# Numora Statistics Confidence Interval Computation

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

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

## Facts

- Endpoint: POST https://numormor.netlify.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-statistics-confidence-interval-computation-88774724
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_C6ItGlUAUTMuauwhU-RpT

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-88774724 -d '<json body>'
```

Example prompt: Calculate the 95% confidence interval for this dataset: [12.3, 14.5, 11.8, 13.2, 15.0, 12.7, 14.1, 13.6, 11.5, 14.8] — give me the interval bounds and margin of error.

## When to prefer this

Choose this endpoint when you need pure server-side confidence interval computation with no external data dependencies, especially in automated pipelines where x402 micropayment billing per call is acceptable and statistical correctness on raw numeric arrays is the priority.

## Known failure modes

- Empty or missing 'data' array returns validation error
- Non-numeric values in data array cause computation failure
- Confidence level outside 0–1 range (e.g., 1.5 or -0.1) returns error
- Single-element array may produce undefined or degenerate interval
- Payment not provided or insufficient USDC results in 402 response

## 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 bounds (lower and upper), margin of error, and related statistics, plus a 'computation' string describing what was calculated and 'success' confirming the operation completed.

## 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-88774724/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormor.netlify.app](https://www.zero.xyz/host/numormor.netlify.app/llms.txt)
