One Sample Z-Test Calculator

Example Calculations

Example 1:

• Sample Mean (X̄): 50
• Population Mean (μ): 45
• Population Standard Deviation (σ): 10
• Sample Size (n): 30

Calculation:

\(Z = \frac{50 - 45}{10 / \sqrt{30}} = \frac{5}{10 / 5.477} = \frac{5}{1.826} \approx 2.74\)

Example 2:

• Sample Mean (X̄): 100
• Population Mean (μ): 95
• Population Standard Deviation (σ): 15
• Sample Size (n): 50

Calculation:

\(Z = \frac{100 - 95}{15 / \sqrt{50}} = \frac{5}{15 / 7.071} = \frac{5}{2.121} \approx 2.36\)