📊 Confidence Interval Calculator

95% confidence interval for the mean

46.6978 to 53.3022

50 ± 3.3022

Margin of error

±3.3022

Critical value t* (df = 24)

2.0639

Standard error

1.6

Step by step

1. Critical value for 95% confidence: t* (df = 24) = 2.0639
2. Standard error: s ÷ √n = 8 ÷ √25 = 1.6
3. Margin of error: 2.0639 × 1.6 = 3.302238
4. Interval: 50 ± 3.3022 = 46.6978 to 53.3022

We are 95% confident that the true population mean lies between 46.6978 and 53.3022.