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全国2014年4月自考数量方法(二)真题

全国2014年4月自考数量方法(二)真题
全国2014年4月自考数量方法(二)真题

绝密★考试结束前

全国2014年4月高等教育自学考试

数量方法(二)试题

课程代码:00994

请考生按规定用笔将所有试题的答案涂、写在答题纸上。

选择题部分

注意事项:

1.答题前,考生务必将自己的考试课程名称、姓名、准考证号用黑色字迹的签字笔或钢笔填写在答题纸规定的位置上。

2.每小题选出答案后,用2B铅笔把答题纸上对应题目的答案标号涂黑。如需改动,用橡皮擦干净后,再选涂其他答案标号。不能答在试题卷上。

一、单项选择题(本大题共20小题,每小题2分,共40分)

在每小题列出的四个备选项中只有一个是符合题目要求的,请将其选出并将“答题纸”

的相应代码涂黑。错涂、多涂或未涂均无分。

1.在一次《数量方法》考试中,某班的平均成绩是80分,标准差是4分,则该班考试成绩的变异系数是

A.0.05

B.0.2

C.5

D.20

2.对于峰值偏向右边的单峰非对称直方图,一般来说

A.平均数>中位数>众数

B.平均数<中位数<众数

C.平均数>众数>中位数

D.平均数<众数<中位数

3.将一枚硬币抛掷两次的样本空间Ω={00,01,10,11}(用0表示出现正面,用1表示出现反面)。“第一次出现正面”可以表示为

A.{01,11}

B.{10,11}

C.{00,01}

D.{00,11}

4.某夫妇按照国家规定,可以生两胎。如果他们每胎只生一个孩子,则他们有一个男孩和一个女孩的概率为

A.1

2

B.

1

4

1

C.1

8

D.

1

16

5.设A、B、C为任意三个事件,则“这三个事件都发生”可表示为

A.ABC

B.ABC

C.A B C

∪∪ D.ABC

6.事件A、B相互对立,P(A)=0.3,()0.7

P AB=,则P(AB)=

A.0

B.0.3

C.0.4

D.1

7.将各种方案的最坏结果进行比较,从中选出收益最大的方案,此选择准则称为

A.极小极大原则

B.极大极小原则

C.极小原则

D.极大原则

8.设总体X~U(2

,μσ),则()

P Xμ

>

A.<1/4

B.=1/4

C.=1/2

D.>1/2

9.设随机变量X服从二项分布B (20,0.6),则X的方差DX为

A. 3.6

B. 4.8

C. 6.0

D. 7.2

10.将总体单元按某种顺序排列,按照规则确定一个随机起点,然后每隔一定的间隔逐个抽取样本单元。这种抽选方法称

A.整群抽样

B.简单随机抽样

C.分层抽样

D.系统抽样

11.设X l,X2,…,X50为来自正态总体2

(,)

Nμσ的样本,则

50

1i

i

X =

∑服从

A.2

(,)

Nμσ B.2

(50,)

Nμσ

C.2

(50,50)

Nμσ D.2

(20,2500)

Nμσ

12.在抽样推断中,样本的容量

A.越少越好

B.越多越好

C.取决于统一的抽样比例

D.取决于对抽样推断可靠性的要求

2

13.在其他条件不变的情况下,若增大置信区间,则相应的置信概率

A.将变小

B.将变大

C.保持不变

D.可能变大也可能变小

14.当两个正态总体的方差己知时,欲比较两个正态总体均值的大小,可采用的检验方法为

A.F检验

B.t检验

C.Z检验

D.x2检验

15.设X1,X2,…,X n为来自总体2

~(0,)

X N 的样本,X和S2分别为样本均值和样本方差,

/S服从的分布为

A.N (0,1)

B.x2(n-1)

C.t (n-1)

D.F (n,n-1)

16.若各观测点全部落在回归直线上,则

A.估计标准误差S y=1

B.判定系数r2=0

C.回归系数b=0

D.剩余平方和SSE=0

17.对于回归方程Y=a+bx,当b<0时,表示X与Y之间

A.存在同方向变动关系

B.存在反方向变动关系

C.存在非线性关系

D.不相关

18.若己知时间数列的项数n,最初水平a0和平均增长量△,则可以求出

A.各期发展水平

B.各期发展速度

C.各期的增长量

D.平均增长速度

19.物价上涨后,同样多的人民币只能购买原有商品的96%,则物价上涨了

A.4.17%

B.4.5%

C.5.1%

D.8%

20.某种产品报告期与基期比较产量增长30%,单位成本下降35%,则生产费用支出总额为基期的

A.84.5%

B.90%

C.175.5%

D.184.5%

3

非选择题部分

注意事项:

用黑色字迹的签字笔或钢笔将答案写在答题纸上,不能答在试题卷上。

二、填空题(本大题共5小题,每小题2分,共10分)

21.按照被描述的对象与时间的关系,数据可以分为截面数据、时间序列数据和________。

22.在点估计的基础上给出一个范围,使总体参数包括在这个范围内,推断总体参数有多大的概率被涵盖在这一范围内的参数估计方法称为________。

μ的检验,若方差2σ己知,样本容量为n,样本均值为X,23.对单个正态总体均值是否等于

则检验统计量为________。

24.两个变量之间相关系数等于零,说明它们之间不存在________。

则该企业第四季度的平均职工人数为________。

三、计算题(本大题共6小题,每小题5分,共30分)

26.

题26表1

题26表2

4

5

27.灯管厂生产出一批灯管,拿出5箱给收货方抽检。这5箱灯管被收货方抽检到的概率分别为0.2,0.3,0.1,0.1,0.3。其中,第一箱的次品率为0.02,第二箱的次品率为0,第三箱的次品率为0.03,第四箱的次品率为0.01,第五箱的次品率为0.01。收货方从所有灯管中任取一只,问抽得次品的概率是多少?

28.某型号零件的寿命服从均值为1200小时,标准差为250小时的正态分布。随机抽取一个零件,求它的寿命不低于1300小时的概率。

(已知000(0.3)0.6179,(0.4)0.6554,(0.5)0.6915Φ=Φ=Φ=)

29.假设某单位员工每天用于阅读书籍的时间服从正态分布,现从该单位随机抽取了16名员工,己知他们用于阅读书籍的平均时间为50分钟,样本标准差为20分钟,试以95%的置信度估计该单位员工用于阅读书籍的平均时间的置信区间。 (已知t 0.025(15)=2.13, t 0.025(16)=2.12,t 0.05(15)=1.753, t 0.05(16)=1.746)

30.某煤矿2005年煤炭产量为25万吨,“十一五”期间(2006-2010)每年平均增长4%,以后每年平均增长5%,问到2015年该煤矿的煤碳产量将达到什么水平?

题31表

要求:(1)计算销售额指数;(2)以基期销售额为权数计算销售量指数。 四、应用题(本大题共2小题,每小题10分,共20分)

32.某农场种植的苹果优等品率为40%,为提高苹果的优等品率,该农场采用了一种新的种植技术,采用后对于500个苹果组成的随机样本的测试表明,其中有300个苹果为优等品。 (1)求该农场种植苹果的样本优等品率。(2分)

(2)该农场种植苹果的优等品率是否有显著提高(可靠性取95%)并说明理由?请给出相应假设检验的原假设和备择假设。(8分)(z 0.05=1.645, z 0.025=l.96)

33.对某市的百货商店进行抽样调查,5家被抽查的商店职工月平均销售额和利润率数据如

题33表

要求:

(1)计算人均月销售额与利润率之间的简单相关系数;(3分)

(2)以利润率为因变量,人均月销售额为自变量,建立线性回归方程;(5分)

(3)计算估计标准误差。(2分)

6

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2010年04月自考00994《数量方法(二)》历年真题及答案整理版

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全国 2010 年 4 月自学考试数量方法(二)试题
课程代码:00994
一、单项选择题(本大题共 20 小题,每小题 2 分,共 40 分) 在每小题列出的四个备选项中只有一个是符合题目要求的,请将其代码填写在题后的括号 内。错选、多选或未选均无分。 1.有一组数据 99,97,98,101,100,98,100,它们的平均数是( A.98 C.99 B.98.5 D.99.2 C )1-24 C )1-16
2.一组数据中最大值与最小值之差,称为( A.方差 B.标准差 C.全距 D.离差
3.袋中有红、黄、蓝球各一个,每一次从袋中任取一球,看过颜色后再放回袋中,共取球 三次,颜色全相同的概率为( A A.1/9 B.1/3 C.5/9 D.8/9 4.设 A、B、C 为任意三事件,事件 A、B、C 至少有一个发生被表示为( A.A C. B. D.A+B+C D )2-38 )2-53
5.掷一枚骰子,观察出现的点数,记事件 A={1,3,5},B={4,5,6},C={1,6}则 C—A=( D )2-39 B.{3,5}
A.{3,5,6} C.{1} D.{6}
自 考 备 考 三 件 宝 : 自 考 笔 记 、 真 题 及 答 案 、 录 音 课 件 !
6.已知 100 个产品中有 2 个废品,采用放回随机抽样,连续两次,两次都抽中废品的概率 为( A )2-课本无明确答案
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自考英语二考试试题及答案

自考英语二考试试题及答案

10月高等教育自学考试全国统一命题考试 英语(二) 试卷 (课程代码 00015) 本试卷共8页,满分l00分,考试时间l50分钟。 考生答题注意事项: 1.本卷所有试题必须在答题卡上作答。答在试卷上无效,试卷空白处和背面均可作草稿纸。2.第一部分为选择题。必须对应试卷上的题号使用2B铅笔将“答题卡”的相应代码涂黑。3.第二部分为非选择题。必须注明大、小题号,使用0.5毫米黑色字迹签字笔作答。 4.合理安排答题空间,超出答题区域无效。 选择题区 第一部分:阅读判断(第1~l0题,每题l分,共10分) 下面的短文后列出了l0个句子,请根据短文的内容对每个句子作出判断:如果该旬提 供的是正确信息,选择A;如果该句提供的是错误信息,选择8;如果该旬的信息文中没有提及,选择C。在答题卡相应位置上将答案选项涂黑。 Black Friday Everyone likes to shop for gifts for the holiday season, but few people know

the history of holiday shopping. While people have heard of Black Friday; most do not know its origins. Black Friday is the day after Thanksgiving (感恩节).On this day most retail stores open their doors very early一some as early as 4 am. In addition, they provide their customers with great discounts on products. With this in mind, it is clear to see why so many shoppers buy many of their Christmas gifts on Black Friday. Black Friday is not as ok! as many people think. In fact, it is believed that the first Black. Friday was held in the 1970s in the USA. It was a day when stores decided to mark the start of the holiday season In order to draw more customers, they offered great discounts. All products sold very well. This large success resulted in the name Black Friday, it was so named because the stores were "in the black". This financial term means the stoics made a lot of money. However, it was not until around that Black Friday really started to gain in popularity. Today in the USA, countless advertisers proudly announce their Black Friday sales. They hope to attract shoppers into their stores. Black Friday is a day when many shoppers in the USA go out and buy gifts, even though Christmas Eve is still a more popular day to shop. Thanks to the Internet, it is now possible to get some excellent Black Friday deals online. So if you don't want to get to the stores by 4 am, this is the perfect way to still get items at reduced prices. 1.Many people know the history of Black Friday.? A. True B. False C. Not Given 2.Most stores open their doors for business very early on Black Friday. A. True B. False C. Not Given 3.Customers get better service on Black Friday. A. True B. False C. Not Given 4.Black Friday started in the USA. A. True B. False C. Not Given 5.The holiday season ends on Black Friday. A. True B. False C. Not Given 6."In the black" is a financial term. A. True B. False C. Not Given

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