Researchers wanted to measure the effect of alcohol on the development of a region of the brain (the hippocampus) responsible for long-term memory storage. The researchers randomly selected 12 adolescents with alcohol use disorders. They wanted to test the claim that hippocampal volumes in alcoholic teens were less than the normal volume of 9.02 centimeters cubed. An analysis of the sample data revealed that the volumes were approximately normal with a mean of 8.1 and standard deviation of 0.7. Test the claim at the 1% level of significance.

Which of the following decision model does not take into account of the time value of money?

A project is rejected if its NPV < 0.

True

False

Which of the following decision model takes into account of all the cash flows of a project.

If the Profitability Index (PI) of an investment is 0.7, then that investment will be accepted.

True

False

A manufacturer of sports equipment has developed a new synthetic fishing line that the company claims has a mean breaking strength of 8 kg with a standard deviation of 0.5 kg. To test the claim, a random sample of 50 lines is tested and found to have a mean breaking strength of (7.8 kg) and a standard deviation of (0.7 kg). Could you conclude that the manufacturer claim justified at 0.01 level of significance?( state any assumptions made)   

Subject: Probability and statistics

The lifetime of an electronic component has a Weibull distribution with parameters α​=0.60 and β​=2. Compute the probability the component fails before the expiration of a 4 year warranty.

The maximum flood​ levels, in millions of cubic feet per​ second, for a particular U.S. river have a Weibull distribution with α=5/3 and β=3/2. Find the probability that the maximum flood level for next year will exceed 0.7 million cubic feet per second.

Blending of wastes to achieve an optimum C/N ratio. Leaves, with a C/N ratio of 50, are to be blended with waste-activated sludge from a wastewater treatment plant, with a C/N ratio of 6.3. Determine the proportions of each component to achieve a blended C/N ratio of 25. Assume that the following conditions apply: moisture content of sludge = 75%; moisture content of leaves = 50%; nitrogen content of sludge = 5.6%; and nitrogen content of leaves = 0.7%.

The market is expected to yield 9.4% and the risk free rate is 1.2%. You currently hold a portfolio with a beta of 0.7 worth $24,400. You want to invest in another portfolio with a beta of 1.8. How much will you have to invest in the new risky asset so that the resulting portfolio will have an expected return of 11.4%? Note: You are adding funds to the new asset and to the overall portfolio. answer in $ not in percentage.

Answer is 23,864.90 but I am getting 20,328.14

Tango Company is planning to acquire Delta Company. The additional pre-tax income from the acquisition will be $300,000 in the first year, but it will increase by 2% in future years. Because of diversification, the beta of Tango will decrease from 1.2 to 0.8. Currently the return on the market is 9% and the riskless rate is 4%. What is the maximum price that Tango should pay for Delta? The tax rate of Tango is 35%.

Suppose an increase in world demand for potash (used in the production of fertilizer) increases the price from $285 per tonne to $315 per tonne. Annual Canadian production increases from 15 million tonnes to 17 million tonnes. What is the elasticity of supply of Canadian potash?

Select one:

A.

1.0

B.

1.25

C.

0.5

D.

2.5

E.

0.8

2. A garden hose attached to a nozzle is used to fill a 15-gal bucket. The inner diameter of the hose is 1.5 cm, and it reduces to 0.8 cm at the nozzle exit. If it takes 50 s to fill the bucket with water (density = 1 kg/L), determine

(a) the volume and mass flow rates of water through the hose, and

(b) the average velocity of water at the nozzle exit.

a rectangular slab of 2024-T6 alluminium alloy is to be machined by a cutting tool of a rake angle of 6.5 degrees. the friction coefficiet between the tool and the slabmaterial was found to be 0.32 . if the shear yield stress of the alluminium alloy is 210 MN/m^2 , calculate the force in the direction of the tool feed (Fx) for a depth cut (t) of 0.8 mm and a unit tool width of 1mm.