When to use it
Use this tool to test a prespecified mean-based hypothesis when observations are appropriately sampled and the model assumptions are reasonable.
Use it only when the selected variables and study design match the method's requirements.
How to use it
- Open the tool from the Quantly Tools panel.
- Confirm the active dataset and analysis session.
- Set Variable to Test (Required): Select the numeric variable whose mean you want to test.
- Set Hypothesized Population Mean (μ₀) (Required): The known population mean to test against.
- Set Population Standard Deviation (σ) (Required): The known population standard deviation. Must be greater than 0.
- Set Alternative Hypothesis (Required): Specifies the alternative hypothesis for the test.
- Set Significance Level (α) (Required): The threshold for determining statistical significance.
- Set Generate Box Plot with Reference Line (Optional): Set generate box plot with reference line.
- Set Generate Distribution Plot with Mean Lines (Optional): Set generate distribution plot with mean lines.
- Set Generate Sample Mean with Confidence Interval Plot (Optional): Set generate sample mean with confidence interval plot.
- Set Generate Normal Curve with Critical Regions (Optional): Set generate normal curve with critical regions.
- Set Generate Standard Normal with Z-Score Marker (Optional): Set generate standard normal with z-score marker.
- Review optional or advanced settings and keep defaults unless your design requires a change.
- Run the tool, inspect warnings and diagnostics, then save or export the result with its assumptions.
How to interpret results
Interpret the p-value against the chosen alpha level, then examine the effect estimate and confidence interval. Statistical significance is not the same as practical importance; verify assumptions and multiplicity.