Question 27223: Declared Theorem Application, Failed Hypotheses and Finite Evidence Have Different Roles

Original question and givens

Use mode=zero_variance and complete model={"value":-2,"n":4}. Give (mode, constant_value, n, variance, standardization_obstruction, this_standardization_claim).

• G001 — Use mode=zero_variance and complete model={"value":-2,"n":4}. Give (mode, constant_value, n, variance, standardization_obstruction, this_standardization_claim).

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-central-limit-theorem-finite-variance-iid

Step-by-step derivation

source roles = [clt-application-boundary]

derived = [[mode, constant_value, n, variance, standardization_obstruction, this_standardization_claim]]

source roles = [-2, 4]

derived = [0, sigma=0_makes_standardization_undefined, No]

Reverse checks

• S002 · premise_and_result_audit — Reverse-check the complete original data,step operands and premises;finite checks,conditional named-theorem use and general formal proof remain distinct.
• S001 · premise_and_result_audit — Reverse-check the complete original data,step operands and premises;finite checks,conditional named-theorem use and general formal proof remain distinct.

Result

(zero_variance, -2, 4, 0, sigma=0_makes_standardization_undefined, No)

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.