Scope: Lectures 09-10. 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
Invert S8=sigma8 sqrt(Omega_m/0.3) using the DES Y3 central S8 and Omega_m values. Report the result as conditional on the central Omega_m.
Work to show: equations, units, assumptions, and a reproducible computation where requested.
Question 2
Holding S8 fixed, calculate the sigma8 values at the lower and upper quoted Omega_m endpoints. Explain why this range is not a propagated confidence interval.
Work to show: equations, units, assumptions, and a reproducible computation where requested.
Question 3
List the three two-point function families in a 3x2pt analysis and give one distinct systematic for each or for their shared calibration.
Work to show: equations, units, assumptions, and a reproducible computation where requested.
Question 4
Explain why S8 is a compressed parameter combination rather than a direct measurement of sigma8 alone.
Work to show: equations, units, assumptions, and a reproducible computation where requested.