Lot X; bo iid Bor(p)) rv's, for i = 1.2, ..., n and Y, bo iid Bor(p2) rv's, for j = 1,2,....m. Derive the approximate 95% CI for pi – P2. %D
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- Read measurements w-z on the enlarged fractional rule shown in Figure 30-13.The formula for an increasing population is given by p(t)=P0ert where P0 is the initial population and r0. Derive a general formula for the time t it takes for the population to increase by a factor of M .Altmans z-score Altmans z-score is a financial tool for predicting insolvency in a business. For a certain company, the z-score formula is z=0.84+0.6StockpriceOutstandingsharesTotalliabilty In this exercise, we assume that thre are 45, 000 outstanding shares at a price of 4.80 each. a. Use L, for total liability, in dollard, and give a formula for the z-score for this company. b. Would a larger total liability idicate a better or worese outlook for the company? c. A z-score of 1.81 or lower indicates a high probability of insolvency. What is the smallest value of L that will give a z-score that indicates a high probability on insolvency?
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- Consider two brine tanks connected as shown in the figure. Pure water flows into the top of tank 1 at a rate of 5 L/min. The brine solution is pumped from tank 1 into tank 2 at a rate of 15 L/min, and from tank 2 into tank 1 at a rate of 10 L/min. A brine solution flows out the bottom of tank 2 at a rate of 5 L/min. Suppose there are 80 Lof brine in tank 1 and 180 L of brine in tank 2. Let x be the amount of salt, in kilograms, in tank 1 after t minutes, and y the amount of salt, in kilograms, in tank 2 after t minutes. Assume that each tank is mixed perfectly. If x(0)=5 kg and y(0)=4 kg, how much is salt in each tank after t minutes? As t→∞, how much salt is in tank 1? How much salt is in tank 2?Consider two brine tanks connected as shown in the figure. Pure water flows into the top of tank 1 at a rate of 5 L/min. The brine solution is pumped from tank 1 into tank 2 at a rate of 15 L/min, and from tank 2 into tank 1 at a rate of 10 L/min. A brine solution flows out the bottom of tank 2 at a rate of 5 L/min. Suppose there are 80 Lof brine in tank 1 and 180 L of brine in tank 2. Let x be the amount of salt, in kilograms, in tank 1 after t minutes, and y the amount of salt, in kilograms, in tank 2 after t minutes. Assume that each tank is mixed perfectly. What would a system of first order of differential equations look like for this situation?Shannon conducts a study and tells you that when she calculated Cohen's d , it was 0.00. What conclusion would you reach about the effects of her independent variable?