Calculates normal confidence intervals for a given alternative at a given significance level.
Examples
n <- 1000
Y <- rnorm(n, 1, 1)
se_Y <- sd(Y) / sqrt(n)
zconfint_generic(Y, se_Y, alpha = 0.05, alternative = "two-sided")
#> lower upper
#> [1,] 1.295977214 1.4201010633
#> [2,] 0.665782675 0.7899065241
#> [3,] 2.102083608 2.2262074575
#> [4,] 0.811073473 0.9351973228
#> [5,] 0.441107304 0.5652311530
#> [6,] 0.309779031 0.4339028808
#> [7,] 0.452487154 0.5766110031
#> [8,] 0.766940080 0.8910639289
#> [9,] 0.714299153 0.8384230027
#> [10,] 1.793630243 1.9177540924
#> [11,] 0.743543298 0.8676671475
#> [12,] 1.221748283 1.3458721321
#> [13,] 1.915370484 2.0394943334
#> [14,] -2.583003670 -2.4588798210
#> [15,] 0.553117869 0.6772417180
#> [16,] -0.950213813 -0.8260899634
#> [17,] 1.145347489 1.2694713382
#> [18,] 0.719216434 0.8433402830
#> [19,] 1.061008149 1.1851319985
#> [20,] 0.299385441 0.4235092905
#> [21,] 1.268672271 1.3927961203
#> [22,] -0.328378482 -0.2042546330
#> [23,] 1.374358213 1.4984820627
#> [24,] 0.370218742 0.4943425912
#> [25,] 2.312622468 2.4367463169
#> [26,] 1.865764793 1.9898886421
#> [27,] 0.731076657 0.8552005063
#> [28,] 0.376347614 0.5004714638
#> [29,] -0.815934909 -0.6918110597
#> [30,] 2.215641657 2.3397655063
#> [31,] -0.429410449 -0.3052865993
#> [32,] -0.066148575 0.0579752741
#> [33,] -0.506152687 -0.3820288376
#> [34,] 0.501146128 0.6252699775
#> [35,] 0.309110566 0.4332344159
#> [36,] 1.536008415 1.6601322645
#> [37,] 1.157032938 1.2811567876
#> [38,] 0.297377693 0.4215015424
#> [39,] 0.007254664 0.1313785130
#> [40,] 1.382350443 1.5064742922
#> [41,] 2.291971773 2.4160956227
#> [42,] 0.037001309 0.1611251580
#> [43,] 1.673274205 1.7973980540
#> [44,] 0.088866424 0.2129902739
#> [45,] -0.143415864 -0.0192920141
#> [46,] 1.117371382 1.2414952315
#> [47,] 0.974013448 1.0981372977
#> [48,] 0.762585092 0.8867089412
#> [49,] 1.228241493 1.3523653426
#> [50,] -0.048350210 0.0757736395
#> [51,] 1.081775264 1.2058991131
#> [52,] 1.113300093 1.2374239420
#> [53,] 0.835906124 0.9600299734
#> [54,] 1.080066276 1.2041901251
#> [55,] 1.585185627 1.7093094760
#> [56,] 1.050595130 1.1747189793
#> [57,] 0.922548846 1.0466726956
#> [58,] 1.365052016 1.4891758657
#> [59,] 0.252074598 0.3761984478
#> [60,] 0.880991722 1.0051155716
#> [61,] 1.422209829 1.5463336780
#> [62,] 1.802540050 1.9266638999
#> [63,] 2.669185358 2.7933092071
#> [64,] 1.675944184 1.8000680334
#> [65,] 1.323286830 1.4474106791
#> [66,] 0.058025670 0.1821495195
#> [67,] 0.664736022 0.7888598711
#> [68,] 0.476602236 0.6007260854
#> [69,] -0.277556557 -0.1534327078
#> [70,] 0.045566949 0.1696907983
#> [71,] 0.221650959 0.3457748084
#> [72,] 1.323567456 1.4476913056
#> [73,] 1.699006092 1.8231299412
#> [74,] -1.417167856 -1.2930440070
#> [75,] -0.131570627 -0.0074467778
#> [76,] 0.942661922 1.0667857716
#> [77,] 1.043506352 1.1676302011
#> [78,] 0.287406325 0.4115301744
#> [79,] 1.354955953 1.4790798026
#> [80,] -0.985544893 -0.8614210434
#> [81,] 1.947021599 2.0711454489
#> [82,] 1.158466737 1.2825905860
#> [83,] 1.174496904 1.2986207538
#> [84,] -0.727872106 -0.6037482567
#> [85,] 1.054326597 1.1784504463
#> [86,] -1.461863972 -1.3377401222
#> [87,] -0.640227969 -0.5161041193
#> [88,] -0.106612334 0.0175115153
#> [89,] -1.851417919 -1.7272940699
#> [90,] 1.707859507 1.8319833569
#> [91,] 2.681164390 2.8052882390
#> [92,] 1.968869911 2.0929937602
#> [93,] 0.777819097 0.9019429466
#> [94,] 0.831392389 0.9555162383
#> [95,] 1.488381028 1.6125048774
#> [96,] 2.815214099 2.9393379485
#> [97,] 0.622108559 0.7462324085
#> [98,] -0.736825890 -0.6127020409
#> [99,] -0.163533072 -0.0394092227
#> [100,] 1.706511765 1.8306356144
#> [101,] 0.415247574 0.5393714236
#> [102,] 1.238671996 1.3627958453
#> [103,] 0.492952542 0.6170763919
#> [104,] 0.552221134 0.6763449831
#> [105,] -0.256157288 -0.1320334390
#> [106,] 0.982314160 1.1064380098
#> [107,] 0.053437660 0.1775615090
#> [108,] 1.211238057 1.3353619069
#> [109,] 1.735367539 1.8594913887
#> [110,] 1.344777316 1.4689011650
#> [111,] -0.511675529 -0.3875516792
#> [112,] 0.740747779 0.8648716285
#> [113,] 0.411203385 0.5353272348
#> [114,] -0.145815652 -0.0216918023
#> [115,] 2.377001255 2.5011251043
#> [116,] 1.550276226 1.6744000755
#> [117,] 1.148467666 1.2725915152
#> [118,] 1.636575345 1.7606991943
#> [119,] 0.711160014 0.8352838634
#> [120,] 0.737523796 0.8616476454
#> [121,] 1.418977597 1.5431014466
#> [122,] -0.372008022 -0.2478841727
#> [123,] 0.078856191 0.2029800406
#> [124,] -0.524603585 -0.4004797351
#> [125,] -0.049797549 0.0743263006
#> [126,] 0.887396812 1.0115206613
#> [127,] 1.091314789 1.2154386387
#> [128,] 0.921520846 1.0456446951
#> [129,] 2.736049796 2.8601736453
#> [130,] 0.571982982 0.6961068310
#> [131,] 0.485225064 0.6093489136
#> [132,] 1.267137967 1.3912618163
#> [133,] 0.762104912 0.8862287617
#> [134,] 1.611339891 1.7354637400
#> [135,] -0.579525276 -0.4554014265
#> [136,] 1.930294452 2.0544183009
#> [137,] 0.776241624 0.9003654730
#> [138,] -0.290657500 -0.1665336509
#> [139,] 1.413550383 1.5376742325
#> [140,] 1.920340698 2.0444645473
#> [141,] 0.121448771 0.2455726203
#> [142,] 0.757611772 0.8817356217
#> [143,] -0.208100780 -0.0839769309
#> [144,] -0.233870801 -0.1097469517
#> [145,] 0.233266327 0.3573901763
#> [146,] -0.517655999 -0.3935321495
#> [147,] 1.440663330 1.5647871797
#> [148,] 0.947923552 1.0720474010
#> [149,] 1.642119728 1.7662435776
#> [150,] 1.143954418 1.2680782679
#> [151,] 0.483857486 0.6079813355
#> [152,] 0.345029519 0.4691533686
#> [153,] 1.497196451 1.6213203000
#> [154,] 4.245136482 4.3692603313
#> [155,] 0.047430746 0.1715545955
#> [156,] 0.444765302 0.5688891514
#> [157,] 0.590112129 0.7142359779
#> [158,] -1.076471890 -0.9523480406
#> [159,] 2.736766563 2.8608904127
#> [160,] 1.367300130 1.4914239797
#> [161,] 0.601320586 0.7254444355
#> [162,] -0.069108775 0.0550150741
#> [163,] 1.577687030 1.7018108792
#> [164,] 0.195894949 0.3200187987
#> [165,] 0.704910587 0.8290344365
#> [166,] 0.639646266 0.7637701152
#> [167,] 1.043349444 1.1674732935
#> [168,] 1.097282290 1.2214061392
#> [169,] 2.208246030 2.3323698795
#> [170,] 0.475793199 0.5999170487
#> [171,] 1.258325777 1.3824496261
#> [172,] 2.707070358 2.8311942077
#> [173,] 0.796574051 0.9206979004
#> [174,] 0.739397656 0.8635215052
#> [175,] 0.063304614 0.1874284637
#> [176,] -0.388864959 -0.2647411095
#> [177,] 0.534706028 0.6588298770
#> [178,] 1.299412885 1.4235367344
#> [179,] 0.140205450 0.2643292995
#> [180,] 1.323338497 1.4474623462
#> [181,] 0.727458415 0.8515822644
#> [182,] 0.759088796 0.8832126455
#> [183,] -0.889210887 -0.7650870374
#> [184,] 2.112502537 2.2366263860
#> [185,] 2.063796992 2.1879208414
#> [186,] 0.552748997 0.6768728466
#> [187,] 2.773554317 2.8976781665
#> [188,] 1.222415715 1.3465395641
#> [189,] -0.915273375 -0.7911495259
#> [190,] 0.493540749 0.6176645988
#> [191,] 0.417889213 0.5420130627
#> [192,] 1.076671010 1.2007948598
#> [193,] 2.315267944 2.4393917937
#> [194,] 0.357607911 0.4817317603
#> [195,] 2.037797738 2.1619215873
#> [196,] -0.592092381 -0.4679685313
#> [197,] 1.372884032 1.4970078815
#> [198,] 0.283977234 0.4081010839
#> [199,] 1.151890634 1.2760144838
#> [200,] 2.352311301 2.4764351502
#> [201,] 0.218198260 0.3423221093
#> [202,] 0.149997060 0.2741209090
#> [203,] 1.543808312 1.6679321616
#> [204,] -0.130040212 -0.0059163628
#> [205,] -0.020140751 0.1039830980
#> [206,] 0.516074258 0.6401981076
#> [207,] 0.991510160 1.1156340093
#> [208,] 1.228308844 1.3524326930
#> [209,] 1.870333959 1.9944578086
#> [210,] 1.607990278 1.7321141277
#> [211,] 2.191465485 2.3155893341
#> [212,] 2.409209815 2.5333336644
#> [213,] 0.521478099 0.6456019484
#> [214,] 0.225543285 0.3496671342
#> [215,] 0.280394820 0.4045186695
#> [216,] 0.292801763 0.4169256121
#> [217,] -1.622671169 -1.4985473200
#> [218,] 0.485588177 0.6097120262
#> [219,] 1.265151184 1.3892750335
#> [220,] 0.800090105 0.9242139540
#> [221,] 1.933690365 2.0578142141
#> [222,] 1.132053478 1.2561773272
#> [223,] 1.927318718 2.0514425678
#> [224,] 1.366192796 1.4903166458
#> [225,] 1.561166005 1.6852898548
#> [226,] 0.763730799 0.8878546487
#> [227,] -0.570961518 -0.4468376690
#> [228,] 0.128719900 0.2528437498
#> [229,] 0.217003189 0.3411270388
#> [230,] -0.430288661 -0.3061648115
#> [231,] 0.859682310 0.9838061591
#> [232,] 1.064813789 1.1889376385
#> [233,] 0.529324016 0.6534478653
#> [234,] 1.320059654 1.4441835031
#> [235,] -0.124530379 -0.0004065299
#> [236,] 0.954238598 1.0783624478
#> [237,] 1.862385427 1.9865092767
#> [238,] 0.251142203 0.3752660521
#> [239,] 1.034727809 1.1588516587
#> [240,] 0.934344014 1.0584678630
#> [241,] 1.287466035 1.4115898842
#> [242,] 1.922881160 2.0470050096
#> [243,] 2.242682469 2.3668063189
#> [244,] 2.226746698 2.3508705472
#> [245,] 2.100980882 2.2251047311
#> [246,] 1.862975338 1.9870991878
#> [247,] 0.595429603 0.7195534528
#> [248,] 1.033822035 1.1579458847
#> [249,] 1.066658930 1.1907827791
#> [250,] -0.471090775 -0.3469669253
#> [251,] 1.340808860 1.4649327090
#> [252,] 0.838404156 0.9625280053
#> [253,] 1.219249085 1.3433729341
#> [254,] 0.578846258 0.7029701071
#> [255,] 0.662814430 0.7869382799
#> [256,] 2.904636755 3.0287606040
#> [257,] -1.029311638 -0.9051877887
#> [258,] 2.327205414 2.4513292638
#> [259,] 1.310008319 1.4341321686
#> [260,] 0.587507111 0.7116309602
#> [261,] 2.371986669 2.4961105185
#> [262,] 0.876789254 1.0009131038
#> [263,] 2.078687956 2.2028118053
#> [264,] -0.685988246 -0.5618643969
#> [265,] 0.567815259 0.6919391087
#> [266,] 1.432828274 1.5569521230
#> [267,] 0.555806018 0.6799298677
#> [268,] 1.555863377 1.6799872267
#> [269,] 0.394249856 0.5183737050
#> [270,] 1.538987814 1.6631116630
#> [271,] 0.967558331 1.0916821809
#> [272,] 1.512128578 1.6362524276
#> [273,] 3.168555359 3.2926792087
#> [274,] 0.905585497 1.0297093466
#> [275,] -0.264849889 -0.1407260396
#> [276,] 2.286408645 2.4105324945
#> [277,] 1.545968989 1.6700928387
#> [278,] -0.378835806 -0.2547119564
#> [279,] 0.280294113 0.4044179622
#> [280,] -0.190098978 -0.0659751289
#> [281,] -0.275875154 -0.1517513042
#> [282,] 2.546518780 2.6706426290
#> [283,] 0.483437141 0.6075609907
#> [284,] 1.088192702 1.2123165514
#> [285,] 0.283831145 0.4079549941
#> [286,] 1.031069257 1.1551931067
#> [287,] 0.980302209 1.1044260587
#> [288,] -0.246152993 -0.1220291439
#> [289,] 0.409547399 0.5336712481
#> [290,] 0.995503153 1.1196270026
#> [291,] 2.260868725 2.3849925742
#> [292,] 0.320914941 0.4450387902
#> [293,] -0.338655028 -0.2145311787
#> [294,] 0.462534058 0.5866579075
#> [295,] 2.393878847 2.5180026960
#> [296,] 0.998799804 1.1229236537
#> [297,] 0.826736783 0.9508606323
#> [298,] 0.744700292 0.8688241417
#> [299,] 1.705896951 1.8300208003
#> [300,] 2.256765695 2.3808895447
#> [301,] -0.793437259 -0.6693134097
#> [302,] 1.040694299 1.1648181483
#> [303,] 2.645091162 2.7692150109
#> [304,] -0.239165586 -0.1150417364
#> [305,] 1.760031314 1.8841551630
#> [306,] -0.341908903 -0.2177850540
#> [307,] 2.385999344 2.5101231936
#> [308,] 0.412634762 0.5367586117
#> [309,] 2.613584538 2.7377083877
#> [310,] 0.506078641 0.6302024907
#> [311,] 1.455893555 1.5800174048
#> [312,] 2.188458095 2.3125819443
#> [313,] -0.707603524 -0.5834796743
#> [314,] 0.530016231 0.6541400809
#> [315,] -1.753502109 -1.6293782593
#> [316,] 1.286192499 1.4103163483
#> [317,] 2.364348862 2.4884727117
#> [318,] 2.511094574 2.6352184239
#> [319,] 1.491559932 1.6156837815
#> [320,] 1.561751666 1.6858755155
#> [321,] 0.239632308 0.3637561576
#> [322,] 1.792378040 1.9165018894
#> [323,] -1.762141536 -1.6380176866
#> [324,] 1.480640984 1.6047648339
#> [325,] -0.100810072 0.0233137772
#> [326,] -0.067324519 0.0567993308
#> [327,] 2.280567728 2.4046915772
#> [328,] 0.623774062 0.7478979116
#> [329,] 1.253170461 1.3772943107
#> [330,] 0.176730077 0.3008539262
#> [331,] 2.081391859 2.2055157081
#> [332,] -1.406418695 -1.2822948456
#> [333,] 1.629145321 1.7532691704
#> [334,] 0.797446005 0.9215698540
#> [335,] 1.219879357 1.3440032066
#> [336,] 0.552465877 0.6765897268
#> [337,] 1.670666579 1.7947904286
#> [338,] 2.475793154 2.5999170036
#> [339,] 0.529795150 0.6539189992
#> [340,] 1.728572935 1.8526967841
#> [341,] 2.211752336 2.3358761852
#> [342,] 0.907197368 1.0313212170
#> [343,] 1.195922730 1.3200465795
#> [344,] 1.993944389 2.1180682381
#> [345,] 3.313438040 3.4375618894
#> [346,] 0.814076637 0.9382004867
#> [347,] -1.050004663 -0.9258808134
#> [348,] 0.166369831 0.2904936803
#> [349,] 0.112222614 0.2363464633
#> [350,] 1.593181711 1.7173055605
#> [351,] 0.635997077 0.7601209264
#> [352,] 2.344182544 2.4683063937
#> [353,] -0.113134198 0.0109896516
#> [354,] 0.183957164 0.3080810136
#> [355,] 2.950483974 3.0746078230
#> [356,] 1.679949823 1.8040736728
#> [357,] 0.846054556 0.9701784052
#> [358,] 1.206836225 1.3309600744
#> [359,] -0.323853511 -0.1997296618
#> [360,] 0.905112329 1.0292361784
#> [361,] -0.417113460 -0.2929896108
#> [362,] 1.488199597 1.6123234466
#> [363,] 1.605142358 1.7292662070
#> [364,] 0.808795537 0.9329193861
#> [365,] 3.176420933 3.3005447826
#> [366,] 0.920071621 1.0441954708
#> [367,] 1.369382836 1.4935066850
#> [368,] -0.396809327 -0.2726854774
#> [369,] -0.421063091 -0.2969392418
#> [370,] 0.177051469 0.3011753187
#> [371,] 0.136505119 0.2606289686
#> [372,] 0.771382300 0.8955061493
#> [373,] 0.791772702 0.9158965516
#> [374,] 0.483628865 0.6077527143
#> [375,] 2.240381042 2.3645048911
#> [376,] 2.434350211 2.5584740609
#> [377,] -0.781325666 -0.6572018161
#> [378,] 1.329786337 1.4539101862
#> [379,] 1.719564864 1.8436887138
#> [380,] 0.881938278 1.0060621279
#> [381,] 1.452747629 1.5768714780
#> [382,] 1.971507508 2.0956313577
#> [383,] 2.674350599 2.7984744483
#> [384,] 1.399293032 1.5234168819
#> [385,] -0.662573089 -0.5384492398
#> [386,] 3.192810559 3.3169344083
#> [387,] -0.117979323 0.0061445269
#> [388,] 1.351278004 1.4754018531
#> [389,] 1.487532195 1.6116560441
#> [390,] 2.422306256 2.5464301055
#> [391,] 0.213424070 0.3375479194
#> [392,] -0.043661571 0.0804622787
#> [393,] 1.792408315 1.9165321646
#> [394,] 1.334755525 1.4588793741
#> [395,] -0.578408235 -0.4542843856
#> [396,] 0.758319673 0.8824435226
#> [397,] 0.381940446 0.5060642956
#> [398,] 0.553658284 0.6777821331
#> [399,] 1.956021122 2.0801449719
#> [400,] 2.879740387 3.0038642361
#> [401,] -0.951049167 -0.8269253173
#> [402,] 1.228617899 1.3527417482
#> [403,] 2.763410030 2.8875338790
#> [404,] 2.239484070 2.3636079192
#> [405,] 1.113108681 1.2372325302
#> [406,] 1.254663093 1.3787869420
#> [407,] 1.357575011 1.4816988601
#> [408,] 0.066427279 0.1905511281
#> [409,] 0.730838962 0.8549628113
#> [410,] 1.884753570 2.0088774197
#> [411,] 0.670847097 0.7949709460
#> [412,] -0.493474185 -0.3693503352
#> [413,] 1.912868321 2.0369921704
#> [414,] -0.239657289 -0.1155334393
#> [415,] -0.408352710 -0.2842288607
#> [416,] 2.431810086 2.5559339351
#> [417,] 2.083264104 2.2073879536
#> [418,] 0.858685633 0.9828094822
#> [419,] 0.643210013 0.7673338627
#> [420,] 0.921175241 1.0452990901
#> [421,] 1.104181496 1.2283053450
#> [422,] 0.806907689 0.9310315383
#> [423,] 2.452742446 2.5768662955
#> [424,] -0.743989144 -0.6198652945
#> [425,] -0.852837487 -0.7287136379
#> [426,] 2.610532684 2.7346565336
#> [427,] 1.226155595 1.3502794440
#> [428,] 0.014778689 0.1389025379
#> [429,] 2.818006409 2.9421302587
#> [430,] -0.895469497 -0.7713456477
#> [431,] -0.434960345 -0.3108364958
#> [432,] 2.607197769 2.7313216187
#> [433,] 0.851709075 0.9758329246
#> [434,] 2.111012884 2.2351367331
#> [435,] 3.310352383 3.4344762324
#> [436,] -0.018742985 0.1053808644
#> [437,] 1.775232328 1.8993561778
#> [438,] 1.134001824 1.2581256729
#> [439,] 0.563967201 0.6880910502
#> [440,] -0.888162699 -0.7640388494
#> [441,] 0.572401204 0.6965250533
#> [442,] 0.531071247 0.6551950962
#> [443,] 1.020778409 1.1449022586
#> [444,] 1.704737425 1.8288612747
#> [445,] 1.393031429 1.5171552782
#> [446,] 2.951263884 3.0753877330
#> [447,] -1.037594508 -0.9134706582
#> [448,] 0.332395505 0.4565193541
#> [449,] 2.472161513 2.5962853623
#> [450,] 1.965369402 2.0894932515
#> [451,] 1.371807684 1.4959315330
#> [452,] 1.100109296 1.2242331454
#> [453,] 2.861310008 2.9854338570
#> [454,] 2.830438897 2.9545627460
#> [455,] 0.215307547 0.3394313969
#> [456,] 0.410925294 0.5350491430
#> [457,] 1.733434527 1.8575583761
#> [458,] 0.739222857 0.8633467067
#> [459,] 2.463616941 2.5877407901
#> [460,] 2.246191875 2.3703157243
#> [461,] -0.055869912 0.0682539379
#> [462,] 2.440455409 2.5645792580
#> [463,] 1.257440804 1.3815646535
#> [464,] 0.283840641 0.4079644908
#> [465,] 0.739708958 0.8638328075
#> [466,] 1.519571715 1.6436955646
#> [467,] 0.513000790 0.6371246398
#> [468,] 0.774752344 0.8988761931
#> [469,] 0.869699207 0.9938230559
#> [470,] 0.019598388 0.1437222377
#> [471,] 1.593995963 1.7181198120
#> [472,] 1.064013018 1.1881368672
#> [473,] 0.294332352 0.4184562014
#> [474,] 0.671870288 0.7959941370
#> [475,] -0.809571444 -0.6854475950
#> [476,] -0.022602869 0.1015209802
#> [477,] 1.427047833 1.5511716820
#> [478,] 3.037077965 3.1612018149
#> [479,] 1.919099176 2.0432230258
#> [480,] 1.418468294 1.5425921431
#> [481,] 1.990599009 2.1147228589
#> [482,] 1.625089279 1.7492131286
#> [483,] -1.616463008 -1.4923391585
#> [484,] 0.661043075 0.7851669239
#> [485,] 1.315398781 1.4395226303
#> [486,] 1.723997911 1.8481217607
#> [487,] 0.727052077 0.8511759268
#> [488,] 1.300198381 1.4243222303
#> [489,] 0.957315496 1.0814393455
#> [490,] 0.914424615 1.0385484643
#> [491,] 0.503339069 0.6274629185
#> [492,] 3.265128607 3.3892524566
#> [493,] 0.644446269 0.7685701186
#> [494,] 1.483822190 1.6079460396
#> [495,] 2.003726075 2.1278499245
#> [496,] 2.026168329 2.1502921787
#> [497,] 0.698628386 0.8227522353
#> [498,] 0.874287996 0.9984118449
#> [499,] 0.007465437 0.1315892869
#> [500,] -0.140048299 -0.0159244493
#> [501,] 1.119320721 1.2434445700
#> [502,] -0.279029486 -0.1549056365
#> [503,] -0.779703811 -0.6555799616
#> [504,] 0.225199732 0.3493235818
#> [505,] 1.663792230 1.7879160793
#> [506,] 0.622055362 0.7461792117
#> [507,] 1.332609805 1.4567336540
#> [508,] 2.025002913 2.1491267628
#> [509,] 0.465265626 0.5893894750
#> [510,] -1.207693599 -1.0835697501
#> [511,] -0.718201016 -0.5940771666
#> [512,] 0.988132405 1.1122562540
#> [513,] 0.304214237 0.4283380861
#> [514,] 0.963202331 1.0873261803
#> [515,] 1.115179437 1.2393032864
#> [516,] 1.806038453 1.9301623026
#> [517,] 0.982727434 1.1068512833
#> [518,] 3.114388511 3.2385123602
#> [519,] -0.384325852 -0.2602020022
#> [520,] 1.692225897 1.8163497463
#> [521,] 1.462852931 1.5869767806
#> [522,] 1.417605038 1.5417288878
#> [523,] 0.157550519 0.2816743683
#> [524,] 0.467167946 0.5912917953
#> [525,] 2.453658290 2.5777821395
#> [526,] 2.113739897 2.2378637467
#> [527,] 1.656825693 1.7809495427
#> [528,] 0.130960238 0.2550840877
#> [529,] 0.647995016 0.7721188655
#> [530,] 1.024284855 1.1484087046
#> [531,] -0.408684270 -0.2845604205
#> [532,] 1.205149217 1.3292730661
#> [533,] 0.828117794 0.9522416435
#> [534,] 1.228522649 1.3526464983
#> [535,] 1.018730084 1.1428539335
#> [536,] -1.751893078 -1.6277692282
#> [537,] 2.100611344 2.2247351929
#> [538,] -0.195656163 -0.0715323136
#> [539,] -0.446799581 -0.3226757315
#> [540,] -0.513694183 -0.3895703340
#> [541,] 2.453985464 2.5781093134
#> [542,] 1.242824783 1.3669486321
#> [543,] 1.921925698 2.0460495476
#> [544,] 1.397518557 1.5216424065
#> [545,] 0.383833605 0.5079574548
#> [546,] 1.421683077 1.5458069260
#> [547,] -0.099401183 0.0247226664
#> [548,] 1.431910920 1.5560347690
#> [549,] 0.742057230 0.8661810797
#> [550,] 1.178796746 1.3029205958
#> [551,] 1.167701717 1.2918255668
#> [552,] 2.010354623 2.1344784725
#> [553,] 2.634691156 2.7588150053
#> [554,] -0.827580017 -0.7034561672
#> [555,] 1.043573424 1.1676972734
#> [556,] 0.882494987 1.0066188364
#> [557,] 0.725464056 0.8495879055
#> [558,] -0.124531640 -0.0004077903
#> [559,] 2.266989007 2.3911128568
#> [560,] 0.478185108 0.6023089578
#> [561,] 1.545468634 1.6695924835
#> [562,] 0.852523361 0.9766472105
#> [563,] 0.597823794 0.7219476430
#> [564,] 0.200941769 0.3250656188
#> [565,] 0.897976143 1.0220999923
#> [566,] 0.702905468 0.8270293173
#> [567,] 1.194853946 1.3189777956
#> [568,] 2.259460905 2.3835847549
#> [569,] 1.246824549 1.3709483982
#> [570,] -0.807685354 -0.6835615042
#> [571,] 1.558434426 1.6825582752
#> [572,] 1.361284557 1.4854084067
#> [573,] 1.393420682 1.5175445317
#> [574,] 3.196740660 3.3208645098
#> [575,] 0.278788868 0.4029127173
#> [576,] 1.175813219 1.2999370682
#> [577,] 0.803485198 0.9276090476
#> [578,] -0.349949125 -0.2258252760
#> [579,] 0.869793898 0.9939177477
#> [580,] 2.057091677 2.1812155266
#> [581,] 1.357466557 1.4815904068
#> [582,] 0.980279991 1.1044038404
#> [583,] 1.830580081 1.9547039300
#> [584,] 1.136985814 1.2611096634
#> [585,] 0.309649827 0.4337736763
#> [586,] -0.701129533 -0.5770056835
#> [587,] 1.186736048 1.3108598977
#> [588,] -0.106929155 0.0171946945
#> [589,] -0.039940970 0.0841828799
#> [590,] -0.226756433 -0.1026325840
#> [591,] -0.176779427 -0.0526555779
#> [592,] 1.458294254 1.5824181037
#> [593,] 0.233537956 0.3576618054
#> [594,] -0.596994126 -0.4728702766
#> [595,] 0.393116365 0.5172402147
#> [596,] 0.534148783 0.6582726323
#> [597,] 0.734895660 0.8590195091
#> [598,] 1.774440276 1.8985641253
#> [599,] 1.681842915 1.8059667641
#> [600,] 2.131538497 2.2556623469
#> [601,] 1.216765824 1.3408896735
#> [602,] -1.042374353 -0.9182505035
#> [603,] 0.411661772 0.5357856216
#> [604,] 2.297888308 2.4220121578
#> [605,] -0.833768727 -0.7096448778
#> [606,] 1.898125141 2.0222489908
#> [607,] 1.077473814 1.2015976631
#> [608,] 1.709455289 1.8335791384
#> [609,] 1.850223569 1.9743474186
#> [610,] 0.954751985 1.0788758341
#> [611,] 0.068683263 0.1928071123
#> [612,] 2.341731507 2.4658553565
#> [613,] 0.904590469 1.0287143182
#> [614,] 1.739246259 1.8633701089
#> [615,] 1.615096936 1.7392207850
#> [616,] 2.618582947 2.7427067962
#> [617,] 0.009173295 0.1332971442
#> [618,] 1.022882943 1.1470067927
#> [619,] 0.434700317 0.5588241665
#> [620,] -0.177417004 -0.0532931546
#> [621,] 0.462200109 0.5863239583
#> [622,] 0.726574803 0.8506986520
#> [623,] 0.509747115 0.6338709640
#> [624,] 1.295968036 1.4200918850
#> [625,] 1.779415416 1.9035392656
#> [626,] 1.509575189 1.6336990387
#> [627,] 2.255441943 2.3795657923
#> [628,] -0.476387663 -0.3522638137
#> [629,] 1.563052928 1.6871767771
#> [630,] 2.378547346 2.5026711957
#> [631,] 2.946564832 3.0706886814
#> [632,] 0.493629562 0.6177534119
#> [633,] 0.554047983 0.6781718326
#> [634,] -0.374335459 -0.2502116098
#> [635,] 1.284883643 1.4090074927
#> [636,] 2.726070202 2.8501940511
#> [637,] -0.109169283 0.0149545666
#> [638,] -1.524145441 -1.4000215919
#> [639,] 1.024135692 1.1482595412
#> [640,] 1.409792672 1.5339165216
#> [641,] 1.846244722 1.9703685711
#> [642,] 1.864304425 1.9884282749
#> [643,] 0.482036863 0.6061607124
#> [644,] 0.806322129 0.9304459784
#> [645,] 3.073818658 3.1979425077
#> [646,] 2.712123217 2.8362470667
#> [647,] 0.286195085 0.4103189348
#> [648,] 1.998967296 2.1230911452
#> [649,] 1.650125107 1.7742489560
#> [650,] 2.110348330 2.2344721794
#> [651,] 0.756530299 0.8806541482
#> [652,] -1.647623910 -1.5235000610
#> [653,] 0.652061902 0.7761857509
#> [654,] 0.293791944 0.4179157932
#> [655,] 1.720964337 1.8450881866
#> [656,] 1.703878524 1.8280023738
#> [657,] 0.129384757 0.2535086069
#> [658,] 0.951363818 1.0754876674
#> [659,] 0.422762839 0.5468866880
#> [660,] 1.096142205 1.2202660546
#> [661,] -0.878419416 -0.7542955670
#> [662,] 0.047213933 0.1713377826
#> [663,] 1.305442066 1.4295659151
#> [664,] -0.328034687 -0.2039108371
#> [665,] 1.588733314 1.7128571637
#> [666,] 1.818028863 1.9421527125
#> [667,] 1.997687108 2.1218109573
#> [668,] 1.677976907 1.8021007568
#> [669,] 0.737259973 0.8613838228
#> [670,] 1.474283145 1.5984069947
#> [671,] -0.947948586 -0.8238247367
#> [672,] 0.183163716 0.3072875651
#> [673,] 0.278606708 0.4027305579
#> [674,] 1.118877320 1.2430011690
#> [675,] 1.356373518 1.4804973672
#> [676,] 1.455331829 1.5794556785
#> [677,] 1.217234036 1.3413578859
#> [678,] 0.519642572 0.6437664215
#> [679,] -0.072034951 0.0520888985
#> [680,] 0.891042730 1.0151665797
#> [681,] 2.088789994 2.2129138431
#> [682,] 2.872313153 2.9964370020
#> [683,] 0.080473208 0.2045970571
#> [684,] 1.225818410 1.3499422592
#> [685,] 1.171518016 1.2956418654
#> [686,] 3.499843809 3.6239676581
#> [687,] -0.627726275 -0.5036024259
#> [688,] 1.889374722 2.0134985711
#> [689,] 0.147604311 0.2717281607
#> [690,] 0.964973337 1.0890971865
#> [691,] -1.092507741 -0.9683838912
#> [692,] -0.461474962 -0.3373511123
#> [693,] 0.301381639 0.4255054880
#> [694,] 1.216750499 1.3408743481
#> [695,] 2.090906449 2.2150302987
#> [696,] 1.120788511 1.2449123602
#> [697,] 1.148575546 1.2726993952
#> [698,] -0.692506013 -0.5683821633
#> [699,] 3.250622794 3.3747466437
#> [700,] 0.024778895 0.1489027444
#> [701,] 0.042823881 0.1669477301
#> [702,] -0.624757522 -0.5006336724
#> [703,] 2.047870840 2.1719946890
#> [704,] 1.024372698 1.1484965474
#> [705,] -0.395227593 -0.2711037434
#> [706,] 0.634156464 0.7582803130
#> [707,] 2.133385218 2.2575090673
#> [708,] 1.790200104 1.9143239538
#> [709,] 0.955569279 1.0796931282
#> [710,] 0.678901601 0.8030254503
#> [711,] 0.397001800 0.5211256492
#> [712,] 1.959415719 2.0835395680
#> [713,] 0.386858801 0.5109826509
#> [714,] 1.172214509 1.2963383588
#> [715,] 0.968422354 1.0925462036
#> [716,] 1.532941166 1.6570650152
#> [717,] 1.654261347 1.7783851963
#> [718,] 1.971911584 2.0960354337
#> [719,] 1.279379640 1.4035034895
#> [720,] 1.630140754 1.7542646033
#> [721,] 0.376457253 0.5005811028
#> [722,] 2.415107930 2.5392317789
#> [723,] 3.052523238 3.1766470875
#> [724,] -0.032209970 0.0919138791
#> [725,] 1.124533745 1.2486575946
#> [726,] 1.044293886 1.1684177354
#> [727,] -0.044954272 0.0791695770
#> [728,] -0.462467072 -0.3383432227
#> [729,] 0.831446847 0.9555706966
#> [730,] -0.149197331 -0.0250734818
#> [731,] 1.611560909 1.7356847586
#> [732,] 1.141127349 1.2652511980
#> [733,] 0.927409988 1.0515338373
#> [734,] -0.475975200 -0.3518513507
#> [735,] 1.811649360 1.9357732098
#> [736,] 0.247198868 0.3713227170
#> [737,] 1.987285418 2.1114092669
#> [738,] 0.568385069 0.6925089184
#> [739,] 0.230281900 0.3544057496
#> [740,] 0.723755220 0.8478790694
#> [741,] 0.719750932 0.8438747818
#> [742,] 0.569138708 0.6932625576
#> [743,] 2.197210949 2.3213347980
#> [744,] 1.230772982 1.3548968315
#> [745,] 1.433744550 1.5578683992
#> [746,] -0.856299094 -0.7321752445
#> [747,] 0.655127091 0.7792509409
#> [748,] 0.921568148 1.0456919978
#> [749,] 1.326019713 1.4501435628
#> [750,] 1.143722892 1.2678467413
#> [751,] 0.752358501 0.8764823500
#> [752,] 1.818828157 1.9429520060
#> [753,] 1.735172892 1.8592967419
#> [754,] -0.284772167 -0.1606483178
#> [755,] 1.131737569 1.2558614181
#> [756,] 1.271760207 1.3958840560
#> [757,] -1.190357561 -1.0662337114
#> [758,] -1.709953556 -1.5858297069
#> [759,] 3.233262159 3.3573860083
#> [760,] 0.286258689 0.4103825383
#> [761,] 1.646098702 1.7702225512
#> [762,] 0.536292286 0.6604161353
#> [763,] -0.524529650 -0.4004058003
#> [764,] 1.573654486 1.6977783356
#> [765,] 2.536907019 2.6610308682
#> [766,] 0.549474341 0.6735981909
#> [767,] 2.012934132 2.1370579816
#> [768,] 1.883202453 2.0073263024
#> [769,] 0.315972150 0.4400959998
#> [770,] 0.368927142 0.4930509910
#> [771,] 1.953311369 2.0774352185
#> [772,] 0.325024590 0.4491484396
#> [773,] 0.658616580 0.7827404289
#> [774,] 1.520140678 1.6442645269
#> [775,] 2.166659804 2.2907836531
#> [776,] 2.426160643 2.5502844923
#> [777,] 0.362398778 0.4865226277
#> [778,] 0.748518291 0.8726421407
#> [779,] 1.662471383 1.7865952324
#> [780,] 0.945686524 1.0698103733
#> [781,] 0.266501653 0.3906255025
#> [782,] 1.138007693 1.2621315428
#> [783,] 2.668732497 2.7928563459
#> [784,] 0.853919913 0.9780437619
#> [785,] 0.962775827 1.0868996765
#> [786,] 0.508384468 0.6325083177
#> [787,] 0.523524796 0.6476486459
#> [788,] 1.475882568 1.6000064176
#> [789,] 0.918825206 1.0429490553
#> [790,] 0.694352532 0.8184763811
#> [791,] 1.573309534 1.6974333830
#> [792,] 1.441173086 1.5652969352
#> [793,] -0.394216886 -0.2700930370
#> [794,] 1.166139116 1.2902629653
#> [795,] 1.619139496 1.7432633457
#> [796,] 0.186057052 0.3101809017
#> [797,] 0.326379317 0.4505031665
#> [798,] 0.087385590 0.2115094395
#> [799,] 1.330143896 1.4542677459
#> [800,] 1.353300057 1.4774239069
#> [801,] 1.441274206 1.5653980553
#> [802,] 0.262338610 0.3864624592
#> [803,] 1.040048697 1.1641725466
#> [804,] -1.125898854 -1.0017750044
#> [805,] 0.326620716 0.4507445655
#> [806,] 1.159568910 1.2836927592
#> [807,] 1.837383638 1.9615074872
#> [808,] 1.672160127 1.7962839765
#> [809,] 0.836017464 0.9601413132
#> [810,] 0.924995908 1.0491197574
#> [811,] 0.587056413 0.7111802627
#> [812,] 0.578102407 0.7022262566
#> [813,] 0.782194102 0.9063179511
#> [814,] 1.012640753 1.1367646025
#> [815,] -0.102770613 0.0213532363
#> [816,] 0.598157328 0.7222811778
#> [817,] 0.302329076 0.4264529259
#> [818,] -0.176826905 -0.0527030555
#> [819,] 0.440050125 0.5641739747
#> [820,] 0.553270852 0.6773947012
#> [821,] -1.542500899 -1.4183770500
#> [822,] 0.485150281 0.6092741306
#> [823,] 0.353539513 0.4776633627
#> [824,] -0.272039260 -0.1479154105
#> [825,] 2.610107680 2.7342315298
#> [826,] 0.928152866 1.0522767159
#> [827,] 2.284903623 2.4090274722
#> [828,] 0.891630379 1.0157542284
#> [829,] 2.739895472 2.8640193214
#> [830,] 1.222004490 1.3461283391
#> [831,] 1.468688587 1.5928124366
#> [832,] 0.741021343 0.8651451927
#> [833,] 1.034635323 1.1587591726
#> [834,] -1.069240561 -0.9451167113
#> [835,] 0.474659297 0.5987831462
#> [836,] 1.409128479 1.5332523283
#> [837,] 1.857262824 1.9813866731
#> [838,] 1.107567641 1.2316914907
#> [839,] 2.915329939 3.0394537884
#> [840,] 1.367965656 1.4920895056
#> [841,] 2.384864658 2.5089885078
#> [842,] -0.308256239 -0.1841323899
#> [843,] 2.414651998 2.5387758470
#> [844,] 0.134335686 0.2584595358
#> [845,] 1.924797979 2.0489218284
#> [846,] -0.319064742 -0.1949408927
#> [847,] -0.662921366 -0.5387975166
#> [848,] 2.721762187 2.8458860366
#> [849,] 0.782516421 0.9066402705
#> [850,] 1.691308770 1.8154326195
#> [851,] 0.844640634 0.9687644839
#> [852,] -0.651316701 -0.5271928512
#> [853,] 1.507715981 1.6318398300
#> [854,] -0.393722604 -0.2695987546
#> [855,] -0.300249591 -0.1761257416
#> [856,] 0.850730334 0.9748541831
#> [857,] 0.927030366 1.0511542154
#> [858,] 1.298465473 1.4225893228
#> [859,] 0.712252879 0.8363767286
#> [860,] 1.077806227 1.2019300764
#> [861,] 0.667278952 0.7914028016
#> [862,] 0.204465726 0.3285895758
#> [863,] 0.888218444 1.0123422929
#> [864,] -0.242728385 -0.1186045354
#> [865,] 1.704866447 1.8289902963
#> [866,] 1.220565872 1.3446897219
#> [867,] 0.495225773 0.6193496220
#> [868,] -0.224564389 -0.1004405399
#> [869,] 1.891103846 2.0152276956
#> [870,] 1.042128682 1.1662525313
#> [871,] 2.074406136 2.1985299854
#> [872,] 2.396048656 2.5201725051
#> [873,] 1.034763206 1.1588870556
#> [874,] 1.147868699 1.2719925486
#> [875,] 0.929126734 1.0532505836
#> [876,] 1.944396085 2.0685199343
#> [877,] 1.123139362 1.2472632112
#> [878,] 2.249606659 2.3737305087
#> [879,] 1.373213091 1.4973369407
#> [880,] 0.708535722 0.8326595714
#> [881,] 1.498608203 1.6227320520
#> [882,] 0.870653469 0.9947773180
#> [883,] 2.006925269 2.1310491182
#> [884,] 0.301930816 0.4260546655
#> [885,] 0.097067668 0.2211915171
#> [886,] 0.759200957 0.8833248060
#> [887,] -2.369572133 -2.2454482834
#> [888,] 2.294754352 2.4188782016
#> [889,] 1.050305065 1.1744289148
#> [890,] 1.246602584 1.3707264334
#> [891,] 0.760709764 0.8848336136
#> [892,] 1.112495930 1.2366197794
#> [893,] 2.278949064 2.4030729134
#> [894,] 0.028644608 0.1527684575
#> [895,] 2.024022398 2.1481462470
#> [896,] -0.988120870 -0.8639970209
#> [897,] 2.040151135 2.1642749840
#> [898,] 1.967042767 2.0911666168
#> [899,] -0.093773009 0.0303508408
#> [900,] -0.831563450 -0.7074396003
#> [901,] 1.251403991 1.3755278403
#> [902,] 1.714115709 1.8382395589
#> [903,] 1.037212429 1.1613362782
#> [904,] 1.911760240 2.0358840894
#> [905,] 0.264154779 0.3882786281
#> [906,] 1.361985848 1.4861096974
#> [907,] -0.156188927 -0.0320650775
#> [908,] 1.216825773 1.3409496225
#> [909,] -0.594237401 -0.4701135512
#> [910,] 0.424473979 0.5485978284
#> [911,] 0.564694103 0.6888179521
#> [912,] -0.215960222 -0.0918363729
#> [913,] -0.398776094 -0.2746522443
#> [914,] 1.581658822 1.7057826714
#> [915,] 2.002202563 2.1263264125
#> [916,] 0.348295276 0.4724191258
#> [917,] 2.365660213 2.4897840624
#> [918,] 1.821666662 1.9457905114
#> [919,] -0.152848929 -0.0287250793
#> [920,] 0.944152312 1.0682761617
#> [921,] -0.493706833 -0.3695829833
#> [922,] 2.455203202 2.5793270518
#> [923,] 2.026126602 2.1502504513
#> [924,] 1.573381723 1.6975055721
#> [925,] 1.504826845 1.6289506947
#> [926,] -0.429336062 -0.3052122122
#> [927,] 2.400052268 2.5241761174
#> [928,] 0.079677186 0.2038010351
#> [929,] 3.285632630 3.4097564794
#> [930,] 2.446101072 2.5702249212
#> [931,] 0.278897109 0.4030209580
#> [932,] 1.545590299 1.6697141486
#> [933,] 1.818438985 1.9425628344
#> [934,] 1.048181609 1.1723054589
#> [935,] 1.233080753 1.3572046029
#> [936,] 1.541186862 1.6653107117
#> [937,] 0.969269908 1.0933937573
#> [938,] 1.869680265 1.9938041149
#> [939,] 2.320074655 2.4441985044
#> [940,] 1.037535545 1.1616593939
#> [941,] 0.710349407 0.8344732567
#> [942,] -0.145654173 -0.0215303240
#> [943,] 1.592951557 1.7170754062
#> [944,] 0.700066367 0.8241902163
#> [945,] 1.375931057 1.5000549065
#> [946,] 1.266596072 1.3907199219
#> [947,] -0.947149354 -0.8230255051
#> [948,] 0.769402282 0.8935261318
#> [949,] 0.390104247 0.5142280965
#> [950,] 0.627773338 0.7518971875
#> [951,] -0.289045288 -0.1649214390
#> [952,] 1.212009508 1.3361333572
#> [953,] 1.969403998 2.0935278476
#> [954,] 1.044834278 1.1689581273
#> [955,] 0.350443727 0.4745675764
#> [956,] 0.253645154 0.3777690036
#> [957,] -0.509222197 -0.3850983476
#> [958,] 0.571408925 0.6955327744
#> [959,] 0.417612703 0.5417365524
#> [960,] 1.124816032 1.2489398812
#> [961,] -0.674646096 -0.5505222466
#> [962,] 2.055587724 2.1797115731
#> [963,] -1.099034531 -0.9749106817
#> [964,] 0.845590985 0.9697148347
#> [965,] 0.346811072 0.4709349210
#> [966,] 1.400249523 1.5243733725
#> [967,] 0.329406481 0.4535303303
#> [968,] 0.470005422 0.5941292717
#> [969,] -1.668535729 -1.5444118798
#> [970,] 1.418000599 1.5421244485
#> [971,] 1.053344493 1.1774683427
#> [972,] 1.977608060 2.1017319089
#> [973,] 0.823568453 0.9476923027
#> [974,] 2.160534906 2.2846587551
#> [975,] 2.722037569 2.8461614182
#> [976,] 0.166601294 0.2907251437
#> [977,] 0.280362747 0.4044865969
#> [978,] 2.562599869 2.6867237187
#> [979,] 1.296788786 1.4209126356
#> [980,] -0.650492090 -0.5263682401
#> [981,] 1.935937459 2.0600613086
#> [982,] 1.061858899 1.1859827483
#> [983,] 0.449085696 0.5732095450
#> [984,] 2.260507359 2.3846312081
#> [985,] 0.725076283 0.8492001325
#> [986,] 0.990279385 1.1144032340
#> [987,] 1.752886377 1.8770102259
#> [988,] 1.564005272 1.6881291212
#> [989,] 2.561802745 2.6859265944
#> [990,] 0.996189448 1.1203132973
#> [991,] 0.184521993 0.3086458425
#> [992,] -1.536059590 -1.4119357408
#> [993,] 1.529770592 1.6538944418
#> [994,] 1.418905121 1.5430289708
#> [995,] 2.520044374 2.6441682237
#> [996,] 1.489050054 1.6131739037
#> [997,] 0.161850905 0.2859747549
#> [998,] 0.072213798 0.1963376474
#> [999,] 0.550186916 0.6743107655
#> [1000,] -0.632472968 -0.5083491181