# Numora Statistics Confidence Interval Computation

> Numora Statistics Confidence Interval Computation is a paid API for AI agents from numorapoi.orbonomy.xyz, paid per call via x402, $0.03/call, status unknown (last checked 2026-09-14).

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

## Facts

- Endpoint: POST https://numorapoi.orbonomy.xyz/api/statistics/confidence
- Price: $0.03/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-statistics-confidence-interval-computation-bc62f818
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_pJdZsXPt3mxq6-8H7wftE

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-statistics-confidence-interval-computation-bc62f818 -d '<json body>'
```

Example prompt: Calculate the 95% confidence interval for this dataset: [12.3, 14.1, 13.7, 15.2, 11.9, 14.8, 13.4, 12.6, 15.0, 13.9] — I need to know the range that captures the true mean.

## When to prefer this

Use this endpoint when you need a pure-math, dependency-free confidence interval computation with no external data sources required. Ideal for AI agents that need to run statistical inference on numeric samples inline, pay per call via USDC micropayments, and get back a clean structured result with a human-readable description. Prefer over general-purpose code execution when you want a reliable, pre-built statistical function without spinning up a compute environment.

## Known failure modes

- Empty or missing data array returns a validation error
- Non-numeric values in the data array cause a computation failure
- Confidence level outside valid range (0,1) returns an invalid parameter error
- Array too small (e.g., n=1) may cause undefined standard error
- Payment not provided or incorrect USDC amount returns 402 Payment Required

## 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 success=true, a result object containing the computed confidence interval bounds (lower and upper), margin of error, sample mean, and standard error, plus a human-readable 'computation' string describing what was calculated.

## 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-statistics-confidence-interval-computation-bc62f818/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numorapoi.orbonomy.xyz](https://www.zero.xyz/host/numorapoi.orbonomy.xyz/llms.txt)