Question Paper Code: 11/2015/OL

Category Code: 195/2013

Exam: Statistical Assistant gr II

Medium of Question: English

Date of Test 29-06-2015

**Question 1 : Drafting Committee chairman of Indian Constitution**

**Question 2 : The President of India who officially issued a state of emergency in 1975**

**Question 3 : Right to Information Law was passed on**

**Question 4 : The ruler who founded the first English school in Travancore**

**Question 5 : First travelogue in Malayalam**

**Question 6 : Founder of Prathyaksha Raksha Sabha**

**Question 7 : Travancore State Congress was formed in**

**Question 8 : The leader of Ezhava Memorial**

**Question 9 : Paliyam Satyagraha was in the year**

**Question 10 : Who started the monthly publication Gramadeepam ?**

**Question 11 : Who among the following started a branch of Brahma Samaj at Kozhikode in 1898 ?**

**Question 12 : Seethamuthal Sathyavathivare is a work of**

**Question 13 : The Malayali who delivered his speech in Malayalam at Oxford University in 1959**

**Question 14 : The leader of the Yachana Yatra in 1931**

**Question 15 : Who organized a Misrabhojanam in 1917 at Kozhikode**

**Question 16 : Who is popularly known as Kerala Vyasan ?**

**Question 17 : The birth palace of Ulloor S. Parameswara Iyer**

**Question 18 : Temple Entry Proclamation was declared on**

**Question 19 : The Pope who canonized Mar Kurikos Elias Chavara on 23 November 2014**

**Question 20 : Founder of Bachpan Bachao Andolan**

**Question 23 : The point of intersection of ogives correspond to:**

**Question 24 : In a ratio graph, the vertical scale starts with:**

**Question 27 : The arithmetic mean of two sample observations is greater than the smallest by their :**

**Question 29 : In Lorenz curve , the diagonal line y=x is known as:**

**Question 31 : The standard deviation of the observations x and y is :**

**Question 32 : The coefficient of variation of first four natural numbers is :**

**Question 34 : Which one of the following is true for a discrete distribution?**

**Question 35 : The sum of squares of deviations is least when measured from :**

**Question 36 : The axiomatic approach to probability was proposed by:**

**Question 38 : Which of the following statement is most correct:**

**Question 40 : If P(A)=P(B)=P(C)=0.5, P(AB)=P(AC)=P(BC)=0.2 and P(ABC)=0.1, then P(A-B-C) is :**

**Question 42 : If A and B are exhaustive and equally likely events with P(AB)=0.2, then P(A) is:**

**Question 43 : Which of the following statement is true ?**

**Question 46 : Bayes’ formula is used to obtain the probabilities of:**

**Question 48 : The Union Minister of Statistics and Program Implementation is:**

**Question 49 : The mean sum of squares is obtained by dividing the sum of squares by:**

**Question 51 : A consistent estimator of Θ2 in a Poisson distribution with parameter θ is:**

**Question 54 : The moment generating function M(t) of a random variable X exists at:**

**Question 55 : Francis Galton is pioneered in the study of:**

**Question 56 : The correlation coefficient of the bi variate data: (1,10), (2,9), (3,8) and (4,7) is**

**Question 57 : Let r(x, y)=0.8. Then the explained variation in y due to x is:**

**Question 58 : If both regression coefficients are positive, then their sum is always:**

**Question 59 : The line of best fit can be obtained by the principle of:**

**Question 60 : The coefficients of determination is the square of:**

**Question 61 : Probable error is used to test:**

**Question 63 : Let X follows B(n,p) is positively skewed if :**

**Question 64 : Correlation coefficient between the number of successes and failures in B(n,p) is:**

**Question 65 : Let X follows B(n,p) and define Y= (X−np)/√npq . Then Var(Y) is:**

**Question 67 : Referring to Question 50, E(X/U=3) is:**

**Question 68 : Which of the following statement about B(n,p) is always true?**

**Question 69 : If X follows N(10, σ2 = 4 ), then the standard deviation of aX is:**

**Question 70 : If X follows U(0,1), then Var(1-X) is:**

**Question 71 : The maximum height of N(0,1) curve is :**

Click here for answer

**Question 73 : If X and Y are independent N(0,1) random variates, then P(X **

**1. 1/2**

**2. 0**

**3. 1.96**

**4. 1.65**

**1. 1/2**

**Question 74 : The Normal curve has an area about …….within one unit of SD from mean:**

**1. 65%**

**2. 68%**

**3. 33%**

**4. 67%**

**2. 68%**

**Question 75 : The mgf of a random variable X is M(t)= 1/(1 − 2t) ,|t|<1/2 . Then E(X) is :**

**1. 2**

**2. 6**

**3. 8**

**4. 4**

**1. 2**

**Question 76 : The square of t distribution is an F distribution for:**

**1. 2 df**

**2. 1 df**

**3. n df**

**4. None of these**

**2. 1 df**

**Question 77 : The ratio of two independent N(0,1) variates is a:**

**1. t1**

**2. t2**

**3. tn**

**4. χ 2**

**1. t1**

**Question 78 : If T1 and T2 are two unbiased estimates of parameter θ, then (2 T1+5T2)/(7) is :**

**1. Unbiased for θ**

**2. Biased for θ**

**3. Consistent for θ**

**4. None of these**

**1. Unbiased for θ**

**Question 79 : The random variable X has mean 5 and variance 9. Then P[|X-5|>4] is:**

**1. > 9/16**

**2. >4/9**

**3. < 9/16**

**4. <4/9**

**3. < 9/16**

**1. Type 1 error**

**2. Type 2 error**

**3. Power**

**4. Critical region**

**1. Type 1 error**

**1. P[|Z|<2]**

**2. P[|Z|>2]**

**3. P[Z<2]**

**4. P[Z>2]**

**2. P[|Z|>2]**

**1. Var(X+Y)>Var(X-Y)**

**2. Var(X+Y)**

`3. Var(X+Y)=Var(X-Y)4. None of these 2. Var(X+Y)``1. m+n-12. m+n-mn3. m+n4. m+n-2 4. m+n-21. F(7,8)2. F(1,8)3. F(7,1)4. F(8,7) 4. F(8,7)1. 0 and 12. -1 and 13. 0 and ∞4. None of these 1. 0 and 11. 4/102. 2/103. 3/104. 1/10 1. 4/101. F(x)2. F((x + 3)/2)3. F(2x + 3)4. F((x − 3)/2 )∈ 4. F((x − 3)/2 )∈1. a-X2. X+a3. -X-a4. -X+a 1. a-X`

**Question 84 : If F follows F(7,8), then 1/F follows:**

**Question 85 : The distribution function F(x) of a random variable X lies between:**

**Question 89 : Let X be a random variable with pdf f(x)= (e raise to − ||x|)/2,-∞ **

**1. X=1**

**2. X=10**

**3. X=0**

**4. Any number greater than zero**

**3. X=0**

**1. A=E(X)**

**2. A=Med(X)**

**3. A=Mod(X)**

**4. None of these**

**2. A=Med(X)**

**1. Exp(1)**

**2. Exp(2)**

**3. Gamma(2)**

**4. None of these**

**1. Exp(1)**

**Question 92 : The function f(x)=x2 , x ∈ R is:**

**1. Increasing**

**2. Decreasing**

**3. Neither increasing nor decreasing**

**4. Constant**

**3. Neither increasing nor decreasing**

**1. k=1+3.322log10 N**

**2. k=1+2.333log10 N**

**3. k=1+2.333loge N**

**4. k=1+3.223loge N**

**1. k=1+3.322log10 N**

Question Paper Code: 11/2015/OL

Category Code: 195/2013

Exam: Statistical Assistant gr II

Medium of Question: English

Date of Test 29-06-2015

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