Math & Numbers
Z Test Calculator
Run one-sample Z tests for a mean with known population standard deviation or a single population proportion
json· JSON resultOpen tool
Quick start
Call this tool from your code in three languages.
cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/z-test-calculator' \
-H 'Content-Type: application/json' \
-d '{"testType":"mean","sampleMean":105,"hypothesizedMean":100,"populationStandardDeviation":15,"sampleSize":64,"successCount":60,"trialCount":100,"hypothesizedProportion":0.5,"alternative":"two-sided","alpha":0.05,"decimalPlaces":4}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
HTTP
POST https://api.elysiatools.com/en/api/tools/z-test-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| testType | select | No | — |
| sampleMean | number | No | — |
| hypothesizedMean | number | No | — |
| populationStandardDeviation | number | No | — |
| sampleSize | number | No | — |
| successCount |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
mcp.json
{
"mcpServers": {
"elysiatools-z-test-calculator": {
"name": "z-test-calculator",
"description": "Run one-sample Z tests for a mean with known population standard deviation or a single population proportion",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=z-test-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
tools/list
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
tools/call
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "z-test-calculator",
"arguments": {
"testType": "mean",
"sampleMean": 105,
"hypothesizedMean": 100,
"populationStandardDeviation": 15,
"sampleSize": 64,
"successCount": 60,
"trialCount": 100,
"hypothesizedProportion": 0.5,
"alternative": "two-sided",
"alpha": 0.05,
"decimalPlaces": 4
}
}
}Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).
Questions or issues? Contact [email protected]