置信区间可视化
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①本范例通过动态生成样本并展示其置信区间,直观演示置信区间的概念;②涉及核心数学概念包括置信区间、样本均值、正态分布;③构造中运用了Sum, Segment, Sequence, Frequency, FrequencyTable, mean, InverseNormal, LaTeX, Midpoint, TableText等GeoGebra命令与对象;④适合高中及以上学生及统计学初学者学习概率统计知识。
GeoGebra 命令及参数
Sum(B2:I2) → J2Sum(B3:I3) → J3Segment((μ, -1), (μ, 1)) → fSequence(RandomDiscrete[xValues, probabilities], k, 1, n) → RandomSampleFrequency(RandomSample) → FrequenciesfromRandomSampleFrequencyTable(RandomSample) → text3mean(RandomSample) → SampleMeanInverseNormal(0, 1, (1 + p_1) / 2) → kSum(B6:I6) → J6LaTeX(μ, true, true) → text7LaTeX(σ, true, true) → text8Segment((LowerBound, 0), (UpperBound, 0)) → ConfidenceIntervalMidpoint(ConfidenceInterval) → BTableText({{A1, B1, C1, D1, E1, F1, G1, H1, I1}, {A2, B2, C2, D2, E2, F2, G2, H2, I2}}, "vc|_cllllllll") → text1