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Question: A study on unemployment in the British interwar period produced the following regression equation
Sample period 1920-1938 (n = 19).
U = unemployment rate
B/W = ratio of unemployment benefits to average wage
Q = actual output
Q* = trend predicted output
log Q - log Q* = captures unexpected changes in aggregate demand
The authors23 conclude that the high benefit levels are partly responsible for the high rates of unemployment. Critics of this study argued that when the single observation for 1920 is dropped the results change dramatically." The equation now is
Sample period 1921-1938 (n = 18).
Test whether the results are significantly different from each other.
As a graphical check on the suitability of exponential and Weibull models, compute the Kaplan-Meier estimators F(t) of the survivor functions for the two groups. Plot log F(t) versus t and log[-logF(t)] versus log t
Determine formulas for the t-step probabilities P(Xt = 0) and P(Xt = 1). What is the limiting distribution of the Markov chain?
Screw-‘Em-Good Corp. has just announced a revolutionary security: If you pay SEG $1,000 now, you will get back $150 at the end of each of the next 15 years.
Problem: Match the graphs of the three functions shown below with the graphs of their derivatives.
The average operator of a certain company performs at 100% (average pace) and the range of perlormancc is from about 60% to 140%, and the distribution.
You are asked to design a covered conical pit to store 50 m3 of waste liquid. Assume excavation costs at $100/m3, side lining costs at $50/m2, and cover cost at 25/m2. Determine the dimensions of the pit that minimize cost.
1. Use the field axioms and their consequences to prove the following properties of real numbers. Your proofs should be careful and complete, with only one axiom, theorem, or other justification per step.
A process is monitored using an X? chart with UCL = 13.8 and LCL = 8.2. The process standard deviation is estimated to be 6.6. If the X? chart.
The Greentree Lumber Company is attempting to evaluate the profitability of adding another cutting line to its present sawmill operations.
Which syrup type do you recommend to be increased? Why - Suppose that the daily amount of syrup 1 is increased to 280 gallons. How much will this change contribute to the optimal profit?
Consider two interconnected tanks as shown in the figure above. Tank 1 initial contains 60 L (liters) of water and 125 g of salt, while tank 2 initially contains 60 L of water and 280 g of salt. How does the water in each tank change over time?
Government regulations require equal distribution of shipping among the three carriers. Formulate and solve a linear program to determine the shipping arrangements (mode, destination, and quantity) that will minimize the total shipping cost.
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