calculate_confidence_interval
Compute confidence intervals for sample means. Input mean, standard deviation, sample size, and confidence level (90%, 95%, or 99%) to get lower and upper bounds. Ideal for statistics, A/B tests, and polling.
Instructions
Compute confidence interval for a sample mean. Use for statistics, A/B test results, or polling. Inputs: mean, std dev, sample size, confidence (90/95/99%). Returns CI lower/upper bounds. See list_bundles for related 'math' calculators.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| sample_mean | Yes | Sample mean | |
| std_dev | Yes | Standard deviation | |
| sample_size | Yes | Sample size | |
| confidence | No | Confidence level | 95 |
Output Schema
| Name | Required | Description | Default |
|---|---|---|---|
| result | No | Computed result. Object whose fields depend on the tool (e.g. {tax, marginal_rate, brackets} for tax tools, {volume_l, gallons} for volume tools). | |
| formula | No | Human-readable formula or method used (e.g. "I=P·r·t", "Magnus formula"). | |
| source | No | Authoritative source for the rule or formula (e.g. "Article 197 CGI", "NF DTU 21"). | |
| reference_url | No | Link to a calcul2 page documenting the calculation in detail. |