processor01. From years 4 to 10, revenues are expected to fall by $5M, whereas variable costs will go down by $1 million. Processor01 is to be phased out at the end of the 10th year.

At the end of the 15th year, the plant will be scrapped for a salvage value of $10 million. NWC will be recovered.

Question 10: Calculate the expected cash flows from the Android01 project based on the information provided.

Question 11: Calculate the NPV for a required rate of return of 6.5 percent. Also calculate the IRR and the Payback Period.

Before starting your calculations, review the following materials on NPV, IRR and Payback Period.

Parker Plastic, Inc., manufactures plastic mats to use with rolling office chairs. Its standard cost information for last year follows: Standard Quantity Standard Price (Rate) Standard Unit Cost Direct materials (plastic) 9 sq ft. $ 1.30 per sq. ft. $ 11.70 Direct labor 0.3 hr. $ 13.50 per hr. 4.05 Variable manufacturing overhead (based on direct labor hours) 0.3 hr. $ 1.30 per hr. 0.39 Fixed manufacturing overhead ($619,080 ÷ 938,000 units) 0.66 Parker Plastic had the following actual results for the past year: Number of units produced and sold 1,000,000 Number of square feet of plastic used 12,800,000 Cost of plastic purchased and used $ 15,360,000 Number of labor hours worked 336,000 Direct labor cost $ 4,200,000 Variable overhead cost $ 1,700,000 Fixed overhead cost $ 393,000

Required: Calculate Parker Plastic’s variable overhead rate and efficiency variances and its over- or underapplied variable overhead.