One-sample z-test
H₀: μ = μ₀ vs H₁: μ ≠ μ₀ (two-tailed).
Test statistic
Z = -2.828
(66 − 70) / (10/√50)
Reject H₀ — |-2.83| > 1.96. Evidence that μ ≠ 70.
p-value ≈ 0.0047 < α = 0.05. Critical value (z): 1.96.
One-sample z-test and t-test Lab
STA-215 · Semester III · Statistics II
One-sample z-test
H₀: μ = μ₀ vs H₁: μ ≠ μ₀ (two-tailed).
Test statistic
Z = -2.828
(66 − 70) / (10/√50)
Reject H₀ — |-2.83| > 1.96. Evidence that μ ≠ 70.
p-value ≈ 0.0047 < α = 0.05. Critical value (z): 1.96.