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Question: If p has a uniform distribution in the range (0, 1) show that - 2 loge p has a X2-distribution with degrees of freedom 2. If there are k independent tests, b each with a p-value, then
has a X2 distribution with d.f. 2k. This statistic can be used for an overall rejection or acceptance of the null hypothesis based on the k independent tests. [See G. S. Maddala, Econometrics (New York: McGraw-Hill, 1977), p. 48. The test is from C. R. Rao, Advanced Statistical Methods in Biometric Research (New York: Wiley, 1952), p. 44.]
Assume that the firm increases its expenditure on variable inputs by $63 (1 %) to $6,363. Show that the level of output increases by λ ∗ 63.
How many ways are there to form a task force of 7 people from that list of 21 candidates if at least one member of the task force has to be a Republican and at least one member has to be a Democrat?
The formula for the Shapley value is where i is the set of all coalitions S ⊂ N containing i as a member (i.e., i ∈ S). Show that an equivalent formula is
What is the residual standard error associated with the regression of alt_cur and CCbest?
Compute the minhash signature for each column if we use the following three hash functions: h1(x) = 2x + 1 mod 6; h2(x) = 3x + 2 mod 6; h3(x) = 5x + 2 mod 6.
Given the following distances between destination nodes, what is the minimum distance that connects all the nodes?
It is estimated that you will pay about $80,000 into the Social Security system (FICA) over your 40-year work span. For simplicity, assume this is an annuity.
Draw a tree diagram to illustrate the different possibilities. In hoe many ways will the 2nd , 3rd, and 4th coins all turn heads.
Consider a mass moving in a spherically symmetric potential V(r) = kr, k > 0. This guess for the found state wave function does not fall off fast enough as r goes to infinity. What is the correct asymptotic behavior for very large r
Formulate a linear programming model that can be used to determine a minimum-cost staffing plan for PharmaPlus. Determine the optimal staffing plan using the Management Scientist software, including the number of pharmacists and technicians needed.
Solve the nonlinear system of equations with the fixed-point iteration method using the iteration functions from part (a). Use the following initial values: Th = Tc = 298 K, Jc = 3000 W/m2, and Jh = 5000 W/m2
Analysis of the Regressions - Make very specific comments and give reasons regarding any similarities or differences in the output results and which regression produces the strongest correlation coefficient result?
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