假设检验演示
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①本范例演示假设检验的数学过程与图形表示;②涉及核心概念包括统计假设、p值、正态分布、检验统计量;③构造要点使用了GeoGebra的Sum(求和)、FractionText(分数文本)、Integral(积分)、If(条件判断)、Segment(线段)等命令及对象X, λ, fr, A2至A36;④适合高中及以上数学学习者、统计学初学者用于理解假设检验原理与可视化。
GeoGebra 命令及参数
Sum(C2:C3) → D3Sum(C2:C4) → D4Sum(C2:C6) → D6Sum(C2:C7) → D7Sum(C2:C8) → D8Sum(C2:C9) → D9Sum(C2:C10) → D10Sum(C2:C11) → D11Sum(C2:C12) → D12Sum(C2:C13) → D13Sum(C2:C14) → D14Sum(C2:C15) → D15Sum(C2:C16) → D16Sum(C2:C17) → D17Sum(C2:C18) → D18Sum(C2:C19) → D19Sum(C3:C20) → D20Sum(C4:C21) → D21Sum(C2:C22) → D22Sum(C2:C23) → D23Sum(C2:C24) → D24Sum(C2:C25) → D25Sum(C2:C26) → D26Sum(C2:C27) → D27Sum(C2:C28) → D28Sum(C2:C29) → D29Sum(C2:C30) → D30Sum(C2:C31) → D31Sum(C2:C32) → D32Sum(C2:C33) → D33Sum(C2:C34) → D34Sum(C2:C35) → D35Sum(C19:C36) → D36Sum(C20:C37) → D37Sum(C21:C38) → D38FractionText(p_1) → n_{1}Integral(gr, -40, (X + 1 / 2 - λ) / sqrt(λ)) → IrSum(C2:C5) → D5_1Sum($C2:C5) → D5_2Sum(C2:C5) → D5_3Sum(C2:C5) → D5If(D10 < 0.05, C10, D5 < 0.05, C5, D4 < 0.05, C4, D3 < 0.05, C3, D2 < 0.05, C2, 0, D9 < 0.05, C9, D8 < 0.05, C8, D7 < 0.05, C7, D6 < 0.05, C6) → bIf(D10 < 0.05, A10, D5 < 0.05, A5, D4 < 0.05, A4, D3 < 0.05, A3, D2 < 0.05, A2, 0, D9 < 0.05, A9, D8 < 0.05, A8, D7 < 0.05, A7, D6 < 0.05, A6) → aIntegral(gr, -40, a) → numiSegment(A, B) → gIntegral((ℯ^((-λ)) * λ^(x) / gamma(x + 1)), 0, a) → m_{2}If(D10 < 0.05, D10, D5 < 0.05, D5, D4 < 0.05, D4, D3 < 0.05, D3, D2 < 0.05, D2, 0, D9 < 0.05, D9, D8 < 0.05, D8, D7 < 0.05, D7, D6 < 0.05, D6) → c
AI 绘图提示语参考
本图形展示统计假设检验的数学过程与可视化。图中包含p值、积分和线段等关键对象。p值通过求和计算得出,积分用于表示概率密度函数,线段连接相关点。构造顺序为:先计算p值,再计算积分,最后根据条件判断绘制线段。适用于学习统计学原理的初学者,帮助理解假设检验的基本概念和图形表示。
以上提示语为根据原始绘图命令整理而来,仅供参考。