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",[569,1782,1784,1804],{"className":1783},[572],[569,1785,1787],{"className":1786},[576],[578,1788,1789],{"xmlns":580},[582,1790,1791,1801],{},[585,1792,1793,1796,1798],{},[595,1794,1795],{},"95",[1321,1797,1323],{},[591,1799,1800],{"mathvariant":993},"%",[616,1802,1803],{"encoding":618},"95\\,\\%",[569,1805,1807],{"className":1806,"ariaHidden":601},[623],[569,1808,1810,1814,1817,1820],{"className":1809},[627],[569,1811],{"className":1812,"style":1813},[631],"height:0.8056em;vertical-align:-0.0556em;",[569,1815,1795],{"className":1816},[636],[569,1818],{"className":1819,"style":699},[698],[569,1821,1800],{"className":1822},[636],").",[1546,1825,1826,1858,1859,1913],{},[945,1827,1828,1829,1857],{},"Daten nicht normalverteilt, ",[569,1830,1832,1845],{"className":1831},[572],[569,1833,1835],{"className":1834},[576],[578,1836,1837],{"xmlns":580},[582,1838,1839,1843],{},[585,1840,1841],{},[591,1842,614],{},[616,1844,614],{"encoding":618},[569,1846,1848],{"className":1847,"ariaHidden":601},[623],[569,1849,1851,1854],{"className":1850},[627],[569,1852],{"className":1853,"style":938},[631],[569,1855,614],{"className":1856},[636,640]," groß"," (Faustregel ",[569,1860,1862,1882],{"className":1861},[572],[569,1863,1865],{"className":1864},[576],[578,1866,1867],{"xmlns":580},[582,1868,1869,1879],{},[585,1870,1871,1873,1876],{},[591,1872,614],{},[599,1874,1875],{},"≥",[595,1877,1878],{},"30",[616,1880,1881],{"encoding":618},"n \\geq 30",[569,1883,1885,1904],{"className":1884,"ariaHidden":601},[623],[569,1886,1888,1892,1895,1898,1901],{"className":1887},[627],[569,1889],{"className":1890,"style":1891},[631],"height:0.7719em;vertical-align:-0.136em;",[569,1893,614],{"className":1894},[636,640],[569,1896],{"className":1897,"style":1020},[698],[569,1899,1875],{"className":1900},[1024],[569,1902],{"className":1903,"style":1020},[698],[569,1905,1907,1910],{"className":1906},[627],[569,1908],{"className":1909,"style":1269},[631],[569,1911,1878],{"className":1912},[636],"): Nach dem zentralen Grenzwertsatz gilt das Intervall näherungsweise.",[565,1915,1916,1917,2065],{},"Die Breite des Intervalls schrumpft mit ",[569,1918,1920,1940],{"className":1919},[572],[569,1921,1923],{"className":1922},[576],[578,1924,1925],{"xmlns":580},[582,1926,1927,1937],{},[585,1928,1929],{},[971,1930,1931,1933],{},[595,1932,597],{},[996,1934,1935],{},[591,1936,614],{},[616,1938,1939],{"encoding":618},"\\frac{1}{\\sqrt{n}}",[569,1941,1943],{"className":1942,"ariaHidden":601},[623],[569,1944,1946,1950],{"className":1945},[627],[569,1947],{"className":1948,"style":1949},[631],"height:1.3831em;vertical-align:-0.538em;",[569,1951,1953,1956,2062],{"className":1952},[636],[569,1954],{"className":1955},[1041,1042],[569,1957,1959],{"className":1958},[971],[569,1960,1962,2053],{"className":1961},[648,649],[569,1963,1965,2050],{"className":1964},[653],[569,1966,1969,2027,2035],{"className":1967,"style":1968},[657],"height:0.8451em;",[569,1970,1971,1974],{"style":1058},[569,1972],{"className":1973,"style":838},[665],[569,1975,1977],{"className":1976},[670,671,672,673],[569,1978,1980],{"className":1979},[636,673],[569,1981,1983],{"className":1982},[636,1078,673],[569,1984,1986,2019],{"className":1985},[648,649],[569,1987,1989,2016],{"className":1988},[653],[569,1990,1992,2004],{"className":1991,"style":1088},[657],[569,1993,1995,1998],{"className":1994,"style":834},[1092],[569,1996],{"className":1997,"style":838},[665],[569,1999,2001],{"className":2000,"style":1099},[636,673],[569,2002,614],{"className":2003},[636,640,673],[569,2005,2006,2009],{"style":1105},[569,2007],{"className":2008,"style":838},[665],[569,2010,2012],{"className":2011,"style":1113},[1112,673],[1115,2013,2014],{"xmlns":1117,"width":1118,"height":1119,"viewBox":1120,"preserveAspectRatio":1121},[1123,2015],{"d":1125},[569,2017,681],{"className":2018},[680],[569,2020,2022],{"className":2021},[653],[569,2023,2025],{"className":2024,"style":1135},[657],[569,2026],{},[569,2028,2029,2032],{"style":1140},[569,2030],{"className":2031,"style":838},[665],[569,2033],{"className":2034,"style":1148},[1147],[569,2036,2038,2041],{"style":2037},"top:-3.394em;",[569,2039],{"className":2040,"style":838},[665],[569,2042,2044],{"className":2043},[670,671,672,673],[569,2045,2047],{"className":2046},[636,673],[569,2048,597],{"className":2049},[636,673],[569,2051,681],{"className":2052},[680],[569,2054,2056],{"className":2055},[653],[569,2057,2060],{"className":2058,"style":2059},[657],"height:0.538em;",[569,2061],{},[569,2063],{"className":2064},[1218,1042]," und wächst mit dem Konfidenzniveau.",[560,2067,2069],{"id":2068},"beispiele","Beispiele",[565,2071,2072,2073,2125,2126,2225,2226,2291,2292,2330,2331,2469],{},"Eine Abfüllanlage wird geprüft: ",[569,2074,2076,2095],{"className":2075},[572],[569,2077,2079],{"className":2078},[576],[578,2080,2081],{"xmlns":580},[582,2082,2083,2092],{},[585,2084,2085,2087,2089],{},[591,2086,614],{},[599,2088,969],{},[595,2090,2091],{},"10",[616,2093,2094],{"encoding":618},"n = 10",[569,2096,2098,2116],{"className":2097,"ariaHidden":601},[623],[569,2099,2101,2104,2107,2110,2113],{"className":2100},[627],[569,2102],{"className":2103,"style":938},[631],[569,2105,614],{"className":2106},[636,640],[569,2108],{"className":2109,"style":1020},[698],[569,2111,969],{"className":2112},[1024],[569,2114],{"className":2115,"style":1020},[698],[569,2117,2119,2122],{"className":2118},[627],[569,2120],{"className":2121,"style":1269},[631],[569,2123,2091],{"className":2124},[636]," Packungen, Mittelwert ",[569,2127,2129,2157],{"className":2128},[572],[569,2130,2132],{"className":2131},[576],[578,2133,2134],{"xmlns":580},[582,2135,2136,2154],{},[585,2137,2138,2144,2146,2149,2151],{},[799,2139,2140,2142],{"accent":601},[591,2141,593],{},[599,2143,805],{},[599,2145,969],{},[595,2147,2148],{},"502",[1321,2150,1323],{},[1321,2152,2153],{},"g",[616,2155,2156],{"encoding":618},"\\bar{x} = 502\\,\\text{g}",[569,2158,2160,2206],{"className":2159,"ariaHidden":601},[623],[569,2161,2163,2166,2197,2200,2203],{"className":2162},[627],[569,2164],{"className":2165,"style":818},[631],[569,2167,2169],{"className":2168},[636,822],[569,2170,2172],{"className":2171},[648],[569,2173,2175],{"className":2174},[653],[569,2176,2178,2186],{"className":2177,"style":818},[657],[569,2179,2180,2183],{"style":834},[569,2181],{"className":2182,"style":838},[665],[569,2184,593],{"className":2185},[636,640],[569,2187,2188,2191],{"style":834},[569,2189],{"className":2190,"style":838},[665],[569,2192,2194],{"className":2193,"style":851},[850],[569,2195,805],{"className":2196},[636],[569,2198],{"className":2199,"style":1020},[698],[569,2201,969],{"className":2202},[1024],[569,2204],{"className":2205,"style":1020},[698],[569,2207,2209,2212,2215,2218],{"className":2208},[627],[569,2210],{"className":2211,"style":1766},[631],[569,2213,2148],{"className":2214},[636],[569,2216],{"className":2217,"style":699},[698],[569,2219,2222],{"className":2220},[636,2221],"text",[569,2223,2153],{"className":2224},[636],", Standardabweichung ",[569,2227,2229,2252],{"className":2228},[572],[569,2230,2232],{"className":2231},[576],[578,2233,2234],{"xmlns":580},[582,2235,2236,2249],{},[585,2237,2238,2240,2242,2245,2247],{},[591,2239,1597],{},[599,2241,969],{},[595,2243,2244],{},"4",[1321,2246,1323],{},[1321,2248,2153],{},[616,2250,2251],{"encoding":618},"s = 4\\,\\text{g}",[569,2253,2255,2273],{"className":2254,"ariaHidden":601},[623],[569,2256,2258,2261,2264,2267,2270],{"className":2257},[627],[569,2259],{"className":2260,"style":938},[631],[569,2262,1597],{"className":2263},[636,640],[569,2265],{"className":2266,"style":1020},[698],[569,2268,969],{"className":2269},[1024],[569,2271],{"className":2272,"style":1020},[698],[569,2274,2276,2279,2282,2285],{"className":2275},[627],[569,2277],{"className":2278,"style":1766},[631],[569,2280,2244],{"className":2281},[636],[569,2283],{"className":2284,"style":699},[698],[569,2286,2288],{"className":2287},[636,2221],[569,2289,2153],{"className":2290},[636],". Für ",[569,2293,2295,2312],{"className":2294},[572],[569,2296,2298],{"className":2297},[576],[578,2299,2300],{"xmlns":580},[582,2301,2302,2310],{},[585,2303,2304,2306,2308],{},[595,2305,1795],{},[1321,2307,1323],{},[591,2309,1800],{"mathvariant":993},[616,2311,1803],{"encoding":618},[569,2313,2315],{"className":2314,"ariaHidden":601},[623],[569,2316,2318,2321,2324,2327],{"className":2317},[627],[569,2319],{"className":2320,"style":1813},[631],[569,2322,1795],{"className":2323},[636],[569,2325],{"className":2326,"style":699},[698],[569,2328,1800],{"className":2329},[636]," ist ",[569,2332,2334,2367],{"className":2333},[572],[569,2335,2337],{"className":2336},[576],[578,2338,2339],{"xmlns":580},[582,2340,2341,2364],{},[585,2342,2343,2359,2361],{},[588,2344,2345,2347],{},[591,2346,1308],{},[585,2348,2349,2352,2354,2356],{},[595,2350,2351],{},"9",[599,2353,1319],{"separator":601},[1321,2355,1323],{},[595,2357,2358],{},"0,975",[599,2360,969],{},[595,2362,2363],{},"2,262",[616,2365,2366],{"encoding":618},"t_{9;\\,0{,}975} = 2{,}262",[569,2368,2370,2450],{"className":2369,"ariaHidden":601},[623],[569,2371,2373,2377,2441,2444,2447],{"className":2372},[627],[569,2374],{"className":2375,"style":2376},[631],"height:0.9012em;vertical-align:-0.2861em;",[569,2378,2380,2383],{"className":2379},[636],[569,2381,1308],{"className":2382},[636,640],[569,2384,2386],{"className":2385},[644],[569,2387,2389,2432],{"className":2388},[648,649],[569,2390,2392,2429],{"className":2391},[653],[569,2393,2395],{"className":2394,"style":658},[657],[569,2396,2397,2400],{"style":661},[569,2398],{"className":2399,"style":666},[665],[569,2401,2403],{"className":2402},[670,671,672,673],[569,2404,2406,2409,2412,2415,2419,2425],{"className":2405},[636,673],[569,2407,2351],{"className":2408},[636,673],[569,2410,1319],{"className":2411},[694,673],[569,2413],{"className":2414,"style":1441},[698,673],[569,2416,2418],{"className":2417},[636,673],"0",[569,2420,2422],{"className":2421},[636,673],[569,2423,602],{"className":2424},[694,673],[569,2426,2428],{"className":2427},[636,673],"975",[569,2430,681],{"className":2431},[680],[569,2433,2435],{"className":2434},[653],[569,2436,2439],{"className":2437,"style":2438},[657],"height:0.2861em;",[569,2440],{},[569,2442],{"className":2443,"style":1020},[698],[569,2445,969],{"className":2446},[1024],[569,2448],{"className":2449,"style":1020},[698],[569,2451,2453,2456,2459,2465],{"className":2452},[627],[569,2454],{"className":2455,"style":1766},[631],[569,2457,1334],{"className":2458},[636],[569,2460,2462],{"className":2461},[636],[569,2463,602],{"className":2464},[694],[569,2466,2468],{"className":2467},[636],"262",":",[569,2471,2474],{"className":2472},[2473],"katex-display",[569,2475,2477,2509],{"className":2476},[572],[569,2478,2480],{"className":2479},[576],[578,2481,2483],{"xmlns":580,"display":2482},"block",[582,2484,2485,2506],{},[585,2486,2487,2489,2492,2500,2503],{},[595,2488,2363],{},[599,2490,2491],{},"⋅",[971,2493,2494,2496],{},[595,2495,2244],{},[996,2497,2498],{},[595,2499,2091],{},[599,2501,2502],{},"≈",[595,2504,2505],{},"2,86",[616,2507,2508],{"encoding":618},"2{,}262 \\cdot \\frac{4}{\\sqrt{10}} \\approx 2{,}86",[569,2510,2512,2539,2668],{"className":2511,"ariaHidden":601},[623],[569,2513,2515,2518,2521,2527,2530,2533,2536],{"className":2514},[627],[569,2516],{"className":2517,"style":1766},[631],[569,2519,1334],{"className":2520},[636],[569,2522,2524],{"className":2523},[636],[569,2525,602],{"className":2526},[694],[569,2528,2468],{"className":2529},[636],[569,2531],{"className":2532,"style":924},[698],[569,2534,2491],{"className":2535},[928],[569,2537],{"className":2538,"style":924},[698],[569,2540,2542,2546,2659,2662,2665],{"className":2541},[627],[569,2543],{"className":2544,"style":2545},[631],"height:2.2514em;vertical-align:-0.93em;",[569,2547,2549,2552,2656],{"className":2548},[636],[569,2550],{"className":2551},[1041,1042],[569,2553,2555],{"className":2554},[971],[569,2556,2558,2647],{"className":2557},[648,649],[569,2559,2561,2644],{"className":2560},[653],[569,2562,2565,2624,2632],{"className":2563,"style":2564},[657],"height:1.3214em;",[569,2566,2568,2571],{"style":2567},"top:-2.2028em;",[569,2569],{"className":2570,"style":838},[665],[569,2572,2574],{"className":2573},[636],[569,2575,2577],{"className":2576},[636,1078],[569,2578,2580,2615],{"className":2579},[648,649],[569,2581,2583,2612],{"className":2582},[653],[569,2584,2587,2599],{"className":2585,"style":2586},[657],"height:0.9072em;",[569,2588,2590,2593],{"className":2589,"style":834},[1092],[569,2591],{"className":2592,"style":838},[665],[569,2594,2596],{"className":2595,"style":1099},[636],[569,2597,2091],{"className":2598},[636],[569,2600,2602,2605],{"style":2601},"top:-2.8672em;",[569,2603],{"className":2604,"style":838},[665],[569,2606,2608],{"className":2607,"style":1113},[1112],[1115,2609,2610],{"xmlns":1117,"width":1118,"height":1119,"viewBox":1120,"preserveAspectRatio":1121},[1123,2611],{"d":1125},[569,2613,681],{"className":2614},[680],[569,2616,2618],{"className":2617},[653],[569,2619,2622],{"className":2620,"style":2621},[657],"height:0.1328em;",[569,2623],{},[569,2625,2626,2629],{"style":1140},[569,2627],{"className":2628,"style":838},[665],[569,2630],{"className":2631,"style":1148},[1147],[569,2633,2635,2638],{"style":2634},"top:-3.677em;",[569,2636],{"className":2637,"style":838},[665],[569,2639,2641],{"className":2640},[636],[569,2642,2244],{"className":2643},[636],[569,2645,681],{"className":2646},[680],[569,2648,2650],{"className":2649},[653],[569,2651,2654],{"className":2652,"style":2653},[657],"height:0.93em;",[569,2655],{},[569,2657],{"className":2658},[1218,1042],[569,2660],{"className":2661,"style":1020},[698],[569,2663,2502],{"className":2664},[1024],[569,2666],{"className":2667,"style":1020},[698],[569,2669,2671,2674,2677,2683],{"className":2670},[627],[569,2672],{"className":2673,"style":1766},[631],[569,2675,1334],{"className":2676},[636],[569,2678,2680],{"className":2679},[636],[569,2681,602],{"className":2682},[694],[569,2684,2686],{"className":2685},[636],"86",[569,2688,2690],{"className":2689},[2473],[569,2691,2693,2756],{"className":2692},[572],[569,2694,2696],{"className":2695},[576],[578,2697,2698],{"xmlns":580,"display":2482},[582,2699,2700,2753],{},[585,2701,2702,2705,2707,2709,2711,2713,2715,2718,2720,2723,2725,2727,2730,2732,2734,2736,2739,2741,2743,2746,2748,2750],{},[599,2703,2704],{"stretchy":1291},"[",[1321,2706,1323],{},[595,2708,2148],{},[599,2710,901],{},[595,2712,2505],{},[599,2714,1319],{"separator":601},[1321,2716,2717],{}," ",[595,2719,2148],{},[599,2721,2722],{},"+",[595,2724,2505],{},[1321,2726,1323],{},[599,2728,2729],{"stretchy":1291},"]",[599,2731,2502],{},[599,2733,2704],{"stretchy":1291},[1321,2735,1323],{},[595,2737,2738],{},"499,14",[599,2740,1319],{"separator":601},[1321,2742,2717],{},[595,2744,2745],{},"504,86",[1321,2747,1323],{},[599,2749,2729],{"stretchy":1291},[1321,2751,2752],{}," g",[616,2754,2755],{"encoding":618},"[\\,502 - 2{,}86;\\ 502 + 2{,}86\\,] \\approx [\\,499{,}14;\\ 504{,}86\\,]\\ \\text{g}",[569,2757,2759,2784,2823,2856],{"className":2758,"ariaHidden":601},[623],[569,2760,2762,2766,2769,2772,2775,2778,2781],{"className":2761},[627],[569,2763],{"className":2764,"style":2765},[631],"height:1em;vertical-align:-0.25em;",[569,2767,2704],{"className":2768},[1041],[569,2770],{"className":2771,"style":699},[698],[569,2773,2148],{"className":2774},[636],[569,2776],{"className":2777,"style":924},[698],[569,2779,901],{"className":2780},[928],[569,2782],{"className":2783,"style":924},[698],[569,2785,2787,2790,2793,2799,2802,2805,2808,2811,2814,2817,2820],{"className":2786},[627],[569,2788],{"className":2789,"style":1766},[631],[569,2791,1334],{"className":2792},[636],[569,2794,2796],{"className":2795},[636],[569,2797,602],{"className":2798},[694],[569,2800,2686],{"className":2801},[636],[569,2803,1319],{"className":2804},[694],[569,2806,2717],{"className":2807},[698],[569,2809],{"className":2810,"style":699},[698],[569,2812,2148],{"className":2813},[636],[569,2815],{"className":2816,"style":924},[698],[569,2818,2722],{"className":2819},[928],[569,2821],{"className":2822,"style":924},[698],[569,2824,2826,2829,2832,2838,2841,2844,2847,2850,2853],{"className":2825},[627],[569,2827],{"className":2828,"style":2765},[631],[569,2830,1334],{"className":2831},[636],[569,2833,2835],{"className":2834},[636],[569,2836,602],{"className":2837},[694],[569,2839,2686],{"className":2840},[636],[569,2842],{"className":2843,"style":699},[698],[569,2845,2729],{"className":2846},[1218],[569,2848],{"className":2849,"style":1020},[698],[569,2851,2502],{"className":2852},[1024],[569,2854],{"className":2855,"style":1020},[698],[569,2857,2859,2862,2865,2868,2872,2878,2882,2885,2888,2891,2895,2901,2904,2907,2910,2913],{"className":2858},[627],[569,2860],{"className":2861,"style":2765},[631],[569,2863,2704],{"className":2864},[1041],[569,2866],{"className":2867,"style":699},[698],[569,2869,2871],{"className":2870},[636],"499",[569,2873,2875],{"className":2874},[636],[569,2876,602],{"className":2877},[694],[569,2879,2881],{"className":2880},[636],"14",[569,2883,1319],{"className":2884},[694],[569,2886,2717],{"className":2887},[698],[569,2889],{"className":2890,"style":699},[698],[569,2892,2894],{"className":2893},[636],"504",[569,2896,2898],{"className":2897},[636],[569,2899,602],{"className":2900},[694],[569,2902,2686],{"className":2903},[636],[569,2905],{"className":2906,"style":699},[698],[569,2908,2729],{"className":2909},[1218],[569,2911,2717],{"className":2912},[698],[569,2914,2916],{"className":2915},[636,2221],[569,2917,2153],{"className":2918},[636],[565,2920,2921,2922,2986,2987,1538],{},"Wäre ",[569,2923,2925,2947],{"className":2924},[572],[569,2926,2928],{"className":2927},[576],[578,2929,2930],{"xmlns":580},[582,2931,2932,2944],{},[585,2933,2934,2936,2938,2940,2942],{},[591,2935,1564],{},[599,2937,969],{},[595,2939,2244],{},[1321,2941,1323],{},[1321,2943,2153],{},[616,2945,2946],{"encoding":618},"\\sigma = 4\\,\\text{g}",[569,2948,2950,2968],{"className":2949,"ariaHidden":601},[623],[569,2951,2953,2956,2959,2962,2965],{"className":2952},[627],[569,2954],{"className":2955,"style":938},[631],[569,2957,1564],{"className":2958,"style":1580},[636,640],[569,2960],{"className":2961,"style":1020},[698],[569,2963,969],{"className":2964},[1024],[569,2966],{"className":2967,"style":1020},[698],[569,2969,2971,2974,2977,2980],{"className":2970},[627],[569,2972],{"className":2973,"style":1766},[631],[569,2975,2244],{"className":2976},[636],[569,2978],{"className":2979,"style":699},[698],[569,2981,2983],{"className":2982},[636,2221],[569,2984,2153],{"className":2985},[636]," bekannt, betrüge der Radius nur ",[569,2988,2990,3019],{"className":2989},[572],[569,2991,2993],{"className":2992},[576],[578,2994,2995],{"xmlns":580},[582,2996,2997,3016],{},[585,2998,2999,3001,3003,3011,3013],{},[595,3000,1753],{},[599,3002,2491],{},[971,3004,3005,3007],{},[595,3006,2244],{},[996,3008,3009],{},[595,3010,2091],{},[599,3012,2502],{},[595,3014,3015],{},"2,48",[616,3017,3018],{"encoding":618},"1{,}96 \\cdot \\frac{4}{\\sqrt{10}} \\approx 2{,}48",[569,3020,3022,3049,3180],{"className":3021,"ariaHidden":601},[623],[569,3023,3025,3028,3031,3037,3040,3043,3046],{"className":3024},[627],[569,3026],{"className":3027,"style":1766},[631],[569,3029,597],{"className":3030},[636],[569,3032,3034],{"className":3033},[636],[569,3035,602],{"className":3036},[694],[569,3038,1779],{"className":3039},[636],[569,3041],{"className":3042,"style":924},[698],[569,3044,2491],{"className":3045},[928],[569,3047],{"className":3048,"style":924},[698],[569,3050,3052,3055,3171,3174,3177],{"className":3051},[627],[569,3053],{"className":3054,"style":1949},[631],[569,3056,3058,3061,3168],{"className":3057},[636],[569,3059],{"className":3060},[1041,1042],[569,3062,3064],{"className":3063},[971],[569,3065,3067,3160],{"className":3066},[648,649],[569,3068,3070,3157],{"className":3069},[653],[569,3071,3073,3135,3143],{"className":3072,"style":1968},[657],[569,3074,3076,3079],{"style":3075},"top:-2.551em;",[569,3077],{"className":3078,"style":838},[665],[569,3080,3082],{"className":3081},[670,671,672,673],[569,3083,3085],{"className":3084},[636,673],[569,3086,3088],{"className":3087},[636,1078,673],[569,3089,3091,3126],{"className":3090},[648,649],[569,3092,3094,3123],{"className":3093},[653],[569,3095,3098,3110],{"className":3096,"style":3097},[657],"height:0.9128em;",[569,3099,3101,3104],{"className":3100,"style":834},[1092],[569,3102],{"className":3103,"style":838},[665],[569,3105,3107],{"className":3106,"style":1099},[636,673],[569,3108,2091],{"className":3109},[636,673],[569,3111,3113,3116],{"style":3112},"top:-2.8728em;",[569,3114],{"className":3115,"style":838},[665],[569,3117,3119],{"className":3118,"style":1113},[1112,673],[1115,3120,3121],{"xmlns":1117,"width":1118,"height":1119,"viewBox":1120,"preserveAspectRatio":1121},[1123,3122],{"d":1125},[569,3124,681],{"className":3125},[680],[569,3127,3129],{"className":3128},[653],[569,3130,3133],{"className":3131,"style":3132},[657],"height:0.1272em;",[569,3134],{},[569,3136,3137,3140],{"style":1140},[569,3138],{"className":3139,"style":838},[665],[569,3141],{"className":3142,"style":1148},[1147],[569,3144,3145,3148],{"style":2037},[569,3146],{"className":3147,"style":838},[665],[569,3149,3151],{"className":3150},[670,671,672,673],[569,3152,3154],{"className":3153},[636,673],[569,3155,2244],{"className":3156},[636,673],[569,3158,681],{"className":3159},[680],[569,3161,3163],{"className":3162},[653],[569,3164,3166],{"className":3165,"style":2059},[657],[569,3167],{},[569,3169],{"className":3170},[1218,1042],[569,3172],{"className":3173,"style":1020},[698],[569,3175,2502],{"className":3176},[1024],[569,3178],{"className":3179,"style":1020},[698],[569,3181,3183,3186,3189,3195],{"className":3182},[627],[569,3184],{"className":3185,"style":1766},[631],[569,3187,1334],{"className":3188},[636],[569,3190,3192],{"className":3191},[636],[569,3193,602],{"className":3194},[694],[569,3196,3198],{"className":3197},[636],"48",[565,3200,3201,3202,3253,3254,3338,3339,2330,3391,3524,3525,3732,3733,1538],{},"Bei ",[569,3203,3205,3223],{"className":3204},[572],[569,3206,3208],{"className":3207},[576],[578,3209,3210],{"xmlns":580},[582,3211,3212,3220],{},[585,3213,3214,3216,3218],{},[591,3215,614],{},[599,3217,969],{},[595,3219,1878],{},[616,3221,3222],{"encoding":618},"n = 30",[569,3224,3226,3244],{"className":3225,"ariaHidden":601},[623],[569,3227,3229,3232,3235,3238,3241],{"className":3228},[627],[569,3230],{"className":3231,"style":938},[631],[569,3233,614],{"className":3234},[636,640],[569,3236],{"className":3237,"style":1020},[698],[569,3239,969],{"className":3240},[1024],[569,3242],{"className":3243,"style":1020},[698],[569,3245,3247,3250],{"className":3246},[627],[569,3248],{"className":3249,"style":1269},[631],[569,3251,1878],{"className":3252},[636]," Prüfungsergebnissen mit ",[569,3255,3257,3280],{"className":3256},[572],[569,3258,3260],{"className":3259},[576],[578,3261,3262],{"xmlns":580},[582,3263,3264,3277],{},[585,3265,3266,3272,3274],{},[799,3267,3268,3270],{"accent":601},[591,3269,593],{},[599,3271,805],{},[599,3273,969],{},[595,3275,3276],{},"85",[616,3278,3279],{"encoding":618},"\\bar{x} = 85",[569,3281,3283,3329],{"className":3282,"ariaHidden":601},[623],[569,3284,3286,3289,3320,3323,3326],{"className":3285},[627],[569,3287],{"className":3288,"style":818},[631],[569,3290,3292],{"className":3291},[636,822],[569,3293,3295],{"className":3294},[648],[569,3296,3298],{"className":3297},[653],[569,3299,3301,3309],{"className":3300,"style":818},[657],[569,3302,3303,3306],{"style":834},[569,3304],{"className":3305,"style":838},[665],[569,3307,593],{"className":3308},[636,640],[569,3310,3311,3314],{"style":834},[569,3312],{"className":3313,"style":838},[665],[569,3315,3317],{"className":3316,"style":851},[850],[569,3318,805],{"className":3319},[636],[569,3321],{"className":3322,"style":1020},[698],[569,3324,969],{"className":3325},[1024],[569,3327],{"className":3328,"style":1020},[698],[569,3330,3332,3335],{"className":3331},[627],[569,3333],{"className":3334,"style":1269},[631],[569,3336,3276],{"className":3337},[636]," und ",[569,3340,3342,3361],{"className":3341},[572],[569,3343,3345],{"className":3344},[576],[578,3346,3347],{"xmlns":580},[582,3348,3349,3358],{},[585,3350,3351,3353,3355],{},[591,3352,1597],{},[599,3354,969],{},[595,3356,3357],{},"12",[616,3359,3360],{"encoding":618},"s = 12",[569,3362,3364,3382],{"className":3363,"ariaHidden":601},[623],[569,3365,3367,3370,3373,3376,3379],{"className":3366},[627],[569,3368],{"className":3369,"style":938},[631],[569,3371,1597],{"className":3372},[636,640],[569,3374],{"className":3375,"style":1020},[698],[569,3377,969],{"className":3378},[1024],[569,3380],{"className":3381,"style":1020},[698],[569,3383,3385,3388],{"className":3384},[627],[569,3386],{"className":3387,"style":1269},[631],[569,3389,3357],{"className":3390},[636],[569,3392,3394,3426],{"className":3393},[572],[569,3395,3397],{"className":3396},[576],[578,3398,3399],{"xmlns":580},[582,3400,3401,3423],{},[585,3402,3403,3418,3420],{},[588,3404,3405,3407],{},[591,3406,1308],{},[585,3408,3409,3412,3414,3416],{},[595,3410,3411],{},"29",[599,3413,1319],{"separator":601},[1321,3415,1323],{},[595,3417,2358],{},[599,3419,969],{},[595,3421,3422],{},"2,045",[616,3424,3425],{"encoding":618},"t_{29;\\,0{,}975} = 2{,}045",[569,3427,3429,3505],{"className":3428,"ariaHidden":601},[623],[569,3430,3432,3435,3496,3499,3502],{"className":3431},[627],[569,3433],{"className":3434,"style":2376},[631],[569,3436,3438,3441],{"className":3437},[636],[569,3439,1308],{"className":3440},[636,640],[569,3442,3444],{"className":3443},[644],[569,3445,3447,3488],{"className":3446},[648,649],[569,3448,3450,3485],{"className":3449},[653],[569,3451,3453],{"className":3452,"style":658},[657],[569,3454,3455,3458],{"style":661},[569,3456],{"className":3457,"style":666},[665],[569,3459,3461],{"className":3460},[670,671,672,673],[569,3462,3464,3467,3470,3473,3476,3482],{"className":3463},[636,673],[569,3465,3411],{"className":3466},[636,673],[569,3468,1319],{"className":3469},[694,673],[569,3471],{"className":3472,"style":1441},[698,673],[569,3474,2418],{"className":3475},[636,673],[569,3477,3479],{"className":3478},[636,673],[569,3480,602],{"className":3481},[694,673],[569,3483,2428],{"className":3484},[636,673],[569,3486,681],{"className":3487},[680],[569,3489,3491],{"className":3490},[653],[569,3492,3494],{"className":3493,"style":2438},[657],[569,3495],{},[569,3497],{"className":3498,"style":1020},[698],[569,3500,969],{"className":3501},[1024],[569,3503],{"className":3504,"style":1020},[698],[569,3506,3508,3511,3514,3520],{"className":3507},[627],[569,3509],{"className":3510,"style":1766},[631],[569,3512,1334],{"className":3513},[636],[569,3515,3517],{"className":3516},[636],[569,3518,602],{"className":3519},[694],[569,3521,3523],{"className":3522},[636],"045",", der Radius ",[569,3526,3528,3557],{"className":3527},[572],[569,3529,3531],{"className":3530},[576],[578,3532,3533],{"xmlns":580},[582,3534,3535,3554],{},[585,3536,3537,3539,3541,3549,3551],{},[595,3538,3422],{},[599,3540,2491],{},[971,3542,3543,3545],{},[595,3544,3357],{},[996,3546,3547],{},[595,3548,1878],{},[599,3550,2502],{},[595,3552,3553],{},"4,48",[616,3555,3556],{"encoding":618},"2{,}045 \\cdot \\frac{12}{\\sqrt{30}} \\approx 4{,}48",[569,3558,3560,3587,3714],{"className":3559,"ariaHidden":601},[623],[569,3561,3563,3566,3569,3575,3578,3581,3584],{"className":3562},[627],[569,3564],{"className":3565,"style":1766},[631],[569,3567,1334],{"className":3568},[636],[569,3570,3572],{"className":3571},[636],[569,3573,602],{"className":3574},[694],[569,3576,3523],{"className":3577},[636],[569,3579],{"className":3580,"style":924},[698],[569,3582,2491],{"className":3583},[928],[569,3585],{"className":3586,"style":924},[698],[569,3588,3590,3593,3705,3708,3711],{"className":3589},[627],[569,3591],{"className":3592,"style":1949},[631],[569,3594,3596,3599,3702],{"className":3595},[636],[569,3597],{"className":3598},[1041,1042],[569,3600,3602],{"className":3601},[971],[569,3603,3605,3694],{"className":3604},[648,649],[569,3606,3608,3691],{"className":3607},[653],[569,3609,3611,3669,3677],{"className":3610,"style":1968},[657],[569,3612,3613,3616],{"style":3075},[569,3614],{"className":3615,"style":838},[665],[569,3617,3619],{"className":3618},[670,671,672,673],[569,3620,3622],{"className":3621},[636,673],[569,3623,3625],{"className":3624},[636,1078,673],[569,3626,3628,3661],{"className":3627},[648,649],[569,3629,3631,3658],{"className":3630},[653],[569,3632,3634,3646],{"className":3633,"style":3097},[657],[569,3635,3637,3640],{"className":3636,"style":834},[1092],[569,3638],{"className":3639,"style":838},[665],[569,3641,3643],{"className":3642,"style":1099},[636,673],[569,3644,1878],{"className":3645},[636,673],[569,3647,3648,3651],{"style":3112},[569,3649],{"className":3650,"style":838},[665],[569,3652,3654],{"className":3653,"style":1113},[1112,673],[1115,3655,3656],{"xmlns":1117,"width":1118,"height":1119,"viewBox":1120,"preserveAspectRatio":1121},[1123,3657],{"d":1125},[569,3659,681],{"className":3660},[680],[569,3662,3664],{"className":3663},[653],[569,3665,3667],{"className":3666,"style":3132},[657],[569,3668],{},[569,3670,3671,3674],{"style":1140},[569,3672],{"className":3673,"style":838},[665],[569,3675],{"className":3676,"style":1148},[1147],[569,3678,3679,3682],{"style":2037},[569,3680],{"className":3681,"style":838},[665],[569,3683,3685],{"className":3684},[670,671,672,673],[569,3686,3688],{"className":3687},[636,673],[569,3689,3357],{"className":3690},[636,673],[569,3692,681],{"className":3693},[680],[569,3695,3697],{"className":3696},[653],[569,3698,3700],{"className":3699,"style":2059},[657],[569,3701],{},[569,3703],{"className":3704},[1218,1042],[569,3706],{"className":3707,"style":1020},[698],[569,3709,2502],{"className":3710},[1024],[569,3712],{"className":3713,"style":1020},[698],[569,3715,3717,3720,3723,3729],{"className":3716},[627],[569,3718],{"className":3719,"style":1766},[631],[569,3721,2244],{"className":3722},[636],[569,3724,3726],{"className":3725},[636],[569,3727,602],{"className":3728},[694],[569,3730,3198],{"className":3731},[636]," und das Intervall ",[569,3734,3736,3766],{"className":3735},[572],[569,3737,3739],{"className":3738},[576],[578,3740,3741],{"xmlns":580},[582,3742,3743,3763],{},[585,3744,3745,3747,3749,3752,3754,3756,3759,3761],{},[599,3746,2704],{"stretchy":1291},[1321,3748,1323],{},[595,3750,3751],{},"80,52",[599,3753,1319],{"separator":601},[1321,3755,2717],{},[595,3757,3758],{},"89,48",[1321,3760,1323],{},[599,3762,2729],{"stretchy":1291},[616,3764,3765],{"encoding":618},"[\\,80{,}52;\\ 89{,}48\\,]",[569,3767,3769],{"className":3768,"ariaHidden":601},[623],[569,3770,3772,3775,3778,3781,3785,3791,3795,3798,3801,3804,3808,3814,3817,3820],{"className":3771},[627],[569,3773],{"className":3774,"style":2765},[631],[569,3776,2704],{"className":3777},[1041],[569,3779],{"className":3780,"style":699},[698],[569,3782,3784],{"className":3783},[636],"80",[569,3786,3788],{"className":3787},[636],[569,3789,602],{"className":3790},[694],[569,3792,3794],{"className":3793},[636],"52",[569,3796,1319],{"className":3797},[694],[569,3799,2717],{"className":3800},[698],[569,3802],{"className":3803,"style":699},[698],[569,3805,3807],{"className":3806},[636],"89",[569,3809,3811],{"className":3810},[636],[569,3812,602],{"className":3813},[694],[569,3815,3198],{"className":3816},[636],[569,3818],{"className":3819,"style":699},[698],[569,3821,2729],{"className":3822},[1218],[560,3824,3826],{"id":3825},"typische-fehler","Typische Fehler",[1543,3828,3829,3958,4057,4235],{},[1546,3830,3831,3832,3860,3861,3889,3890,3928,3929,3957],{},"Das Konfidenzniveau als Wahrscheinlichkeit für ",[569,3833,3835,3848],{"className":3834},[572],[569,3836,3838],{"className":3837},[576],[578,3839,3840],{"xmlns":580},[582,3841,3842,3846],{},[585,3843,3844],{},[591,3845,769],{},[616,3847,772],{"encoding":618},[569,3849,3851],{"className":3850,"ariaHidden":601},[623],[569,3852,3854,3857],{"className":3853},[627],[569,3855],{"className":3856,"style":632},[631],[569,3858,769],{"className":3859},[636,640]," deuten. Zufällig ist das Intervall, nicht ",[569,3862,3864,3877],{"className":3863},[572],[569,3865,3867],{"className":3866},[576],[578,3868,3869],{"xmlns":580},[582,3870,3871,3875],{},[585,3872,3873],{},[591,3874,769],{},[616,3876,772],{"encoding":618},[569,3878,3880],{"className":3879,"ariaHidden":601},[623],[569,3881,3883,3886],{"className":3882},[627],[569,3884],{"className":3885,"style":632},[631],[569,3887,769],{"className":3888},[636,640],": Das Verfahren liefert in ",[569,3891,3893,3910],{"className":3892},[572],[569,3894,3896],{"className":3895},[576],[578,3897,3898],{"xmlns":580},[582,3899,3900,3908],{},[585,3901,3902,3904,3906],{},[595,3903,1795],{},[1321,3905,1323],{},[591,3907,1800],{"mathvariant":993},[616,3909,1803],{"encoding":618},[569,3911,3913],{"className":3912,"ariaHidden":601},[623],[569,3914,3916,3919,3922,3925],{"className":3915},[627],[569,3917],{"className":3918,"style":1813},[631],[569,3920,1795],{"className":3921},[636],[569,3923],{"className":3924,"style":699},[698],[569,3926,1800],{"className":3927},[636]," aller Stichproben ein Intervall, das ",[569,3930,3932,3945],{"className":3931},[572],[569,3933,3935],{"className":3934},[576],[578,3936,3937],{"xmlns":580},[582,3938,3939,3943],{},[585,3940,3941],{},[591,3942,769],{},[616,3944,772],{"encoding":618},[569,3946,3948],{"className":3947,"ariaHidden":601},[623],[569,3949,3951,3954],{"className":3950},[627],[569,3952],{"className":3953,"style":632},[631],[569,3955,769],{"className":3956},[636,640]," enthält.",[1546,3959,3960,3961,3989,3990,4018,4019,4056],{},"Bei unbekanntem ",[569,3962,3964,3977],{"className":3963},[572],[569,3965,3967],{"className":3966},[576],[578,3968,3969],{"xmlns":580},[582,3970,3971,3975],{},[585,3972,3973],{},[591,3974,1564],{},[616,3976,1567],{"encoding":618},[569,3978,3980],{"className":3979,"ariaHidden":601},[623],[569,3981,3983,3986],{"className":3982},[627],[569,3984],{"className":3985,"style":938},[631],[569,3987,1564],{"className":3988,"style":1580},[636,640]," und kleinem ",[569,3991,3993,4006],{"className":3992},[572],[569,3994,3996],{"className":3995},[576],[578,3997,3998],{"xmlns":580},[582,3999,4000,4004],{},[585,4001,4002],{},[591,4003,614],{},[616,4005,614],{"encoding":618},[569,4007,4009],{"className":4008,"ariaHidden":601},[623],[569,4010,4012,4015],{"className":4011},[627],[569,4013],{"className":4014,"style":938},[631],[569,4016,614],{"className":4017},[636,640]," das Normalverteilungsquantil ",[569,4020,4022,4035],{"className":4021},[572],[569,4023,4025],{"className":4024},[576],[578,4026,4027],{"xmlns":580},[582,4028,4029,4033],{},[585,4030,4031],{},[595,4032,1753],{},[616,4034,1756],{"encoding":618},[569,4036,4038],{"className":4037,"ariaHidden":601},[623],[569,4039,4041,4044,4047,4053],{"className":4040},[627],[569,4042],{"className":4043,"style":1766},[631],[569,4045,597],{"className":4046},[636],[569,4048,4050],{"className":4049},[636],[569,4051,602],{"className":4052},[694],[569,4054,1779],{"className":4055},[636]," nehmen. Das Intervall wird zu schmal.",[1546,4058,4059,4087,4088,4234],{},[569,4060,4062,4075],{"className":4061},[572],[569,4063,4065],{"className":4064},[576],[578,4066,4067],{"xmlns":580},[582,4068,4069,4073],{},[585,4070,4071],{},[591,4072,1597],{},[616,4074,1597],{"encoding":618},[569,4076,4078],{"className":4077,"ariaHidden":601},[623],[569,4079,4081,4084],{"className":4080},[627],[569,4082],{"className":4083,"style":938},[631],[569,4085,1597],{"className":4086},[636,640]," statt ",[569,4089,4091,4111],{"className":4090},[572],[569,4092,4094],{"className":4093},[576],[578,4095,4096],{"xmlns":580},[582,4097,4098,4108],{},[585,4099,4100],{},[971,4101,4102,4104],{},[591,4103,1597],{},[996,4105,4106],{},[591,4107,614],{},[616,4109,4110],{"encoding":618},"\\frac{s}{\\sqrt{n}}",[569,4112,4114],{"className":4113,"ariaHidden":601},[623],[569,4115,4117,4121],{"className":4116},[627],[569,4118],{"className":4119,"style":4120},[631],"height:1.2334em;vertical-align:-0.538em;",[569,4122,4124,4127,4231],{"className":4123},[636],[569,4125],{"className":4126},[1041,1042],[569,4128,4130],{"className":4129},[971],[569,4131,4133,4223],{"className":4132},[648,649],[569,4134,4136,4220],{"className":4135},[653],[569,4137,4140,4198,4206],{"className":4138,"style":4139},[657],"height:0.6954em;",[569,4141,4142,4145],{"style":1058},[569,4143],{"className":4144,"style":838},[665],[569,4146,4148],{"className":4147},[670,671,672,673],[569,4149,4151],{"className":4150},[636,673],[569,4152,4154],{"className":4153},[636,1078,673],[569,4155,4157,4190],{"className":4156},[648,649],[569,4158,4160,4187],{"className":4159},[653],[569,4161,4163,4175],{"className":4162,"style":1088},[657],[569,4164,4166,4169],{"className":4165,"style":834},[1092],[569,4167],{"className":4168,"style":838},[665],[569,4170,4172],{"className":4171,"style":1099},[636,673],[569,4173,614],{"className":4174},[636,640,673],[569,4176,4177,4180],{"style":1105},[569,4178],{"className":4179,"style":838},[665],[569,4181,4183],{"className":4182,"style":1113},[1112,673],[1115,4184,4185],{"xmlns":1117,"width":1118,"height":1119,"viewBox":1120,"preserveAspectRatio":1121},[1123,4186],{"d":1125},[569,4188,681],{"className":4189},[680],[569,4191,4193],{"className":4192},[653],[569,4194,4196],{"className":4195,"style":1135},[657],[569,4197],{},[569,4199,4200,4203],{"style":1140},[569,4201],{"className":4202,"style":838},[665],[569,4204],{"className":4205,"style":1148},[1147],[569,4207,4208,4211],{"style":2037},[569,4209],{"className":4210,"style":838},[665],[569,4212,4214],{"className":4213},[670,671,672,673],[569,4215,4217],{"className":4216},[636,673],[569,4218,1597],{"className":4219},[636,640,673],[569,4221,681],{"className":4222},[680],[569,4224,4226],{"className":4225},[653],[569,4227,4229],{"className":4228,"style":2059},[657],[569,4230],{},[569,4232],{"className":4233},[1218,1042]," verwenden. Dann beschreibt man die Streuung einzelner Werte, nicht die des Mittelwerts.",[1546,4236,4237,4238,4266,4267,4317],{},"Die unkorrigierte Standardabweichung (Nenner ",[569,4239,4241,4254],{"className":4240},[572],[569,4242,4244],{"className":4243},[576],[578,4245,4246],{"xmlns":580},[582,4247,4248,4252],{},[585,4249,4250],{},[591,4251,614],{},[616,4253,614],{"encoding":618},[569,4255,4257],{"className":4256,"ariaHidden":601},[623],[569,4258,4260,4263],{"className":4259},[627],[569,4261],{"className":4262,"style":938},[631],[569,4264,614],{"className":4265},[636,640],") einsetzen. Das t-Intervall setzt die korrigierte Version mit ",[569,4268,4270,4287],{"className":4269},[572],[569,4271,4273],{"className":4272},[576],[578,4274,4275],{"xmlns":580},[582,4276,4277,4285],{},[585,4278,4279,4281,4283],{},[591,4280,614],{},[599,4282,901],{},[595,4284,597],{},[616,4286,1240],{"encoding":618},[569,4288,4290,4308],{"className":4289,"ariaHidden":601},[623],[569,4291,4293,4296,4299,4302,4305],{"className":4292},[627],[569,4294],{"className":4295,"style":1250},[631],[569,4297,614],{"className":4298},[636,640],[569,4300],{"className":4301,"style":924},[698],[569,4303,901],{"className":4304},[928],[569,4306],{"className":4307,"style":924},[698],[569,4309,4311,4314],{"className":4310},[627],[569,4312],{"className":4313,"style":1269},[631],[569,4315,597],{"className":4316},[636]," voraus.",{"title":4319,"searchDepth":4320,"depth":4320,"links":4321},"",2,[4322,4323,4324],{"id":562,"depth":4320,"text":563},{"id":2068,"depth":4320,"text":2069},{"id":3825,"depth":4320,"text":3826},[4326,4329,4332,4335,4338,4341,4344],{"lhs":4327,"rhs":4328},"round(2.262 * 4 \u002F sqrt(10), 2)","2.86",{"lhs":4330,"rhs":4331},"round(502 - 2.262 * 4 \u002F sqrt(10), 2)","499.14",{"lhs":4333,"rhs":4334},"round(502 + 2.262 * 4 \u002F sqrt(10), 2)","504.86",{"lhs":4336,"rhs":4337},"round(1.96 * 4 \u002F sqrt(10), 2)","2.48",{"lhs":4339,"rhs":4340},"round(2.045 * 12 \u002F sqrt(30), 2)","4.48",{"lhs":4342,"rhs":4343},"round(85 - 2.045 * 12 \u002F sqrt(30), 2)","80.52",{"lhs":4345,"rhs":4346},"round(85 + 2.045 * 12 \u002F sqrt(30), 2)","89.48","X_1, \\ldots, X_n \\text{ unabhängig},\\ N(\\mu, \\sigma^2)\\text{-verteilt mit unbekanntem } \\sigma,\\ n \\geq 2,\\ 0 \u003C \\alpha \u003C 1","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>X\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>X\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">X_1, \\ldots, X_n\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0785em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">unabhängig\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.3em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>N\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>μ\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsup>\u003Cmi>σ\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">N(\\mu, \\sigma^2)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0641em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.109em;\">N\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">μ\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">σ\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex\">-verteilt\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">mit unbekanntem\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>σ\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\sigma,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">σ\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>2\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\geq 2,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≥\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">2\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath 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