# Numora Confidence Interval Calculator

> Numora Confidence Interval Calculator is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).

Computes statistical confidence intervals for a dataset at a specified confidence level (e.g., 95%)

## Facts

- Endpoint: POST https://numormo.vercel.app/api/statistics/confidence
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-confidence-interval-calculator-19247d26
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_XrcK3FJC7rfMJ8wwwXIY6

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-confidence-interval-calculator-19247d26 -d '<json body>'
```

Example prompt: Calculate a 95% confidence interval for this dataset: [12.4, 13.1, 11.8, 14.2, 12.9, 13.5, 11.6, 12.7] — I need to know the margin of error around the mean.

## When to prefer this

Choose this endpoint when you need a pure-math, server-side confidence interval computation with no external data dependencies — ideal for agents that have already collected numeric samples and need a fast, reliable statistical interval without setting up a local math library. Particularly suited for micropayment-gated pipelines using x402 on Base. Prefer alternatives if you need confidence intervals for proportions (binomial), survival analysis, or Bayesian credible intervals.

## Known failure modes

- Empty or missing 'data' array returns a validation error
- Data array with fewer than 2 elements may cause division-by-zero or insufficient degrees of freedom
- Invalid confidence level (outside 0–1 range or missing) may default to 0.95 or return an error
- Non-numeric values in the data array will likely cause a computation failure
- Server-side errors return success: false with an error message

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a 'result' containing the computed confidence interval (lower and upper bounds), margin of error, sample mean, and possibly standard error or degrees of freedom; plus a 'computation' string describing what was calculated in plain English, and a 'success' boolean.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "data"
 ],
 "properties": {
  "data": {
   "type": "array"
  },
  "level": {
   "type": "number",
   "description": "Confidence level (e.g., 0.95)"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-confidence-interval-calculator-19247d26/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)