第10章假设检验习题.doc

marketing strict internal cost control, business and innovation performance. -Increasing electricity access, price increase, electricity supply is guaranteed. In 2012, the company with coal inventory, get rewards of Jiangsu provincial government power to 266 million kWh. Through the small and bilateral trade, access to electricity 1.695 billion kWh, seeking removal compensation when the power 50 million-kilowatt, 116% market share in Jiangsu Province ranked first in the same capacity, the same type units. Company closely tracked coal linkage policies on July 1 and August 20 respectively increase prices 2.08 minutes and 2.5 points, profitability increased significantly. 公 . Job grading, remuneration of labour agreements into long-term contract workers compensation system, stimulating the enthusiasm of the staff. -Further strengthening of human resources management. Full implementation of the performance appraisal regulations, incentive effect. Complete the reserve cadre evaluation and selection, produced 10 primary reserve cadres and 11 secondary reserve cadres. Implementation of operation staff induction gang system, 14 staff posts be promoted. Strengthening the cultivation of professional technical leaders, selected coverage 9 13 factory-level professional and technical leaders. To enhance staff skills training, 8 staff technicians. Labor contract law compliance, contracts of up to 100%. -Star team-building to advance further. Establish a holding system implementation, and promoting the whole team-building goals, strengthen group management. Team building into a performance review, promoting the construction of the star team depth. This year, respectively, 1 track, 4 team four star rated five-star by Datang and the team. Four, insists on six cultural construction of harmonious development, really good job of party construction and the independent Commission against corruption, strengthening the humanistic care and psychological counseling, the enterprise culture construction to a new level. -Building of enterprise culture is fruitful. Companies adhere to the Shenhua lead of corporate culture, culture of responsibility at the core, to safety culture, a culture of learning, ethical culture, cost culture culture system-assisted, through various cultural integration, has boosted business centre, this year has won the Chinese cultural management advanced unit, National Advanced Unit in the building of enterprise culture of reform and opening up 30 and other honorary titles. The liability of the company culture: solving management problems of corporate culture project was awarded the CEC national electric power enterprise culture achievement award of excellence. The accident early warning and prevention system was rated as Chinas power of innovation management, innovation management of electric power enterprise in Jiangsu Province. -Party and the independent Commission against corruption continues to strengthen. Was carried out to maintain第五章假设检验练习一、单项选择题1将由显著性水平所规定的拒绝域平分为两部分，置于概率分布的两边，每边占显著性水平的二分之一，这是（ b ）。a. 单侧检验b.双侧检验c.右侧检验d.左侧检验2.检验功效定义为（ b ）。a. 原假设为真时将其接受的概率b. 原假设不真时将其舍弃的概率c. 原假设为真时将其舍弃的概率d. 原假设不真时将其接受的概率3.符号检验中，（+）号的个数与（-）号的个数相差较远时，意味着（c ）。a.存在试验误差（随机误差）b.存在着条件误差c.不存在什么误差d.既有抽样误差，也有条件误差4.得出两总体的样本数据如下：甲：8，6，10，7，8乙：5，11，6，9，7，10秩和检验中，秩和最大可能值是（ c ）。a. 15b. 48c. 45d. 66二、多项选择题1.显著性水平与检验拒绝域关系（ a b d ）a. 显著性水平提高（变小），意味着拒绝域缩小b. 显著性水平降低，意味着拒绝域扩大c. 显著性水平提高，意味着拒绝域扩大d. 显著性水平降低，意味着拒绝域扩大化e. 显著性水平提高或降低，不影响拒绝域的变化2. 错误（ a c d e ）a. 是在原假设不真实的条件下发生b. 是在原假设真实的条件下发生c. 决定于原假设与真实值之间的差距d. 原假设与真实值之间的差距越大，犯错误的可能性就越小e. 原假设与真实值之间的差距越小，犯错误的可能性就越大三、计算题1假设某产品的重量服从正态分布，现在从一批产品中随机抽取16件，测得平均重量为820克，标准差为60克，试以显著性水平a=0.01与a=0.05，分别检验这批产品的平均重量是否是800克。解：假设检验为 (产品重量应该使用双侧检验)。采用t分布的检验统计量。查出0.05和0.01两个水平下的临界值(df=n-1=15)为2.131和2.947。因为2.1312.34(2.32)，所以拒绝原假设，无故障时间有显著增加。3回顾本章开头的案例，医院从2008年元旦出生的新生儿中随机抽取了50名，测量他们的平均体重为3300克，而2007年元旦时抽取的50名新生儿的平均体重是3200克。现假设根据以住的调查，新生儿体重的标准差是65克。试问：（1）以0.05的显著性水平，检验新生儿体重在这两年中是否有显著的变化？（2）计算检验的p-值，并根据p-值重新检验（1）中的结论。解：（1）假设检验为。新生儿体重服从正态分布，构造检验统计量。查出0.05水平下的临界值为1.645。计算统计量值。因为z1.645，所以拒绝原假设。（2）对应p值1/2*(1-F(z) ，由于z=10.878573，可以认为p值几乎等于0，拒绝原假设。（1）、（2）都说明这两年新生儿的体重显著增加了。4某加油站经理希望了解驾车人士在该加油站的加油习惯。在一周内，他随机地抽取100名驾车人士调查，得到如下结果：平均加油量等于13.5加仑，样本标准差是3.2加仑，有19人购买无铅汽油。试问：(1)以0.05的显著性水平，是否有证据说明平均加油量并非12加仑？(2)计算(1)的p-值。(3)以0.05的显著性水平来说，是否有证据说明少于20%的驾车者购买无铅汽油？(4)计算(3)的p-值。(5)在加油量服从正态分布假设下，若样本容量为25，计算(1)和(2)。解：(1)(2)假设检验为。采用正态分布的检验统计量。查出0.05水平下的临界值为1.96。计算统计量值。因为z=4.68751.96，所以拒绝原假设。对应p值2(1-F(z) ，查表得到F(z)在0.999 994和0.999 999之间，所以p值在0.000 006和0.000 001之间（因为表中给出了双侧检验的接受域概率，因此本题中双侧检验的p值1-F(|z|)，直接查表即得F(|z|)）。p值0.05，拒绝原假设。都说明平均加油量并非12加仑。(3)(4)假设检验为。采用成数检验统计量。查出0.05水平下的临界值为1.64和1.65之间。计算统计量值，因此z2.5-1.65(-1.64)，所以拒绝原假设。p值为0.00062（因为本题为单侧检验，p值(1-F(|z|)/2 ）。显然p值1.96，所以拒绝原假设。对应p值2(1-F(z) ，查表得到F(z)在0.9807和0.9817之间，所以p值在0.0193和0.0183之间（因为表中给出了双侧检验的接受域概率，因此本题中双侧检验的p值1-F(|z|)，直接查表即得F(|z|)）。显然p值-1.64，所以接受原假设。p值为0.48和0.476之间（因为本题为单侧检验，p值(1-F(|z|)/2 ）。显然p值0.05，所以接受原假设，抽样没有表明报纸订阅率显著下降。6某型号的汽车轮胎耐用里程按正态分布，其平均耐用里程为25 000公里。现在从某厂生产的轮胎随机取10个进行里程测试，结果数据如下：25 40025 60025 30024 90025 50024 80025 00024 80025 20025 700根据以上数据，检验该厂轮胎的耐用里程是否存在显著性的差异(a=0.05)。再用p-值重新检验，结论是否一致。解：由Excel得:里程数H0:平均里程25000，H1:平均里程2500025400总体平均值2500025600样本平均值(average()函数)2522025300样本标准差(=STDEV()函数)332.66624900df=n-1=925500alpha=0.052480025000t统计量2.0912924800临界值(tinv(2*0.05,n-1)1.2520025700p值(tdist(t统计量,n-1,1)0.可见，t=2.091291.，所以拒绝原假设。而p值=0.0.05，同样要拒绝原假设。抽样说明该厂轮胎耐用里程显著增加。7从某铁矿南北两段各抽取容量为10的样本，随机配成10对如下：南段含铁量28204328121648820北段含铁量2011131045151113258试用符号检验法，在a=0.05的条件下，检验“南北两段含铁量无显著差异”的假设。解：南段28204328121648820北段2011131045151113258差值符号+-+-+-+n+个数6n-个数4n个数10临界值9因为61.96，且p值=0.0480.05，所以可以拒绝原假设，两种种籽的收获量存在显著差异。9某汽油站有两种商标的汽油A和B，某天售出的50桶汽油可按商标A和B排成这样的顺序：AABAABABBAAABBABBABBABBABAABBBBAABABABAAABAAAAABB试问：在显著性水平a=0.05条件下，这一序列是否有随机性？解： 因为A (8个)，AA(4个)，AAA(2个)，AAAAA(1个)，B(7个)，BB(6个)，BBBB(1个)。n1=27，n2=23。假设检验H0:样本为随机样本，H1:样本为非随机样本。求出游程总和。R1=15，R2=14，R=29。因为，构造统计量。由于=0.05的临界值为1.96， z=0.9091.96，所以接受原假设，序列是随机的。在抓好理论学习和业务学习的同时，贴近机关实际，收听收看市政管理，街道卫生工作管理，促进了学用结合。为人民服务是党的根本宗旨。我们在市政管理建设中，牢固树立“以人为本”的服务理念，全面提升服务意识、服务效率、服务水平和服务质量，积极构建与服务对象之间的和谐关系。security, profit, maintain stability and promote harmonious development as the main content of the three guarantees theme practice activities and stressing party spirit, to conduct, for example campaign, party and further improvement of the level of work. Staff participating in the honest and clean culture construction seminars, staffs sense of probity and enhanced. Founded by honest inspectors team composed of 12 employees to broaden the channels of supervision. Adhere to establish four good leadership activities, staff satisfaction rate of 98% to the team. -Group work dynamic. Promoting the openness of factory Affairs, proposal for a love letter box, to the vital interests of the staff Trade Union delegation leader meeting of the 26 system to discuss and safeguard their democratic rights. Improve the organizational structure of the mission, the work of strengthening. Organize maintenance labor emulation and health Cup competition, enhance the skills of staff. Organized a variety of cultural activities, physical and mental health care staff, to create a harmonious atmosphere. During the Wenchuan earthquake, donated all the company employees, to love, to support the disaster areas. This year, the company has won the Su . Cutting costs can be controlled, money should not be wasted management philosophy, management analysis, to improve management quality, improve cost control capacity and market competitiveness. Innovation of science and technology-science and technology innovation is to play the role of science and technology as the primary productive force, active use of new technologies, new materials, new processes, new equipment, increase investment in science and technology, strengthening scientific and technological training, speeding up transforming scientific and technological achievements, forming a number of proprietary technology, enhancing core competitiveness. Resource-saving-the-resources saving enterprise was to reduce coal consumption, water consumption, electricity at the core, enhance the operation of lean management to realize low consumption, high efficiency, reduce production costs. Second is to str