| Post Name | STATISTICAL ASSISTANT GR II |
|---|---|
| Department | ECONOMICS AND STATISTICS |
| Question Paper Code | 005/2015/OL |
| Category Code | 165/2012, 005/2015 |
| Date of Test | 21 April 2015 |
| Medium of Question | ENGLISH |
| Exam Type | Online Examination |
| Total Questions | 100 |
1
S N D P Yogam was established in the year
Answer
A. 1903
2
Which one of the following is not a fundamental right ?
Answer
B. Right to property
3
The Article related with special privilege of Jammu and Kashmir
Answer
A. Article 370
4
Who was the founder of Sadhu Jana Paripalana Sangham ?
Answer
D. Ayyankali
5
The temple entry proclamation of 1936 was issued by
Answer
B. Sri Chithira Thirunal
6
The poem 'Jathikkummi' was written by
Answer
D. Pandit K P Karuppan
7
The Malayalam novelist who used the pen name 'Vilasini'
Answer
A. M K Menon
8
Human Rights Day is celebrated on
Answer
C. December 10
9
The father of White Revolution in India
Answer
C. Varghese Kurian
10
ISRO Space craft 'Mangalayan' entered in the martian orbit in ____
Answer
D. 24 September 2014
11
Who is the founder of social networking site 'Facebook' ?
Answer
C. Mark Zuckerberg
12
In which District Edakkal caves are situated ?
Answer
B. Wayand
13
Kerala Kalamandalam was established in
Answer
C. 1930
14
The Channar agitation is mainly for
Answer
D. Right to wear upper body cloth
15
Who is the author of the drama 'Adukkalyilninnum Arangathekku ' ?
Answer
A. V T Bhattathiripad
16
Who was the editor of the literary journal 'Vivekodyam' which started publication in Kerala in 1904 ?
Answer
D. Kumaran Asan
17
The father of Library movement in Kerala
Answer
B. Puthuvayil Narayana Panicker
18
Who among the following is not related with the 'Abstention movement' ?
Answer
A. A K Gopalan
19
The Indian who won the Nobel Prize for peace in 2014
Answer
C. Kailash Satyarthi
20
The Right to Information Act came into force in ____
Answer
B. 12 October 2005
21
Which measure of location will be suitable to compare heights of students in two classes?
Answer
A. Mean
22
The geometric mean of 2, 4, 16 and 32 is
Answer
C. 8
23
The strength of seven colleges in a city are 385,1748,1343,1935,786,2874 and 2108. Then the median strength is
Answer
B. 1748
24
The mean and median of 100 items are 50 and 52 respectively. The value of the largest item is 100. It was later found that it is actually 110. Therefore, the true mean is ___ and the true median is ___
Answer
A. 50.1, 52
25
10 is the mean of a set of 7 observations and 5 is the mean of a set of 3 observations. The mean of a combined set is given by
Answer
C. 8.5
26
A distribution with more than two modes is called
Answer
C. multimodal
27
The algebraic sum of the deviations of a set of n values from their arithmetic mean is
Answer
B. 0
28
When xįµ¢ and yįµ¢ are two variables (i = 1,2,ā¦,n) with geometric means Gā and Gā respectively, the geometric mean of xįµ¢/yįµ¢ is:
Answer
A. Gā/Gā
29
The mean of the distribution, in which the value of x are 1,2,...,n, the frequency of each being unity is ( nn +1)
Answer
C. 2
30
The mean of 20 observations is 15. On checking it was found that two observations were wrongly copied as 3 and 6. If wrong observations are replaced by correct values 8 and 4, then the correct me
Answer
A. 15.15
31
Sum of absolute deviations about median is
Answer
A. least
32
If each of a set of observations of a variable is multiplied by a constant (non-zero) value, the variance of the resultant variable
Answer
B. increases
33
The standard deviation of a distribution is 5. The value of the fourth central moment Āµ 4 in order that the distribution be mesokurtic should be
Answer
C. equal to 1875
34
In a frequency curve of scores the mode was found to be higher than the mean. This shows that the distribution is
Answer
B. negatively skewed
35
The probability of drawing any one spade card from a pack of cards is 1
Answer
D. 4
36
A coin is tossed three times in succession, the number of sample points in sample space is
Answer
B. 8
37
A single letter is selected at random from the word 'probability'. The probability that it is a vowel is 3
Answer
C. 11
38
A number is chosen at random among the ļ¬rst 120 natural numbers. The probability of the number chosen being a multiple of 5 or 15 is 1
Answer
A. 5 1
39
If A and B are two independent events, the probability that both A and B occur is and the probability that neither of them occurs is . The probability of the occurrence of A is 8 8 1
Answer
A. 2 1
40
An urn contains 9 balls, two red, three blue and four black. Three balls are drawn at random. The chance that they are of the same colour is:
Answer
A. 5/84
41
In the simultaneous tossing of two perfect coins, the probability of having atleast one head is 1
Answer
C. 4
42
For two events E1, E2 ) if P(E1= , P(E ā 2 =, P(E uE ā =then P(E1 ) is equal to nE2 2 ā 3 1ā 2 3 1
Answer
B. 6 2
43
If P(A|B) = 1/4 and P(B|A) = 1/3, then P(A)/P(B) is equal to:
Answer
A. 3/4
44
If Pā(x) and Pā(y) are the marginal probability functions of two independent discrete random variables X and Y, then their joint probability function P(x,y) is:
Answer
B. Pā(x)Pā(y)
45
The function f(x) deļ¬ned as f(x)=āØ is a possible āŖ ā©0elsewhere
Answer
A. density function
46
For two random variables X and Y, the relation E(XY)=E(X)E(Y) holds good
Answer
A. if X and Y are statistically independent.
47
Var(2X Ā± 3), if Var(X) = 1, is:
Answer
C. 4
48
E(X ā k)Ā² is minimum when:
Answer
C. k=E(X)
49
The height of persons in a country is a random variable of the type
Answer
A. continuous random variable
50
If X is a random variable, E(e tX ) is known as
Answer
B. moment generating function
51
The mean and variance of a binomial distribution are 8 and 4 respectively. Then P(X=1) is equal to 1
Answer
D. 1/2Ā¹Ā²
52
A probability distribution in which mean is equal to variance is
Answer
D. Poisson
53
An experiment succeeds twice as often as it fails. The chance that in the next six trials, there shall be atleast four successes is 240
Answer
D. 729
54
The skewness in a binomial distribution will be zero, if 1
Answer
D. p = 1/2
55
The characteristic function of Poisson distribution is (
Answer
C. e ā ā
56
The coeļ¬cient of variation of Poisson distribution with mean 4 is 1
Answer
B. 4
57
If X is a normal variate representing daily income in rupees with mean 50 and S.D. 10, and the number of workers in a factory is 1200, then the number having income more than Rs. 62 is: (0.3849 is given for the standard normal variate.)
Answer
C. 138
58
If X ~ Exp(5), then the probability density function of X is
Answer
A. 5e ā5x , x>0
59
The distribution for which mode does not exist is
Answer
C. continuous rectangular distribution
60
Assume that student heights are distributed as N(Ī¼, ĻĀ²). Of a large number of students, 5% are above 72 inches and 10% are below 60 inches. Find the mean and standard deviation. Given Ļ(zā) = 0.45, zā = 1.64; Ļ(zā) = 0.4, zā = 1.28, where Ļ(z) = ā«āį¶» f(z) dz.
Answer
D. Ī¼ = 65, Ļ = 4
61
A box contains 12 items out of which 4 are defective. A person selects 6 items from the box. The expected number of defective items out of his selected items is
Answer
A. 2
62
If X is a normal variate with mean 20 and variance 64, the probability that X lies between 12 and 32 is: (Given z: ā1.0, 1.5; Ļ(z): 0.3143, 0.4332.)
Answer
C. 0.7475
63
If Z is a standard normal variate, the proportion of items lying between z = ā0.5 and z = ā3.0 is:
Answer
C. 0.3072
64
Factorization theorem for suļ¬ciency is known as
Answer
D. Fisher-Neyman theorem
65
If the expected value of an estimator is not equal to its parametric function Ļ Ī ) , it is said to be a
Answer
B. biased estimator
66
An estimator Tn of Īø is said to be more eļ¬cient than any other estimator T ā
n _( ) of Īø if and only if
Answer
D. All the above
67
If ĻĀ² is the population variance and sĀ² = (1/n)Ī£įµ¢āāāæ(Xįµ¢ ā XĢ)Ā² is the sample variance, then sĀ² is an unbiased estimate of
Answer
D. [(n ā 1)/n]ĻĀ²
68
The sample median is _______________ estimate for the mean of normal population.
Answer
C. unbiased and consistent
69
If a suļ¬cient estimator exists it is a function of the _______ estimator.
Answer
C. maximum likelihood estimator
70
The credit of inventing the method of moments for estimating the parameter goes to
Answer
D. Karl Pearson
71
Cramer-Rao inequality with regard to the variance of an estimator provides
Answer
B. lower bound on the variance
72
If Xā, Xā, ā¦, Xā is a random sample from N(0, ĻĀ²), the sufficient statistic for ĻĀ² is
Answer
B. Ī£Xįµ¢Ā²
73
Estimate and Estimator are
Answer
C. diļ¬erent
74
The idea of testing of hypothesis was ļ¬rst set forth by
Answer
B. J.Neyman
75
A wrong decision about H0 leads to
Answer
B. two kinds of errors
76
In terms of type-II error Ī² and Īø, the true parameter, the function 1 ā Ī²(Īø) is called:
Answer
B. power function
77
A population is distributed as N(Āµ, ) . A 10.24sample of 576 items has a mean 4.7. The value of the statistic Z to test H 0 = :Āµ 5.2 is
Answer
C. -3.75
78
A sample of 12 specimens from a normal population expected to have mean 50 mg/cc has sample mean 64 mg/cc and variance 25. To test Hā: Ī¼ = 50 versus Hā: Ī¼ ā 50, use:
Answer
D. t-test
79
Testing Hā: Ī¼ = 1500 against Hā: Ī¼ < 1500 leads to:
Answer
A. one-sided lower tailed test
80
The mean diļ¬erence between 9 paired observations is 15.0 and the standard deviation of diļ¬erences is 5.0. The value of statistic t is
Answer
B. 9
81
Range of statistic t is
Answer
B. ā ā to ā
82
Given the following eight sample values -4, -3, -3, 0, 3, 3, 4, 4 the value of student's t-statistc to test H : 0 Āµ =0 is
Answer
D. 0.41
83
In a contingency table, the expected frequencies are computed under
Answer
A. null hypothesis H0
84
The term regression was introduced by
Answer
B. Sir Francis Galton
85
If Ī²Y X and Ī²XY are two regression coeļ¬cients they have
Answer
A. same sign
86
The lines of regression intersect at the point
Answer
D. (X ,Y Ģ
Ģ
Ģ
Ģ
)
87
If a constant 50 is subtracted from each of the value of X and Y, the regression coeļ¬cient is
Answer
D. not changed
88
If Ļ is the simple correlation coeļ¬cient, the quantity Ļ 2 is known as
Answer
A. coeļ¬cient of determination
89
The range of simple correlation coeļ¬cient is
Answer
D. -1 to 1
90
The hypothesis for a speciļ¬c known value of Ļ can be tested by
Answer
B. Z-test 7 of 8 05/25/2015 03:06 PM Home Page http://192.168.1.6/psc/modules/marklist/answer_sheet/pr...
91
A measure of linear association of a variable with a number of other variables is known as
Answer
D. multiple correlation
92
Given the regression lines X + 2Y ā 5 = 0 and 2X + 3Y ā 8 = 0, and Var(X) = 12, the value of Var(Y) is:
Answer
D. 4
93
Given rāā = 0.6, rāā = 0.5 and rāā = 0.8, the value of rāā.ā is:
Answer
C. 0.38
94
The sales of a departmental store on Dushera and Diwali are associated with the component of a time series
Answer
C. seasonal variation
95
Which index satisļ¬es factor reversal test?
Answer
D. Fisher's ideal index
96
Control chart consists of
Answer
A. three control lines
97
Replication in an experiment means
Answer
B. the number of times a treatment occurs in an experiment
98
Local control in experimental designs is meant to
Answer
D. all the above
99
The number of possible samples of size n out of N population units without replacement is
Answer
A. NCn
100
Moving average method of ļ¬tting trend in a time series data removes the eļ¬ect of
Answer
D. short-term movements
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