Normality Check

{
  "asOf": "2026-10-11T08:55:56.578Z",
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "excessKurtosis": -0.4330947946,
  "jarqueBera": 0.09689143904,
  "mean": 5.05,
  "n": 12,
  "notChecked": [
    "small samples (Jarque-Bera is unreliable under about 30 observations: look at a histogram or Q-Q plot)",
    "that approximate normality is what your method needs (many tests tolerate moderate departures)",
    "…1 more"
  ],
  "pValue": 0.95270905,
  "reasons": [
    "No significant departure detected.",
    "Fewer than 30 values: this test has little power, so 'consistent with normal' is weak evidence.",
    "…1 more"
  ],
  "sd": 0.5248376372,
  "significantAt5pct": false,
  "skewness": -0.03940741347,
  "source": "computed locally",
  "summary": "n=12: skewness -0.039, excess kurtosis -0.433, Jarque-Bera 0.097 (p = 0.9527); 66.7% within 1 SD (normal: 68.3%), 100% within 2 SD (95.4%).",
  "verdict": "NO_EVIDENCE_AGAINST_NORMAL_SMALL_SAMPLE",
  "within1SdPct": 66.667,
  "within2SdPct": 100,
  "within3SdPct": 100
}

# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://stats-tests.x402tookit.com/normality-check?values=4.1%2C5.2%2C4.8%2C5.0%2C5.5%2C4.9%2C5.1%2C6.0%2C4.7%2C5.3%2C4.4%2C5.6'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://stats-tests.x402tookit.com/normality-check?values=4.1%2C5.2%2C4.8%2C5.0%2C5.5%2C4.9%2C5.1%2C6.0%2C4.7%2C5.3%2C4.4%2C5.6' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode

// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fstats-tests.x402tookit.com%2Fnormality-check
const res = await pay("https://stats-tests.x402tookit.com/normality-check?values=4.1%2C5.2%2C4.8%2C5.0%2C5.5%2C4.9%2C5.1%2C6.0%2C4.7%2C5.3%2C4.4%2C5.6");
console.log(res.status, await res.text());

# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://stats-tests.x402tookit.com/normality-check?values=4.1%2C5.2%2C4.8%2C5.0%2C5.5%2C4.9%2C5.1%2C6.0%2C4.7%2C5.3%2C4.4%2C5.6")
    print(res.status_code, res.text)