A company has just built a new factory to manufacture their widgets with a method they believe should be more efficient than their old method on a daily basis. To compare they recorded the number of widgets produced by the old factory for the last 8 days before it was shutdown and the first 9 days of the new factory's production. The company has reason to believe that daily production of widgets does not follow the normal distribution and have requested the use of the Wilcoxon rank sum test.

What would be the correct hypothesis test assuming that μ₁ is the mean number produced by the old factory and μ₂ is the mean number produced by the new factory?

H₀: μ₁ = μ₂ vs. H_a: μ₁ ≠ μ₂
H₀: μ₁ = μ₂ vs. H_a: μ₁ > μ₂
H₀: μ₁ > μ₂ vs. H_a: μ₁ = μ₂
H₀: μ₁ = μ₂ vs. H_a: μ₁ < μ₂

What rank should the value 267 from the old factory data have?

Calculate μ_W.   and Calculate the test statistic W

What is the approximate p value? (Hint: treat W as normally distributed)

Information about a pickling company is given below.

(Pickling: A plot to be built is the name given to the stripping of vegetative or soft soil on a land to be filled, and the soil on the ore in open mining enterprises.)

Variable Expenses Electricity Expenses: 100 TL/m3

Diesel and Oil Expenses: 500 TL/m3

Tire and Spare Parts Expenses: 400 TL/m3

Explosive Expenses: 300 TL/m3

Other Variable Expenses: 200 TL/m3

Fixed costs Depreciation, insurance and interest expenses: 1.5 billion TL/year

Compulsory labour and personnel expenses: 0.5 billion TL/year

Other Fixed Expenses: 0.5 billion TL/year Revenue: 5000 TL/m3

Production Capacity is 2000000 m3 /year

a) Find the breakeven point as the production amount?

b) Find the amount of pickling that the company needs to make in order to make a profit of 3 billion TL/year.

A fence is to be built to enclose a rectangular area. The fence along three sides is to be made of material that costs $5 per foot. The material for the fourth side costs $15 per foot.If $3,000 is available for the fencing, find the dimensions of the rectangle that will enclose the most area.

A city built a new parking garage in a business district. For a random sample of 64 days, daily fees collected averaged $2,000, with a standard deviation of $400.

(a) Construct a 90% confidence interval estimate of the mean daily parking fees collected.

(b) Describe the confidence interval in everyday language.

For a classroom demonstration, a professor built an RL circuit similar to the one shown in the figure, with e m f = 6.00 V, L = 5.80 mH, and R = 3.80 Ω.

A rectangular circuit contains a battery of emf ℰ on its left side, with the positive terminal above the negative terminal. An open switch S is on the top side, an inductor L is on the right side, and a resistor R is on the bottom side.

(a) What is the inductive time constant of the circuit (in ms)? _________________ms

(b) Calculate the current in the circuit (in A) 250 µs after the switch is closed. _________________A

(c) What is the value of the final steady-state current (in A)? A (d) After what time interval (in ms) does the current reach 80.0% of its maximum value? _____________ms

1) (justify) The less progressive the tax system, the: -

a) Weaker is the built-in stability for the economy

b) Greater is the built-in stability for the economy

c) Less is the effect of crowding-out on the economy

d) Greater is the severity of business fluctuations on the economy

2) (show working) If the price level is constant and the slope of the aggregate expenditure curve is 0.65, a decrease in investment of RM 100 leads to a decrease in real GDP of about -

a) RM65

b) RM154

c) RM100

d) RM286

3) [SHOW WORKING] If the price level is constant and the slope of the aggregate expenditure curve is 0.65, a decrease in investment of RM 100 leads to a decrease in real GDP of about -

a) RM65

b) RM154

c) RM100

d) RM286

The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the region above the curve y = 0.5 x ^2 and below the line y = 280 . (Here, distances are measured in meters.) The water level is 34 meters below the top of the dam. Find the force (in Newtons) exerted on the dam by water pressure. (Water has a density of 1000 kg/ m^ 3 , and the acceleration of gravity is 9.8 m/ sec ^2 .)

Answer in Newtons and make sure that it is not in scientific notation. Check answer as last 5 have been wrong answers. Need detailed steps also

An LC circuit is built with a 10 mH inductor and an 12.0 pF capacitor. The capacitor voltage has its maximum value of 40 V at t=0s.

Part A

How long is it until the capacitor is first fully discharged?

Express your answer with the appropriate units. (t=?)

Part B

What is the inductor current at that time?

Express your answer with the appropriate units.(I=?)

a. Built-in (or automatic) stabilizers work by changing ______ so that changes in GDP are reduced.

multiple choice 1

• government payouts and interest rates

• taxes and government payouts

• interest rates and investment

• wages and prices

b. What type of tax system would have the most built-in stability?

multiple choice 2

• A progressive tax because it increases at an increasing rate as incomes rise, thus having more of a dampening effect on rising (or falling) incomes.

• A regressive tax since it acts as a cushion on declining incomes—the tax bite is less, which leaves more of the lower income for spending.

• A proportional tax because individuals pay more in taxes if they have higher incomes, thus having more of a dampening effect on rising (or falling) incomes.

• A regressive tax because those with higher incomes pay a smaller proportion of their income in tax and thus can spend more.