置信区间
几何画板及绘图内容加载中,请稍等……
所属专题
MA336
该范例允许学生选择置信水平,并观察50个简单随机样本及其对应的置信区间。通过观察这些区间是否包含总体均值,学生可以直观理解置信区间的概念。使用了RandomNormal, Mean, Segment, Sequence, If等GeoGebra命令。适合统计学入门学习。
GeoGebra 命令及参数
RandomNormal(μ, σ) → A1RandomNormal(μ, σ) → A2RandomNormal(μ, σ) → A3RandomNormal(μ, σ) → A4RandomNormal(μ, σ) → A5RandomNormal(μ, σ) → A6RandomNormal(μ, σ) → A7RandomNormal(μ, σ) → A8RandomNormal(μ, σ) → A9RandomNormal(μ, σ) → A10RandomNormal(μ, σ) → A11RandomNormal(μ, σ) → A12RandomNormal(μ, σ) → A13RandomNormal(μ, σ) → A14RandomNormal(μ, σ) → A15RandomNormal(μ, σ) → A16RandomNormal(μ, σ) → A17RandomNormal(μ, σ) → A18RandomNormal(μ, σ) → A19RandomNormal(μ, σ) → A20RandomNormal(μ, σ) → A21RandomNormal(μ, σ) → A22RandomNormal(μ, σ) → A23RandomNormal(μ, σ) → A24RandomNormal(μ, σ) → A25RandomNormal(μ, σ) → A26RandomNormal(μ, σ) → A27RandomNormal(μ, σ) → A28RandomNormal(μ, σ) → A29RandomNormal(μ, σ) → A30RandomNormal(μ, σ) → A31RandomNormal(μ, σ) → A32RandomNormal(μ, σ) → A33RandomNormal(μ, σ) → A34RandomNormal(μ, σ) → A35RandomNormal(μ, σ) → A36RandomNormal(μ, σ) → A37RandomNormal(μ, σ) → A38RandomNormal(μ, σ) → A39RandomNormal(μ, σ) → A40RandomNormal(μ, σ) → A41RandomNormal(μ, σ) → A42RandomNormal(μ, σ) → A43RandomNormal(μ, σ) → A44RandomNormal(μ, σ) → A45RandomNormal(μ, σ) → A46RandomNormal(μ, σ) → A47RandomNormal(μ, σ) → A48RandomNormal(μ, σ) → A49RandomNormal(μ, σ) → A50RandomNormal(μ, σ) → B1RandomNormal(μ, σ) → B2RandomNormal(μ, σ) → B3RandomNormal(μ, σ) → B4RandomNormal(μ, σ) → B5RandomNormal(μ, σ) → B6RandomNormal(μ, σ) → B7RandomNormal(μ, σ) → B8RandomNormal(μ, σ) → B9RandomNormal(μ, σ) → B10RandomNormal(μ, σ) → B11RandomNormal(μ, σ) → B12RandomNormal(μ, σ) → B13RandomNormal(μ, σ) → B14RandomNormal(μ, σ) → B15RandomNormal(μ, σ) → B16RandomNormal(μ, σ) → B17RandomNormal(μ, σ) → B18RandomNormal(μ, σ) → B19RandomNormal(μ, σ) → B20RandomNormal(μ, σ) → B21RandomNormal(μ, σ) → B23RandomNormal(μ, σ) → B24RandomNormal(μ, σ) → B25RandomNormal(μ, σ) → B26RandomNormal(μ, σ) → B27RandomNormal(μ, σ) → B28RandomNormal(μ, σ) → B29RandomNormal(μ, σ) → B30RandomNormal(μ, σ) → B22RandomNormal(μ, σ) → B31RandomNormal(μ, σ) → B32RandomNormal(μ, σ) → B33RandomNormal(μ, σ) → B34RandomNormal(μ, σ) → B35RandomNormal(μ, σ) → B36RandomNormal(μ, σ) → B37RandomNormal(μ, σ) → B38RandomNormal(μ, σ) → B39RandomNormal(μ, σ) → B40RandomNormal(μ, σ) → B41RandomNormal(μ, σ) → B42RandomNormal(μ, σ) → B43RandomNormal(μ, σ) → B44RandomNormal(μ, σ) → B45RandomNormal(μ, σ) → B46RandomNormal(μ, σ) → B47RandomNormal(μ, σ) → B48RandomNormal(μ, σ) → B49RandomNormal(μ, σ) → B50Mean(A1:A5) → barX01Mean(A6:A10) → barX02Mean(A11:A15) → barX03Mean(A16:A20) → barX04Mean(A21:A25) → barX05Mean(A26:A30) → barX06Mean(A31:A35) → barX07Mean(A36:A40) → barX08Mean(A41:A45) → barX09Mean(A46:A50) → barX10Mean(B1:B5) → barX11Mean(B6:B10) → barX12Mean(B11:B15) → barX13Mean(B16:B20) → barX14Mean(B21:B25) → barX15Mean(B26:B30) → barX16Mean(B31:B35) → barX17Mean(B36:B40) → barX18Mean(B41:B45) → barX19Mean(B46:B50) → barX20RandomNormal(μ, σ) → C1RandomNormal(μ, σ) → C2RandomNormal(μ, σ) → C3RandomNormal(μ, σ) → C4RandomNormal(μ, σ) → C5RandomNormal(μ, σ) → C6RandomNormal(μ, σ) → C7RandomNormal(μ, σ) → C8RandomNormal(μ, σ) → C9RandomNormal(μ, σ) → C10RandomNormal(μ, σ) → C11RandomNormal(μ, σ) → C12RandomNormal(μ, σ) → C13RandomNormal(μ, σ) → C14RandomNormal(μ, σ) → C15RandomNormal(μ, σ) → C16RandomNormal(μ, σ) → C17RandomNormal(μ, σ) → C18RandomNormal(μ, σ) → C19RandomNormal(μ, σ) → C20RandomNormal(μ, σ) → C21RandomNormal(μ, σ) → C22RandomNormal(μ, σ) → C23RandomNormal(μ, σ) → C24RandomNormal(μ, σ) → C25RandomNormal(μ, σ) → C26RandomNormal(μ, σ) → C27RandomNormal(μ, σ) → C28RandomNormal(μ, σ) → C29RandomNormal(μ, σ) → C30RandomNormal(μ, σ) → C31RandomNormal(μ, σ) → C32RandomNormal(μ, σ) → C33RandomNormal(μ, σ) → C34RandomNormal(μ, σ) → C35RandomNormal(μ, σ) → C36RandomNormal(μ, σ) → C37RandomNormal(μ, σ) → C38RandomNormal(μ, σ) → C39RandomNormal(μ, σ) → C40RandomNormal(μ, σ) → C41RandomNormal(μ, σ) → C42RandomNormal(μ, σ) → C43RandomNormal(μ, σ) → C44RandomNormal(μ, σ) → C45RandomNormal(μ, σ) → C46RandomNormal(μ, σ) → C47RandomNormal(μ, σ) → C48RandomNormal(μ, σ) → C49RandomNormal(μ, σ) → C50RandomNormal(μ, σ) → D1RandomNormal(μ, σ) → D2RandomNormal(μ, σ) → D3RandomNormal(μ, σ) → D4RandomNormal(μ, σ) → D5RandomNormal(μ, σ) → D6RandomNormal(μ, σ) → D7RandomNormal(μ, σ) → D8RandomNormal(μ, σ) → D9RandomNormal(μ, σ) → D10RandomNormal(μ, σ) → D11RandomNormal(μ, σ) → D12RandomNormal(μ, σ) → D13RandomNormal(μ, σ) → D14RandomNormal(μ, σ) → D15RandomNormal(μ, σ) → D16RandomNormal(μ, σ) → D17RandomNormal(μ, σ) → D18RandomNormal(μ, σ) → D19RandomNormal(μ, σ) → D20RandomNormal(μ, σ) → D21RandomNormal(μ, σ) → D22RandomNormal(μ, σ) → D23RandomNormal(μ, σ) → D24RandomNormal(μ, σ) → D25RandomNormal(μ, σ) → D26RandomNormal(μ, σ) → D27RandomNormal(μ, σ) → D28RandomNormal(μ, σ) → D29RandomNormal(μ, σ) → D30RandomNormal(μ, σ) → D31RandomNormal(μ, σ) → D32RandomNormal(μ, σ) → D33RandomNormal(μ, σ) → D34RandomNormal(μ, σ) → D35RandomNormal(μ, σ) → D36RandomNormal(μ, σ) → D37RandomNormal(μ, σ) → D38RandomNormal(μ, σ) → D39RandomNormal(μ, σ) → D40RandomNormal(μ, σ) → D41RandomNormal(μ, σ) → D42RandomNormal(μ, σ) → D43RandomNormal(μ, σ) → D44RandomNormal(μ, σ) → D45RandomNormal(μ, σ) → D46RandomNormal(μ, σ) → D47RandomNormal(μ, σ) → D48RandomNormal(μ, σ) → D49RandomNormal(μ, σ) → D50RandomNormal(μ, σ) → E1RandomNormal(μ, σ) → E2RandomNormal(μ, σ) → E3RandomNormal(μ, σ) → E4RandomNormal(μ, σ) → E5RandomNormal(μ, σ) → E6RandomNormal(μ, σ) → E7RandomNormal(μ, σ) → E8RandomNormal(μ, σ) → E9RandomNormal(μ, σ) → E10RandomNormal(μ, σ) → E11RandomNormal(μ, σ) → E12RandomNormal(μ, σ) → E13RandomNormal(μ, σ) → E14RandomNormal(μ, σ) → E15RandomNormal(μ, σ) → E16RandomNormal(μ, σ) → E17RandomNormal(μ, σ) → E18RandomNormal(μ, σ) → E19RandomNormal(μ, σ) → E20RandomNormal(μ, σ) → E21RandomNormal(μ, σ) → E22RandomNormal(μ, σ) → E23RandomNormal(μ, σ) → E24RandomNormal(μ, σ) → E25RandomNormal(μ, σ) → E26RandomNormal(μ, σ) → E27RandomNormal(μ, σ) → E28RandomNormal(μ, σ) → E29RandomNormal(μ, σ) → E30RandomNormal(μ, σ) → E31RandomNormal(μ, σ) → E32RandomNormal(μ, σ) → E33RandomNormal(μ, σ) → E34RandomNormal(μ, σ) → E35RandomNormal(μ, σ) → E36RandomNormal(μ, σ) → E37RandomNormal(μ, σ) → E38RandomNormal(μ, σ) → E39RandomNormal(μ, σ) → E40RandomNormal(μ, σ) → E41RandomNormal(μ, σ) → E42RandomNormal(μ, σ) → E43RandomNormal(μ, σ) → E44RandomNormal(μ, σ) → E45RandomNormal(μ, σ) → E46RandomNormal(μ, σ) → E47RandomNormal(μ, σ) → E48RandomNormal(μ, σ) → E49RandomNormal(μ, σ) → E50Mean(C1:C5) → barX21Mean(C6:C10) → barX22Mean(C11:C15) → barX23Mean(C16:C20) → barX24Mean(C21:C25) → barX25Mean(C26:C30) → barX26Mean(C31:C35) → barX27Mean(C36:C40) → barX28Mean(C41:C45) → barX29Mean(C46:C50) → barX30Mean(D1:D5) → barX31Mean(D6:D10) → barX32Mean(D11:D15) → barX33Mean(D16:D20) → barX34Mean(D21:D25) → barX35Mean(D26:D30) → barX36Mean(D31:D35) → barX37Mean(D36:D40) → barX38Mean(D41:D45) → barX39Mean(D46:D50) → barX40Mean(E1:E5) → barX41Mean(E6:E10) → barX42Mean(E11:E15) → barX43Mean(E16:E20) → barX44Mean(E21:E25) → barX45Mean(E26:E30) → barX46Mean(E31:E35) → barX47Mean(E36:E40) → barX48Mean(E41:E45) → barX49Mean(E46:E50) → barX50Segment((-4, 0), (4, 0)) → aSequence(Segment[(i, (-1 * 0.025)), (i, 0.025)], i, -3, 3) → list1If(i ≟ 1, (1.282 * σ / sqrt(5)), If[i ≟ 2, (1.645 * σ / sqrt(5)), If[i ≟ 3, (1.96 * σ / sqrt(5)), (2.576 * σ / sqrt(5))]]) → dist95Segment((barX01 - dist95, (-0.11)), (barX01 + dist95, (-0.11))) → l01bSegment((barX02 - dist95, (-0.13)), (barX02 + dist95, (-0.13))) → l02bSegment((barX03 - dist95, (-0.15)), (barX03 + dist95, (-0.15))) → l03bSegment((barX04 - dist95, (-0.17)), (barX04 + dist95, (-0.17))) → l04bSegment((barX05 - dist95, (-0.19)), (barX05 + dist95, (-0.19))) → l05bSegment((barX06 - dist95, (-0.21)), (barX06 + dist95, (-0.21))) → l06bSegment((barX07 - dist95, (-0.23)), (barX07 + dist95, (-0.23))) → l07bSegment((barX08 - dist95, (-0.25)), (barX08 + dist95, (-0.25))) → l08bSegment((barX09 - dist95, (-0.27)), (barX09 + dist95, (-0.27))) → l09bSegment((barX10 - dist95, (-0.29)), (barX10 + dist95, (-0.29))) → l10bSegment((barX11 - dist95, (-0.31)), (barX11 + dist95, (-0.31))) → l11bSegment((barX12 - dist95, (-0.33)), (barX12 + dist95, (-0.33))) → l12bSegment((barX13 - dist95, (-0.35)), (barX13 + dist95, (-0.35))) → l13bSegment((barX14 - dist95, (-0.37)), (barX14 + dist95, (-0.37))) → l14bSegment((barX15 - dist95, (-0.39)), (barX15 + dist95, (-0.39))) → l15bSegment((barX16 - dist95, (-0.41)), (barX16 + dist95, (-0.41))) → l16bSegment((barX17 - dist95, (-0.43)), (barX17 + dist95, (-0.43))) → l17bSegment((barX18 - dist95, (-0.45)), (barX18 + dist95, (-0.45))) → l18bSegment((barX19 - dist95, (-0.47)), (barX19 + dist95, (-0.47))) → l19bSegment((barX20 - dist95, (-0.49)), (barX20 + dist95, (-0.49))) → l20bSegment((barX21 - dist95, (-0.51)), (barX21 + dist95, (-0.51))) → l21bSegment((barX23 - dist95, (-0.55)), (barX23 + dist95, (-0.55))) → l23bSegment((barX22 - dist95, (-0.53)), (barX22 + dist95, (-0.53))) → l22bSegment((barX24 - dist95, (-0.57)), (barX24 + dist95, (-0.57))) → l24bSegment((barX25 - dist95, (-0.59)), (barX25 + dist95, (-0.59))) → l25bSegment((barX26 - dist95, (-0.61)), (barX26 + dist95, (-0.61))) → l26bSegment((barX27 - dist95, (-0.63)), (barX27 + dist95, (-0.63))) → l27bSegment((barX28 - dist95, (-0.65)), (barX28 + dist95, (-0.65))) → l28bSegment((barX29 - dist95, (-0.67)), (barX29 + dist95, (-0.67))) → l29bSegment((barX30 - dist95, (-0.69)), (barX30 + dist95, (-0.69))) → l30bSegment((barX31 - dist95, (-0.71)), (barX31 + dist95, (-0.71))) → l31bSegment((barX32 - dist95, (-0.73)), (barX32 + dist95, (-0.73))) → l32bSegment((barX33 - dist95, (-0.75)), (barX33 + dist95, (-0.75))) → l33rSegment((barX34 - dist95, (-0.77)), (barX34 + dist95, (-0.77))) → l34bSegment((barX35 - dist95, (-0.79)), (barX35 + dist95, (-0.79))) → l35bSegment((barX36 - dist95, (-0.81)), (barX36 + dist95, (-0.81))) → l36bSegment((barX37 - dist95, (-0.83)), (barX37 + dist95, (-0.83))) → l37bSegment((barX38 - dist95, (-0.85)), (barX38 + dist95, (-0.85))) → l38bSegment((barX39 - dist95, (-0.87)), (barX39 + dist95, (-0.87))) → l39bSegment((barX40 - dist95, (-0.89)), (barX40 + dist95, (-0.89))) → l40bSegment((barX41 - dist95, (-0.91)), (barX41 + dist95, (-0.91))) → l41bSegment((barX42 - dist95, (-0.93)), (barX42 + dist95, (-0.93))) → l42bSegment((barX43 - dist95, (-0.95)), (barX43 + dist95, (-0.95))) → l43bSegment((barX44 - dist95, (-0.97)), (barX44 + dist95, (-0.97))) → l44bSegment((barX45 - dist95, (-0.99)), (barX45 + dist95, (-0.99))) → l45bSegment((barX46 - dist95, (-1.01)), (barX46 + dist95, (-1.01))) → l46bSegment((barX47 - dist95, (-1.03)), (barX47 + dist95, (-1.03))) → l47bSegment((barX48 - dist95, (-1.05)), (barX48 + dist95, (-1.05))) → l48bSegment((barX49 - dist95, (-1.07)), (barX49 + dist95, (-1.07))) → l49bSegment((barX50 - dist95, (-1.09)), (barX50 + dist95, (-1.09))) → l50bSegment((0, -0.09), (0, -1.11)) → cSegment((barX33 - dist95, (-0.75)), (barX33 + dist95, (-0.75))) → l33bSegment((barX01 - dist95, (-0.11)), (barX01 + dist95, (-0.11))) → l01rSegment((barX02 - dist95, (-0.13)), (barX02 + dist95, (-0.13))) → l02rSegment((barX03 - dist95, (-0.15)), (barX03 + dist95, (-0.15))) → l03rSegment((barX04 - dist95, (-0.17)), (barX04 + dist95, (-0.17))) → l04rSegment((barX05 - dist95, (-0.19)), (barX05 + dist95, (-0.19))) → l05rSegment((barX06 - dist95, (-0.21)), (barX06 + dist95, (-0.21))) → l06rSegment((barX07 - dist95, (-0.23)), (barX07 + dist95, (-0.23))) → l07rSegment((barX08 - dist95, (-0.25)), (barX08 + dist95, (-0.25))) → l08rSegment((barX09 - dist95, (-0.27)), (barX09 + dist95, (-0.27))) → l09rSegment((barX10 - dist95, (-0.29)), (barX10 + dist95, (-0.29))) → l10rSegment((barX11 - dist95, (-0.31)), (barX11 + dist95, (-0.31))) → l11rSegment((barX12 - dist95, (-0.33)), (barX12 + dist95, (-0.33))) → l12rSegment((barX13 - dist95, (-0.35)), (barX13 + dist95, (-0.35))) → l13rSegment((barX14 - dist95, (-0.37)), (barX14 + dist95, (-0.37))) → l14rSegment((barX15 - dist95, (-0.39)), (barX15 + dist95, (-0.39))) → l15rSegment((barX16 - dist95, (-0.41)), (barX16 + dist95, (-0.41))) → l16rSegment((barX17 - dist95, (-0.43)), (barX17 + dist95, (-0.43))) → l17rSegment((barX18 - dist95, (-0.45)), (barX18 + dist95, (-0.45))) → l18rSegment((barX19 - dist95, (-0.47)), (barX19 + dist95, (-0.47))) → l19rSegment((barX20 - dist95, (-0.49)), (barX20 + dist95, (-0.49))) → l20rSegment((barX21 - dist95, (-0.51)), (barX21 + dist95, (-0.51))) → l21rSegment((barX22 - dist95, (-0.53)), (barX22 + dist95, (-0.53))) → l22rSegment((barX23 - dist95, (-0.55)), (barX23 + dist95, (-0.55))) → l23rSegment((barX24 - dist95, (-0.57)), (barX24 + dist95, (-0.57))) → l24rSegment((barX25 - dist95, (-0.59)), (barX25 + dist95, (-0.59))) → l25rSegment((barX26 - dist95, (-0.61)), (barX26 + dist95, (-0.61))) → l26rSegment((barX27 - dist95, (-0.63)), (barX27 + dist95, (-0.63))) → l27rSegment((barX28 - dist95, (-0.65)), (barX28 + dist95, (-0.65))) → l28rSegment((barX29 - dist95, (-0.67)), (barX29 + dist95, (-0.67))) → l29rSegment((barX30 - dist95, (-0.69)), (barX30 + dist95, (-0.69))) → l30rSegment((barX31 - dist95, (-0.71)), (barX31 + dist95, (-0.71))) → l31rSegment((barX32 - dist95, (-0.73)), (barX32 + dist95, (-0.73))) → l32rSegment((barX34 - dist95, (-0.77)), (barX34 + dist95, (-0.77))) → l34rSegment((barX35 - dist95, (-0.79)), (barX35 + dist95, (-0.79))) → l35rSegment((barX36 - dist95, (-0.81)), (barX36 + dist95, (-0.81))) → l36rSegment((barX37 - dist95, (-0.83)), (barX37 + dist95, (-0.83))) → l37rSegment((barX38 - dist95, (-0.85)), (barX38 + dist95, (-0.85))) → l38rSegment((barX39 - dist95, (-0.87)), (barX39 + dist95, (-0.87))) → l39rSegment((barX40 - dist95, (-0.89)), (barX40 + dist95, (-0.89))) → l40rSegment((barX41 - dist95, (-0.91)), (barX41 + dist95, (-0.91))) → l41rSegment((barX42 - dist95, (-0.93)), (barX42 + dist95, (-0.93))) → l42rSegment((barX43 - dist95, (-0.95)), (barX43 + dist95, (-0.95))) → l43rSegment((barX44 - dist95, (-0.97)), (barX44 + dist95, (-0.97))) → l44rSegment((barX45 - dist95, (-0.99)), (barX45 + dist95, (-0.99))) → l45rSegment((barX46 - dist95, (-1.01)), (barX46 + dist95, (-1.01))) → l46rSegment((barX47 - dist95, (-1.03)), (barX47 + dist95, (-1.03))) → l47rSegment((barX48 - dist95, (-1.05)), (barX48 + dist95, (-1.05))) → l48rSegment((barX49 - dist95, (-1.07)), (barX49 + dist95, (-1.07))) → l49rSegment((barX50 - dist95, (-1.09)), (barX50 + dist95, (-1.09))) → l50rSegment((0, 0), (0, g(0))) → b