工程统计方法与实践作业minitab练习.docx

第1题对某种混凝土的抗拉强度进行研究，得到它的子样的下列数据：45936262454250958443374881550561245243498264074256570659368092665316448773460842811535938445275525137814743888245388626597758597554906975156289547716094029608856102928374736773586386996345555708404166061062484120试用Minitab软件计算样本均值、样本方差、样本极差、样本离差、并用直方图反映这些数据的分布情况。步骤：答案：步骤：答案：第2题试用Minitab 计算下列各式的值：（1） 当随机变量x服从均值为2，方差为4的正态分布时，计算x=3时的累积概率密度值为多少？（2） 当随机变量x服从标准正态分布时，计算x=3时的累积概率密度值为多少？（3） 当随机变量x服从第一自由度为2，第二自由度为4的F分布时，求虚报概率为0.1时的F分布上侧分位数为多少？（1） 步骤：答案：（2）步骤：答案：（3）答案：第3题从自动车床加工的一批零件中随机地抽取16件零件，测得各零件的长度如下（单位：cm）：2.15，2.10，2.12，2.10，2.14，2.11，2.15，2.13，2.11，2.14，2.13，2.12，2.13，2.10，2.14，2.13。假设零件的长度服从正态分布，试求零件长度标准差的置信水平为的置信区间。步骤：答案：第4题某机床厂加工一种零件，根据经验知道，该厂加工的零件的椭圆度渐近服从正态分布，其总体均值为0.081 mm，总体标准差为0.025 mm。今另换一种新机床进行加工，取200个零件进行检验，得到椭圆度均值为0.076mm。试问新机床加工零件的椭圆度总体均值与以前有无显著差别(已检定新机床的总体标准差为0.025mm)，规定显著性水平为 a=0.05 。步骤： 答案：第5题两台车床生产同一种型号的滚珠，已知两车床生产的滚珠直径和分别服从，其中均未知，从甲乙两车床的产品中分别抽出25件和15件，测得样本方差，求两总体方差比的置信水平为的置信区间。步骤：答案：第6题为提高某化工厂产品的强度，选取反应温度作为试验因素，确定80()、100()、130()三个水平，每个水平重复试验6次，其试验数据如下表所示，试计算寻找得到最佳温度条件，并用Minitab软件进行验算计算寻找得到最佳温度条件的正确性。表 试验数据表水平重复试验次数29.629.829.529.029.329.130.530.030.630.330.429.829.329.029.429.229.228.6步骤：答案：第7题在某化工过程中，为了提高原材料利用率，采用重复的二因子试验设计，其试验数据如下表所示，试对这些数据进行方差分析，并找出最佳条件组合，并用Minitab软件进行验算计算寻找得到最佳温度条件的正确性。表 试验数据表因素0.620.570.620.600.650.690.680.650.720.710.730.770.740.770.840.860.870.86步骤：答案：步骤：答案：第8题我国31个省市自治区的人均食品支出与人均收入数据见数据如下。试以人均食品支出为因变量、以人均收入为自变量建立回归方程并进行分析地区人均食出粮食单价人均收入19920.78251227720.67200839681.012139412671.37332958740.72210666380.73164176210.77161187110.72168496540.71951105400.741532116440.841612127670.71727137230.632045147630.7519631510721.212675176650.716831812340.982925195760.651691207330.841929219681.492032227170.81906237160.721705246270.611542258290.719872610161.042359266500.781764279281.012087286500.831959298520.722101306090.681877318630.982006步骤：答案：第9题某矿井2006年煤质数据见数据文件如下。试以发热量为因变量、以其他有关变量为自变量建立回归方程。日期序号水分灰分硫分发热量1.0017.605.420.445,740.002.0017.305.580.485,760.003.0016.605.600.455,800.004.0016.405.390.435,850.005.0016.305.600.445,830.006.0016.405.470.435,850.007.0016.905.500.445,810.008.0016.605.100.425,890.009.0016.505.420.435,860.0010.0017.305.390.455,810.0011.0017.305.540.475,750.0012.0017.605.710.455,740.0013.0017.505.680.425,750.0014.0018.005.740.455,690.0015.0018.205.930.475,680.0016.0018.306.280.545,620.0017.0016.805.720.525,800.0018.0017.306.010.505,730.0019.0017.405.560.485,740.0020.0019.505.670.505,580.0021.0018.406.230.485,650.0022.0017.106.360.505,730.0023.0016.406.120.405,800.0024.0016.206.320.505,810.0025.0016.706.390.495,760.0026.0016.506.260.495,770.0027.0016.506.210.475,790.0028.0016.606.340.535,760.0029.0016.306.120.515,820.0030.0015.805.880.495,850.0031.0016.206.030.495,830.0032.0015.905.680.525,850.0033.0016.705.920.505,790.0034.0016.205.560.505,830.0035.0016.905.690.565,790.0036.0016.405.550.475,860.0037.0016.805.540.505,830.0038.0016.505.440.475,860.0039.0016.305.430.435,860.0040.0016.305.540.465,860.0041.0016.005.570.475,880.0042.0016.605.610.475,810.0043.0016.505.610.485,810.0044.0016.305.210.445,870.0045.0016.705.460.475,830.0046.0016.905.590.455,790.0047.0017.005.760.445,770.0048.0017.505.370.455,780.0049.0019.405.520.445,610.0050.0016.708.530.545,590.0051.0019.1012.690.405,150.0052.0020.009.370.395,320.0053.0017.506.550.465,700.0054.0018.307.010.455,600.0055.0018.808.090.415,500.0056.0017.906.650.495,670.0057.0016.905.670.395,780.0058.0017.305.610.415,770.0059.0017.006.380.445,700.0060.0016.105.630.425,840.0061.0016.505.410.405,840.0062.0016.405.620.405,800.0063.0016.605.380.435,830.0064.0016.905.640.435,770.0065.0016.705.970.395,780.0066.0016.505.650.375,830.0067.0016.805.700.445,760.0068.0017.105.890.445,740.0069.0017.106.160.465,720.0070.0017.605.780.415,680.0071.0016.905.930.425,750.0072.0016.805.650.395,780.0073.0017.005.600.405,790.0074.0016.805.650.385,810.0075.0016.305.740.415,860.0076.0017.305.700.435,760.0077.0017.105.790.405,740.0078.0016.905.390.405,810.0079.0017.405.560.405,740.0080.0016.705.800.385,810.0081.0017.105.300.395,790.0082.0017.005.770.435,760.0083.0016.905.510.435,780.0084.0016.905.020.405,830.0085.0016.505.110.385,850.0086.0017.105.320.425,800.0087.0016.905.190.405,800.0088.0017.305.360.415,770.0089.0017.405.320.415,770.0090.0017.005.940.495,720.0091.0016.805.600.455,800.0092.0016.705.240.405,810.0093.0017.205.830.455,770.0094.0018.205.050.405,740.0095.0017.505.100.385,800.0096.0018.205.180.345,710.0097.0017.105.610.425,800.0098.0016.505.820.475,820.0099.0017.205.890.475,750.00100.0016.905.580.465,800.00101.0017.705.730.425,720.00102.0017.205.540.385,790.00103.0017.105.060.405,860.00104.0017.405.270.405,800.00105.0017.204.970.425,820.00106.0018.005.310.545,730.00107.0017.805.450.445,740.00108.0017.705.390.425,760.00109.0017.705.410.465,780.00110.0018.105.650.465,690.00111.0017.305.140.425,790.00112.0018.005.270.415,710.00113.0017.604.960.405,780.00114.0019.205.040.325,650.00115.0018.905.460.365,650.00116.0018.405.360.415,700.00117.0018.405.410.455,700.00118.0017.405.740.505,750.00119.0018.205.800.485,690.00120.0017.605.520.435,760.00121.0016.705.420.385,830.00122.0017.205.480.485,760.00123.0016.405.410.415,830.00124.0016.805.330.445,830.00125.0016.505.380.405,840.00126.0015.705.350.415,880.00127.0017.005.660.435,770.00128.0018.005.720.465,700.00129.0017.806.240.425,700.00130.0018.105.690.415,660.00131.0016.805.280.425,780.00132.0017.605.780.465,730.00133.0018.405.660.455,670.00134.0017.205.730.455,790.00135.0017.005.920.485,770.00136.0017.106.070.505,740.00137.0016.805.860.455,760.00138.0016.806.330.455,730.00139.0016.906.110.485,750.00140.0016.805.620.415,740.00141.0015.905.820.415,840.00142.0016.906.150.425,750.00143.0017.406.020.425,700.00144.0016.905.510.405,760.00145.0017.405.370.445,720.00146.0017.605.970.425,690.00147.0016.708.760.715,600.00148.0016.605.710.435,770.00149.0016.006.280.455,790.00150.0016.206.710.415,780.00151.0016.107.020.425,760.00152.0016.1010.320.505,510.00153.0016.4010.520.565,490.00154.0015.006.370.495,890.00155.0016.3010.090.505,540.00156.0019.406.010.465,600.00157.0016.606.870.485,720.00158.0017.405.900.435,740.00159.0017.405.890.505,740.00160.0018.105.450.535,670.00161.0016.206.930.435,760.00162.0015.805.940.415,900.00163.0016.605.760.435,840.00164.0016.005.720.515,820.00165.0017.206.370.525,720.00166.0016.005.870.535,830.00167.0016.305.900.545,800.00168.0015.905.710.565,810.00169.0015.305.950.555,820.00170.0016.806.680.505,730.00171.0016.706.470.515,700.00172.0017.006.430.525,750.00173.0016.706.510.525,770.00174.0016.605.800.465,830.00175.0015.906.260.575,830.00176.0016.005.730.525,890.00177.0016.106.220.505,820.00178.0016.206.130.445,790.00179.0016.406.120.445,790.00180.0016.706.460.425,740.00181.0016.806.320.535,710.00182.0016.406.290.425,760.00183.0016.006.700.575,760.00184.0015.606.460.495,840.00185.0015.707.010.545,800.00186.0016.106.600.475,810.00187.0016.006.160.485,830.00188.0016.305.930.525,830.00189.0016.206.390.515,770.00190.0016.006.550.485,780.00191.0016.106.300.495,820.00192.0016.206.070.425,780.00193.0016.306.600.445,750.00194.0016.506.800.515,750.00195.0016.106.360.535,820.00196.0016.806.180.475,760.00197.0016.306.040.465,820.00198.0016.006.100.555,840.00199.0016.206.620.555,770.00200.0015.905.730.475,890.00201.0015.905.550.475,870.00202.0016.706.630.595,760.00203.0016.806.590.565,760.00204.0016.409.160.555,610.00205.0016.3010.940.525,480.00206.0016.6010.610.515,480.00207.0016.509.530.475,560.00208.0016.709.790.535,490.00209.0016.9010.180.575,480.00210.0016.8010.580.615,460.00211.0017.009.080.535,590.00212.0017.306.420.615,740.00213.0017.106.620.625,690.00214.0016.905.670.585,780.00215.0016.406.010.625,800.00216.0016.305.540.575,830.00217.0016.205.820.605,810.00218.0016.205.850.595,800.00219.0016.606.790.695,670.00220.0016.806.380.565,760.00221.0016.606.560.575,720.00222.0016.906.320.545,760.00223.0016.306.260.545,810.00224.0016.305.900.565,820.00225.0016.105.850.615,850.00226.0017.005.960.565,800.00227.0016.005.820.515,850.00228.0016.005.750.535,840.00229.0016.705.900.555,760.00230.0016.105.750.625,870.00231.0017.005.740.585,760.00232.0016.707.160.595,680.00233.0016.806.330.575,740.00234.0016.506.300.535,780.00235.0016.206.250.615,840.00236.0016.706.220.585,780.00237.0016.906.420.555,730.00238.0016.706.220.615,780.00239.0016.707.060.575,670.00240.0016.506.080.515,750.00241.0017.105.940.485,710.00242.0016.606.350.495,720.00243.0016.806.300.495,720.00244.0016.806.160.565,770.00245.0016.806.010.595,790.00246.0016.505.750.575,830.00247.0016.806.030.525,760.00248.0016.806.440.565,730.00249.0016.905.700.485,730.00250.0016.905.920.485,790.00251.0016.606.200.505,760.00252.0018.305.930.465,630.00253.0018.006.170.485,700.00254.0018.106.160.555,670.00255.0017.105.070.415,840.00256.0017.705.990.445,700.00257.0016.905.690.445,800.00258.0017.705.500.475,730.00259.0016.906.460.525,740.00260.0017.406.890.535,630.00261.0016.906.140.625,730.00262.0016.806.830.535,680.00263.0017.406.260.585,680.00264.0017.205.910.485,710.00265.0018.005.880.515,690.00266.0017.605.860.505,710.00267.0017.006.950.565,680.00268.0016.208.460.535,640.00269.0018.005.960.525,640.00270.0017.107.140.545,650.00271.0018.007.360.655,560.00272.0017.007.060.525,640.00273.0017.207.240.515,630.00274.0017.306.690.515,640.00275.0017.306.370.445,700.00276.0016.806.320.495,710.00277.0016.705.850.545,780.00278.0016.606.070.425,760.00279.0016.905.890.515,740.00280.0016.906.690.515,700.00281.0017.606.710.515,620.00282.0017.006.680.545,710.00283.0017.106.650.545,650.00284.0017.206.350.505,710.00285.0016.906.920.505,650.00286.0017.107.230.465,650.00287.0016.706.980.495,690.00288.0017.007.570.515,650.00289.0016.706.150.455,740.00290.0016.607.630.475,650.00291.0016.907.520.475,610.00292.0016.509.760.525,520.00293.0016.708.270.545,560.00294.0017.308.790.515,510.00295.0017.607.510.505,600.00296.0017.606.840.515,660.00297.0017.606.700.475,640.00298.0016.907.170.505,690.00299.0017.207.280.525,640.00300.0017.406.200.495,700.00301.0017.306.510.495,690.00302.0016.004.460.535,770.00303.0017.806.460.485,640.00304.0016.806.220.525,720.00305.0018.207.510.465,600.00306.0017.707.580.455,590.00307.0015.905.770.405,820.00308.0016.605.920.455,750.00309.0017.106.260.535,710.00310.0017.306.370.455,680.00311.0017.206.300.485,710.00312.0017.206.360.505,700.00313.0018.206.560.545,650.00314.0018.006.760.505,660.00315.0018.206.580.545,620.00316.0016.308.160.965,650.00317.0017.407.240.525,630.00318.0018.406.980