Scope: Lectures 05-06. Four questions; submit derivations and code/output where requested.
State units and model assumptions. Keep unrounded values in code and round only in your final communication. Revisions and resubmissions are encouraged.
Question 1
Compute D_V at z=0.38, 0.51, and 0.61. Show D_M and c/H(z) before taking the cube root.
Work to show: equations, units, assumptions, and a reproducible computation where requested.
Question 2
At z=0.38, compare your model distance to the BOSS published summary only after stating r_d=r_d,fid. Calculate the one-point standardized residual.
Work to show: equations, units, assumptions, and a reproducible computation where requested.
Question 3
If the true sound horizon is 2% smaller than the fiducial ruler, state how the reported D_V r_d,fid/r_d scale changes relative to D_V. Keep the convention algebra explicit.
Work to show: equations, units, assumptions, and a reproducible computation where requested.
Question 4
Explain one advantage and one information loss of isotropic D_V compared with separate D_M/r_d and H(z)r_d constraints.
Work to show: equations, units, assumptions, and a reproducible computation where requested.