Statistics
Confidence Interval for Mean - Statistics
Learn the confidence interval for mean with examples, step-by-step guide, and calculator tools. Range likely to contain population mean
The confidence interval for mean is a fundamental concept in statistics. Range likely to contain population mean. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[CI = \bar{x} \pm z^* \times \frac{s}{\sqrt{n}}\]
Variables
CI
Confidence interval
x̄
Sample mean
z*
Critical value
s
Standard deviation
n
Sample size
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → 50 ± 1.96 × (10/√100) = 50 ± 1.96 = [48.04, 51.96]
Example 2
Example 2: [48.04, 51.96]
Frequently Asked Questions
What is the confidence interval for mean?
Range likely to contain population mean
How do I calculate confidence interval for mean?
Use the formula: CI = \bar{x} \pm z^* \times \frac{s}{\sqrt{n}}. Follow the steps provided above.
What tools can help with confidence interval for mean?
We provide online calculators: confidence-interval-calculator