العربية
Abdulla Mohammed Nasser Al-Jabri
B.Sc. in Computer Science — KFUPM — Dhahran
Hypothesis Under Test
Does the complementary ratio C = (H−h)/H in mango trees approach the mathematical reference value √2−1 ≈ 0.41421?
Exploratory Sample Results (n = 5 Mango Trees, Sho'ub - Sana'a)
Measure Calculated Value Reference Value Description
C = (H − h) / H 0.41297 0.41421 Numerically close, statistically compatible
n = 5
Mean = 0.41297
SD = 0.00845
SE = 0.00378
90% CI = [0.40491, 0.42102]
TOST p = 0.000801 (Pragmatic margin Δ = ±0.03)
Statistical Analysis: A Two One-Sided Tests (TOST) equivalence test was used. The 90% confidence interval falls entirely within the equivalence margin, and the TOST p-value is less than α = 0.05. The result supports statistical equivalence of the mean ratio, assuming measurement accuracy and assumption validity.
Interpretation Limits: This is an exploratory analysis (not pre-registered). Equivalence applies to the mean and does not imply exact match for every tree. The small sample size (n=5) at a single location does not allow generalization as a universal geometric law; replication is recommended.