第六章课后练习

1、一、第一题3.281 第一问列13.276 方差已知平均3.27953.278z= 0.237171 标准误差 0.00088513.286 平均数3.2795中位数3.2793.279z值(双尾）1.959964不能拒绝H0众数3.2813.278标准差0.00279883.281 第二问方差7.833E-063.279 方差未知峰度2.75535153.28t值(双尾）2.262157t= 1.694798偏度1.36836313.277 t实际值0.16948 区域0.01不能拒绝H0最小值3.276最大值3.286求和32.795观测数10nxzsm0-=00:mm=H01:mmHns

2、xt0m-=00:mm=H01:mmH025.0zz ()10 2 5.0-ntt2、20%n300p35%5%临界值1.645z实际值6.4952z实际值z0.05拒绝H0npz)1(000ppp-=0111:20%,:20%HHpp= 第三题列1列1第一问：100200平均20.4 平均19.420.517.7标准误差0.3327标准误差0.32182515 F实际值1.06896551718.820.3中位数20.7 中位数19.5519.820标准差0.9411标准差0.9102589920.918.8方差0.8857方差0.8285714321.519求和163.2 求和155.21

3、9.520.1观测数8 观测数8 由于所以不能拒绝H02120.2第二问t-检验: 双样本等方差假设21.219.1变量 1变量 2平均20.419.4因为已经检验方差相等，方差0.8857142860.828571429观测值88合并方差0.857142857假设平均差0t实际值0.540061725df14t实际值t 双尾临界,因此，不能拒绝H0t Stat2.160246899P(T=t) 单尾0.024290144t 单尾临界1.761310136P(T=t) 双尾0.048580289t 双尾临界2.1447866882221ssF =22210:ss=H22211:ssH()1,1

4、212-nnFFa()=-1, 12121nnFFa()1, 1122- nnFa1 2227,7 =3.807,7 =1/7,7 =FFFaaa-（），（）（）1/3.8 0.2631580.21361.06903.802111nnsyxtp+-=22212sss=第四题n160n2 40p10.5833z实际值1.552586p20.4250.01z实际值：，：212211nnpnpnp+=第五题非正态分布大样本n180n2 60 x119.5x223.7 z实际值-1.7052s112s216z实际值z单尾值，拒绝H0z0.05（单侧）1.644854222121nsnsyxz+-=01

5、2112:,:HHmmmm= 第六题n1=256n2=215=0.05：教育程度教育程度第一问第二问z-检验: 双样本均值分析z-检验: 双样本均值分析平均14.4258平均12.3738标准误差0.1869标准误差0.1593教育程度教育程度教育程度教育程度中位数15 中位数12平均14.4257812.3738平均14.425812.3738众数15 众数12已知协方差8.943495.4277已知协方差8.94355.4277标准差2.9906标准差2.3297观测值256214 观测值256214方差8.9435方差5.4277假设平均差2假设平均差1峰度-0.0685峰度-0.230

6、1z z0 0. .2 21 11 15 55 57 7z z4 4. .2 28 83 39 9偏度-0.4492偏度-0.2533P(Z=z)P(Z=z) 单单尾尾 0 0. .4 41 16 62 22 26 6P(Z=z)P(Z=z) 单单尾尾0 0. .0 00 00 00 0区域13 区域9 z z 单单尾尾临临界界 1 1. .6 64 44 48 85 54 4z z 单单尾尾临临界界1 1. .6 64 44 49 9最小值8 最小值8 P(Z=z) 双尾 0.832452P(Z-mm222121nsnsyxz+-=拒绝1()1,1212-nnFFa序序号号性性别别教教育育程

7、程度度性性别别教教育育程程度度性性别别教教育育程程度度1m12m12f12n1=2562f12m12f16n2=2153f16m15f16=0.054f16m16f15：5f15m15f12教育程度6m12m15f87m15m15f12平均8m16m8f15标准误差9f12m15f12中位数10f8m12f16众数11m15m12f15标准差12m15m15f12方差13m15m16f16峰度14f12m12f15偏度15f15m12f12区域16f12m15f15最小值17f16m19f8最大值18m8m15f15求和19m15m19f12观测数20f15m15f1521m12m12f122

8、2m12m19f1523m15m15f1624m16m19f1225m12m17f1526f12m12f1527f16m15f1528m12m16f1229f15m15f1230f12m12f1631f15m8f1632m15m12f1233m19m12f1234m15m15f1235m19m16f836m15m12f837m12m15f1238m19m18f839m15m12f1240m19m12f1241m17m15f1242f8m15f1243m12m15f1244m15m12f1245m16m8f1246f15m16f1247f12m17f1248m15m16f1649m12m8f15

9、50m8m19f1551m12m16f1252f15m16f1653f12m16f1254m12m15f1655m15m17f1256m16m15f857m12m15f1258m15m12f1559m18m19f1260m12m19f1261m12m8f862m15m17f1563m15m8f1264f15m18f1265m15m16f1266m12m14f1267m8m19f1668m16m15f1569m17m15f1570m16m19f1271m8m12f1272m19m15f1673m16m12f1574m16m12f1675m16m16f1276m15m14f1277m17m15f1

10、278f16m15f1279f12m12f1280f15m15f1281f15m12f1282f15m17f883f12m20f1284f12m15f1285f16m12f1586f16m15f1287f12m12f1688f12m21f1289f12m12f890f8m12f1291m15m18f1292m15m15f1293m12m12f1594m19m12f895m19m16f1296f8m8f1597f12m15f1698f8m15f1299f12m16f15100f12m16f12101f12m16f8102m8m15f12103m17m12f12104m8m12f12105f12m

11、12f16106m18m20f8107m16m8f12108m14m8f12109m19m12f8110m15m15f12111m15m15f12112m19m8f12113f12m15f12114f12m16f12115m12m12f15116m15m15f12117m12m19f8118m12m16f12119m16m17f12120m14m12f12121m15m15f12122m15m12f12123f12m15f12124f12m16f12125f12m12f16126f16m15f12127f15m15f16128f15m15f8129f12m15f12130f16m8f12131

12、m12m15f12132m15m16f12133m12m15f15134f12m12f15135m17m12f12136m20m15f12137m15m16f12138m12m19f12139m15m15f12140f16m15f12141f12m19f12142m12m12f15143m21m18f12144m12m12f8145f8m19f12146f12m19f16147f15m8f15148f12m12f12149f12m15f12150f8m15f8151m12m15f8152m18m18f8153m15m12f12154f15m16f12155m12m12f15156m12m16f

13、12157m16m8f16158m8m14f17159f12m19f12160f12m19f12161m15m8f8162m15m15f12163f12m16f8164f12m15f15165f16m17f12166m16m18f12167m16m12f12168m16m14f8169m15m15f12170f15m12f8171f15m8f12172f12m12f12173f12m16f12174f16m12f16175m12m8f16176m12m12f8177m12m12f8178f15m15f12179m20m16f12180m8m15f15181m8m15f12182f16m16f1

14、2183f12m15f12184f12m12f8185m12m16f12186f12m15f12187f12m12f12188f12m8f12189m15m12f12190m15m18f12191m8m18f12192m15m15f12193m16m8f12194f12m16f12195f12m12f12196f8m16f8197f12m12f12198m12m12f12199f12m15f16200f15m15f12201f12m16f15202f16m14f12203m15m15f12204m19m12f8205m16m15f15206m17m12f12207m12m15f8208m15m

15、15f12209m12m17f12210m15m12f12211m16m17f12212m12m12f8213m15m8f16214f12m19f15215f8m14216m15m19217m15m17218m15m15219m8m19220f12m19221f12m8222m15m15223m16m15224m15m15225m12m15226m12m15227f12m19228f15m15229f8m15230f12m16231f15m8232f16m15233f12m8234f15m19235f12m18236m15m12237m16m12238m19m16239m15m15240m15

16、m12241m19m8242f8m15243f12m15244f12m16245f12m15246f16m16247f8m19248f12m15249f12m12250f8m15251f12m19252f12m16253f12m19254f12m15255f12m19256f15m19257f12258m12259f8260m18261m12262m19263m19264m8265f12266f12267f12268f12269f12270f12271f12272f16273f12274m12275m15276m15277m15278m18279m12280m16281m12282m16283

17、f16284f8285f12286f12287m8288m14289m19290m19291m8292m15293m16294m15295m17296m18297m12298m14299m15300m12301m8302m12303f12304f12305f15306m16307m12308m8309m12310f15311m12312m15313m16314m15315m15316m16317f12318f12319f12320f12321f12322m15323m12324m16325m15326m12327f12328f12329f15330f12331f8332m8333m12334m

18、18335m18336m15337f12338f16339f15340f12341m8342m16343f12344f8345f8346f8347m12348f12349m16350m12351f12352f15353f12354f16355f17356f12357f12358f8359m12360f12361m15362m15363f8364f15365f12366f12367f12368f8369m16370f12371f8372f12373f12374f12375m14376f16377f16378m15379m12380m15381m12382m15383m15384f8385f838

19、6f12387m17388m12389m17390f12391m12392m8393m19394m14395m19396f15397f12398f12399f12400f8401f12402f12403f12404f12405f12406f12407f12408f12409f12410f12411f12412m17413m15414m19415m19416f8417f12418f12419f16420m8421m15422m15423m15424m15425m15426m19427m15428m15429f12430f15431f12432m16433m8434m15435m8436m1943

20、7m18438m12439m12440m16441m15442m12443m8444m15445f12446f8447f15448f12449f8450f12451m15452m16453m15454f12455m16456m19457m15458m12459m15460m19461m16462m19463m15464m19465f12466f12467f8468f16469f15470m19第一问第二问教育程度z-检验: 双样本均值分析z-检验: 双样本均值分析14.42578125 平均12.373830.186910423 标准误差0.159257教育程度教育程度教育程度15 中位数12

21、 平均14.42578 12.37383 平均14.4257815 众数12 已知协方差8.94349 5.427669 已知协方差8.943492.990566766 标准差2.329736 观测值256214 观测值2568.943489583 方差5.427669 假设平均差2假设平均差1-0.068506443 峰度-0.23007 z0.211557z4.283925-0.44921973 偏度-0.25325 P(Z=z) 单尾0.416226P(Z=z) 单尾9.18E-0613 区域9 z 单尾临界1.644854z 单尾临界1.6448548 最小值8 P(Z=z) 双尾0.

22、832452P(Z-mm222121nsnsyxz+-=121mm-121mm-0H1H教育程度教育程度12.373835.427669214222121nsnsyxz+-=经济学序号成绩贸易经济序号成绩186180292279392367499480578592661665790782881848997994109610921179114712681264135813821493148715791588166416621777176118911888199419912092207521872164228322702391236724862463258125622673266327752780

23、287328752979296830743066319131583270325333453353347034743566358336743694()()21121222211-+-+-=nnsnsnspt-检验: 双样本等方差假设t-检验: 双样本等方差假设成绩成绩成绩成绩平均80.13889 72.69444 平均80.13889 72.69444方差153.5516180.504 方差153.5516180.504观测值3636 观测值3636合并方差167.0278合并方差167.0278假设平均差0假设平均差0df70df70t Stat2.443848t Stat2.443848P(

24、T=t) 单尾0.008527P(T=t) 单尾 0.008527t 单尾临界2.380807t 单尾临界1.666914P(T=t) 双尾0.017055P(T=t) 双尾 0.017055t 双尾临界2.647905t 双尾临界1.9944372111nnsyxtp+-=()()21121222211-+-+-=nnsnsnsp训练前119107 t-检验: 成对双样本均值分析18911195202138101变量 1变量 222011391 平均122.1102.120207128109 方差107.8778 100.3222194115113 观测值101017710992 泊松相关系

25、数0.48372119312690 假设平均差0202125104 df9208137119 t Stat6.098367233P(T=t) 单尾8.98E-05t 单尾临界1.833113P(T=t) 双尾0.00018t 双尾临界2.262157训练后170 t-检验: 成对双样本均值分析179203训练前训练后192 平均202.5182.9173 方差253.6111 199.6556161 观测值1010174 泊松相关系数0.965091187 假设平均差17186 df9204 t Stat1.889556P(T=t) 单尾0.045701t 单尾临界1.833113P(T=t)

26、 双尾0.091401t 双尾临界2.262157序号成绩成绩成绩11002100平均87.25 平均87.25391标准误差2.918843 标准误差2.918843495中位数95.5 中位数95.5572众数98 众数98693标准差17.51306 标准差17.51306796方差306.7071 方差306.7071833峰度3.091897 峰度3.091897977偏度-1.91876 偏度-1.918761079区域67 区域671198最小值33 最小值331237最大值100 最大值1001393求和3141 求和31411499观测数36 观测数361597最大(1)100 置信度(99.0%)7.950361693最小(1)331799置信度(95.0%)5.925566181001997t统计量1.79865820762198对应概率0.04035122981.68957245823962.723805589249825972688279428902999306031963267335234873599369782.318492.181679.29964 95.20036如如果果总总体体方方差差 已已知知如如果果正正态态总总体体方方差差 未未知知两两个个正正态态总总体体的的方方差差 和