1. What is Mean Comparison?

Mean comparison is a statistical method used to determine whether there is a significant difference between the averages of two groups. This calculator helps you compare two means using either t-test or z-test.

2. How Does the Calculator Work?

The calculator compares two means:

Where:

• Mean1 — First group average
• Mean2 — Second group average
• Test Type — Choose between t-test (for small samples) or z-test (for large samples)

Explanation: The calculator computes the difference between means and indicates which statistical test was used for the comparison.

3. Importance of Mean Comparison

Details: Comparing means is fundamental in research to determine if observed differences between groups are statistically significant or likely due to chance.

4. Using the Calculator

Tips: Enter both mean values and select the appropriate test type based on your sample size and data characteristics.

5. Frequently Asked Questions (FAQ)

Q1: When should I use t-test vs z-test?
A: Use t-test for small samples (typically n < 30) or when population standard deviation is unknown. Use z-test for large samples with known population parameters.

Q2: What does a significant difference mean?
A: A statistically significant difference suggests that the observed difference between groups is unlikely to have occurred by random chance alone.

Q3: What other information do I need for a complete analysis?
A: For a full comparison, you typically need sample sizes, standard deviations, and whether the samples are paired/related.

Q4: Can I compare more than two means with this?
A: No, this calculator is for comparing exactly two means. For multiple comparisons, you would need ANOVA.

Q5: What assumptions underlie these tests?
A: Both tests assume normally distributed data and (for independent samples) homogeneity of variance.