总体均值假设检验

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2017-11-11 00:01

概率统计函数图像

本范例演示了总体均值假设检验的图形化过程。涉及的核心数学概念包括统计推断、假设检验、样本均值、标准差和p值计算。构造过程中运用了GeoGebra命令如Sequence（数列）、Element（元素）、Mod（模运算）、If（条件判断）、Min（最小值）等，以及对象如CnfSq（条件平方）、OpSq2（操作平方）、Seed（种子）、Op2（操作2）等，适合高中及以上数学学习者理解假设检验原理和操作步骤。

GeoGebra 命令及参数

Sequence(Mod[5 + (17 * k), 40] + 1, k, 1, 40) → OpSq2, {23, 40, 17, 34, 11, 28, 5, 22, 39, 16, 33, 10, 27, 4, 21, 38, 15, 32, 9, 26, 3, 20, 37, 14, 31, 8, 25, 2, 19, 36, 13, 30, 7, 24, 1, 18, 35, 12, 29, 6}
Element(OpSq2, Seed) → Op2
Mod(Op2, 8) → Ch3
Sequence(Mod[3 + (23 * k), 40] + 1, k, 1, 40) → OpSq1, {27, 10, 33, 16, 39, 22, 5, 28, 11, 34, 17, 40, 23, 6, 29, 12, 35, 18, 1, 24, 7, 30, 13, 36, 19, 2, 25, 8, 31, 14, 37, 20, 3, 26, 9, 32, 15, 38, 21, 4}
Element(OpSq1, Seed) → Op1
Element(CnfSq, Mod[Op1, 4] + 1) → Cnf
Sequence(Mod[6 + (19 * k), 40] + 1, k, 1, 40) → OpSq3, {26, 5, 24, 3, 22, 1, 20, 39, 18, 37, 16, 35, 14, 33, 12, 31, 10, 29, 8, 27, 6, 25, 4, 23, 2, 21, 40, 19, 38, 17, 36, 15, 34, 13, 32, 11, 30, 9, 28, 7}
Element(OpSq3, Seed) → Op3
Mod(Op3, 2) → Ch2
Element(SzSq, Mod[Seed, 6] + 1) → Size
Element(PrbSq, Ch3 + 1) → TstPrb
If(Ch3 < 4, -1, 1) → DrNmb
Element(XbrSq, Mod[Seed, 6] + 1) → Xbr
Element(StDvSq, Mod[Seed, 6] + 1) → StDv
Element(AcSq, Mod[Seed, 6] + 1) → Acc
If(DrNmb ≟ -1, μ2, μ1) → μ0
Min(PVLT, PVGT) → PVHlf
If(PVHlf < 0.00010, " ", PVEQ) → PVCmp2
If(PVHlf < 0.00010, "< 0.0002", ("= " * PVEQ)) → PVCmp1
If(Ch3 < 2, PVLT, If[Ch3 > 5, PVGT, PVEQ]) → PV
If(PV < 0.00010, "< 0.0002", ("= " * PV)) → PVTx
If(Ch3 < 2, "less than", If[Ch3 > 5, "greater than", "not equal to"]) → IETx
If(Ch3 < 2, "<", If[Ch3 > 5, ">", "≠"]) → IE1
If(Ch3 < 2, "≥", If[Ch3 > 5, "≤", "="]) → IE0
If(Ch3 < 2, "left-tailed", If[Ch3 > 5, "right-tailed", "two-tailed"]) → TstTyp
If(Ch3 < 2, PVLTtxt, If[Ch3 > 5, PVGTtxt, PVEQtxt]) → PVCcl
If(PV < α, "<", "≥") → DcSgn
If(PV < α, "is strong", "is not strong") → DcTx
If(PV < α, "is", "is not") → DcEv
If(μ0 < 0, (("(" * μ0) * ")"), μ0) → MuTx
Element(PSSq, Mod[Seed, 6] + 1) → PS0