QP-IES-ISS-24-STATISTICS-PAPER-II-240624

1E.S/1.S.S. Examination, 2024 DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE TOLD TO DO SO T.B.C. : SGSE-D-STS Test Booklet Series 5 z © TEST BOOKLET 22 STATISTICS a 4 Paper—II Time Allowed : Two Hours Maximum Marks : 200 1. 2. INSTRUCTIONS IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD CHECK THAT THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET. Please note that it is the candidate’s responsibility to encode and fill in the Roll Number and Test Booklet Series A, B, C or D carefully and without any omission or discrepancy at the appropriate places in the OMR Answer Sheet. Any omission/discrepancy will render the Answer Sheet liable for rejection. You have to enter your Roll Number on the Test Booklet in the Box provided alongside. DO NOT write anything else on the Test Booklet. This Test Booklet contains 80 items (questions). Each item comprises four responses (answers). You will select the response which you want to mark on the Answer Sheet. In case you feel that there is more than one correct response, mark the response which you consider the best. In any case, choose ONLY ONE response for each item. You have to mark all your responses ONLY on the separate Answer Sheet provided. See directions in the Answer Sheet. All items carry equal marks. Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet, you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your Admission Certificate. After you have completed filling in all your responses on the Answer Sheet and the examination has concluded, you should hand over to the Invigilator only the Answer Sheet. You are permitted to take away with you the Test Booklet. Sheets for rough work are appended in the Test Booklet at the end. Penalty for wrong answers : THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE IN THE OBJECTIVE TYPE QUESTION PAPERS. (i) There are four alternatives for the answer to every question. For each question for which a wrong answer has been given by the candidate, one-third of the marks assigned to that question will be deducted as penalty. (ii) If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given answers happens to be correct and there will be same penalty as above to that question. (iii) If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that question. DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE TOLD TO DO SO 1. Consider the following statements : 3. For a Minimum Variance. Unbiased I. The concentration of distribution of (MVU) estimator 7, and _ another statistic T(x) around its true value f(®) is high when the mean square error is low but the converse is not efficiency Eg, which one of the following unbiased estimator T, which has an true. statements is correct? Il. There exists no estimator for which the mean square error is least for all @€ 9. (a) An unbiased linear combination of T, and T2 is an MVU estimator. Which of the statements given above is/are correct? (b) T, and Tz are unique. (a) 1 only (c) The correlation coefficient between i a8 T, and T, is given by (Eo)?. (c) Both I and II (a) Neither I nor II (ad) None of the above 2. Consider the following statements : I. For an unbiased estimator, the variance of an estimator is same as 4. Consider X;~N(Q,,%); i=123....n its mean square error. such that 6, and 6, are both unknown. Il. For a highly precise estimator, its bias is proportional to its mean square error. The C-R lower bound is Which of the statements given above (a) attained for both the parameters is/are correct? (b) attained for 6, but not for 05 (a) I only (b) Il only (c) attained for 4 but not for 0, (c) Both I and II (d) not attained for either of the two (d) Neither I nor II parameters SGSE-D-STS/63A 2 * Let 1 : 6 - ‡ < × < 6 + $ 0, otherwise Xj ¬ fo(x) = | such that ) ); i=12...,n. Consider the following statements : 1. The distribution of 27) ¬ 2) 15 independent of 9. 11. [ ¬ Xqy) ¬ £ 2) ¬ 2())] = 0, for all 6. Which of the statements given above is/are correct? (a) I only (b) 11 only (c) Both I and II () Neither I nor II * Let 7 = 7 (51, 22, 23, ...› 270) be an unbiased estimator of 1/(9 and T be a sufficient statistic for 9. Define 9 = E[U|T = 8], Consider the following statements : 1. 6 (6) is always independent of 9. 11. The variance of ¢ (¢) is less than the variance of U. SGSE-D-STS/63A Which of the statements given above is/are correct? (a) 1 only (b) 1 only (0) Both I and 11 (0) Neither 1 nor 11 7. Consider the following statements : 1. The least attainable variance may be greater than the Cramer-Rao lower bound. 11. The Cramer-Rao inequality provides us with a means of judging whether or not a given unbiased estimator is also a minimum variance estimator. Which of the statements given above is/are correct? (a) 1 only (b) 1 only ( Both I and 11 (d) Neither I nor II (2.1.. 8. Consider the following statements : I. It is possible to have a minimum variance unbiased estimator which is not minimum variance bound estimator. Il. Sufficient statistic should have a complete family of distributions to enable obtaining a minimum variance unbiased estimator from any unbiased estimator. Which of the statements given above is/are correct? (a) I only (b) I only (c) Both I and I (ad) Neither I nor II 9. Consider a series of Bernoulli trials with probability of success p(0< p<1) for each trial, such that f is frequency of success in n trials. Consider the following statements : I. a -£) is a consistent estimator n n of p(1- p). wef is a consistent estimator of = n Pp SGSE-D-STS/63A Which of the statements given above is/are correct? (a) I only (b) Il only (c) Both I and II (ad) Neither I nor II 10. Which of the following statements in respect of maximum likelihood estimates (MLEs) are correct? I. MLEs are always functions of sufficient statistics. II. Sometimes an MLE may not even exist. Ill. MLEs are not necessarily unbiased. IV. MLEs are unique. Select the answer using the code given below. (a) 1, I and (b) 1, Il and IV (c) 1, Ill and IV (@) Il, Ill and IV 11. Let 3: 2720 £ 705) | 0; otherwise = 123...,7 The Maximum Likelihood Estimator (MLE) of N has which one of the following properties? (a) Consistent, sufficient and complete (b) Unbiased, sufficient and complete (c) Unbiased and sufficient only () Unbiased, complete and consistent 12. Let X; ~ 70 9); 0 < 6 ; = 1, 2 3... 7 such that p is known but 9 is unknown. What is the sufficient statistic for 6? 1 ) -- -w) |) 8 - 2 n (9 ^ ? 13. Which one of the following statements is correct in respect of a parametric function? (a) A parametric function is said to be estimable if its unbiased estimator exists. (b) A parametric function is said to be estimable if its minimum variance unbiased estimator exists. SGSE-D-STS/63A (c) A parametric function is said to be estimable if its mean square error is minimum. (d) None of the above 14. Consider the following statements : 1. 2; ~ 11603); 02 known and 8 unknown; i = 1, 2, 3, ..., 1. 11. 20 ~ Bernoulli (9; 9 unknown; 15:15 The variance of sample mean coincides with the Cramer-Rao lower bound for every 9, for (a) I only (b) 11 only (c) both I and II (0) neither 1 nor 11 15. Consider the following statements : 1. Uniformly most accurate lower confidence bound has the smallest probability of false coverage. 11. Confidence level has the smallest probability of true coverage. Which of the statements given above is/are correct? (a) I only (b) 11 only (c) Both I and II (0) Neither I nor 11 [ P.T.O. 16. Let ×], x9, 223; --.› 20% bea random sample from a Poisson distribution with mean 6 > 0. Let T= Sy, x;. Then UMVUE of € 7°93 is 18. Let’ 20, 78% <<) Xp, 126. 8 random sample from the distribution having f(xp)=3e 9"); x>p, peR 17 Xq = min , Xp, X3,..., X,}, then which one of the following is correct? (a) ட்டு (a) Xq) 15 MVUE for p. ‌ 06) 21) is unbiased but not MVUE for (-27 7(7- (7 -2) (© ) is biased and consistent for |}. (0) 7! (‌) ) is neither biased nor consistent for |. 71-107-2 19. Let 20, 22, X3,....X, be a sequence of (ಸಾತಾರಾ ললো # ‌ iid observations from an exponential distribution with mean 6 > 0. To test { - 2 ¬3 7(7 - 1(7 - 2} 170 : 0 = versus H,:6=2, SPRT is () ‌ used. What is the probability that the procedure has no decision at the first stage when 0 = 3 = 0.1 and Hp is true? 17. Let ), 225 23? ‎ Xn be a random sample from N(0, 2), ©> 0. Which one (a) 1. (b) 2 of the following hypotheses has the 5 a iti | ` 238 ‎ 2 critical region 912 2270, ‎ 85 the (6) (0) 15 UMP critical region of level , where 2 2 0 20. If 20, 22, 23) ...› × is a random sample 2000) > Kin, oy) = ? . from 77(0 0), then which of the (a) Ho :02 = 2 versus > 02: ‎ statements given below is/are correct? 1. ` 7 =x, is complete statistic for 9. 2 1 Select the answer using the code given below. (c) Ho : 02 = 4 versus A, 107 <4 (a) 1 only (b) 11 only ( Both 1 and 11 (0) Neither I nor 11 11. 7‎ =x? is complete statistic for 6. (b) Hy :7 = 1 versus H, : 2 > 1 (0) 70 : 2 = 2 versus 11; 64. <2 SGSE-D-STS/63A 6 22. Let Let ‎ 53. -) 16 be a random sample from N(y, 1) distribution, pe R. Consider two tests 9, (x) and G(x) to test Hp : = 3 versus 77:54: 1, x,25 ) = | 0, elsewhere ne ‎ 7 | 0, elsewhere Ifa; and ; £ = 1 2 are size and type 11 error of the two tests respectively, then which one of the following is correct? (a) ] > 2 and ‎ > 82 ) = and ‎ = 82 (© 1 = 2 and ‎ > 82 (0) a, < 2 and ‎ = 82 2 2, 23 7 be a random sample from the distribution having pat f(x 6} = 7; x20, 6 > 0. The maximum likelihood estimator of 16 is 7 (a) va (b) Yar, n (© 110] (0) 2 ) ¬ n| SGSE-D-STS/63A 23. 24. Let ×], ,‎ X3,..., X, be a random sample from the gamma distribution having pdf 1 : 0, < ५८५५१ = ਨ; e # 1; 2-0, 80 and [& > 0 is known constant. What is the sufficient statistic for 9) ) i (b) 2) = min (6, 202, ‎ ...› Xp} ( ) = 08226, XQ, ×3› ...› Xp} @ 11-1 Let ‎ probability mass function under Hy and random sample with given by‏ | 2 | 3 | 4 | | 5 | | 6 | ) 210 0:01 | 0:01 0:01 | 0-01 | 0:01 | 0:95 | Under Hp 0:05 | 0:04 | 0:03 | 0-02 | 0:01 | 0.85 | Under 3] The Neyman-Pearson MP size 0:03 test rejects Hy if x <3. What is P(type II error) equal to? (a) 0:09 (b) 0-12 () 0-85 (0) 0-88 1.7.. 25. Consider the following statements : Statement-I : Every Borel measurable mapping f of R, —[0, 1] is called a test function. Statement-II : Whenever f is the indicator function of some Borel subset A of R,,, then A is called the acceptance region of the test f. Which one of the following is correct in respect of the above statements? (a) Both Statement-I and Statement-II are correct and Statement-II explains Statement-I (b) Both Statement-I and Statement-II are correct but Statement-II does not explain Statement-I (c) Statement-I is correct but Statement-II is incorrect (da) Statement-I is incorrect but Statement-II is correct 26. Consider the following statements : I. Smaller the P-value, more extreme is the outcome and stronger is the evidence in favour of Hg, the null hypothesis. SGSE-D-STS/63A II. The Neyman-Pearson most powerful test is not always a function of sufficient statistic, provided the latter exists for a family of distributions. Which of the statements given above is/are correct? (a) I only (b) II only (c) Both I and II (ad) Neither I nor II 27. Let Xj, Xo, X3,..., Xp, be independent random variables each N(p, 0”), with p and o? both unknown. Then UMVUE of py and o” are respectively (a) ys and ye xe (be) Sv, X? and SX; > 1 n io (c) X and ee (X; -X) n-14%=1 (a) X and 23h ix a 28. The Neyman-Pearson lemma gives a general method for finding a most powerful test for testing (a) simple null hypothesis against composite alternative hypothesis (b) composite null hypothesis against simple alternative hypothesis (c) simple null hypothesis against simple alternative hypothesis (d) composite null hypothesis against composite alternative hypothesis 29. Consider the following statements regarding likelihood ratio tests : I. For a given size a of a test, the non- randomized Neyman-Pearson and likelihood ratio tests of a simple hypothesis against a _ simple alternative hypothesis are equivalent. II. The likelihood ratio 4 always lies between 0 and 1. Ill. For testing a null hypothesis against any alternative hypothesis, the likelihood ratio test is a function of every sufficient statistic for 8. SGSE-D-STS/63A IV. If A is the likelihood ratio, then the asymptotic distribution of -2Ind is normal with mean 0 and variance 1. Which of the statements given above are correct? (a) I, Il and II (b) 1, Il and IV (c) 1, Ill and IV (a) 1, Wl and IV 30. Let x), x9, x3,..., X, be a random sample from the double exponential distribution having pdf f(x, 6)= sera GER, xé€R. Which one of the following statements is correct? (a) No alone sufficient statistic T exists for 8, other than the sample itself. (b) Sample median is unbiased estimator of 0. (c) Xin) is sufficient as well as MLE for 0. (aq) Sample mean is MLE _ and consistent for 6. [ P.T.O. 31. If T, and T, are equally efficient 34. Let {x,, x2, x3} be a random sample of estimators of g(6) with efficiency 0°8, size 3 from a Poisson distribution with then the correlation coefficient between mean 4>0. To test Ho: aes versus them lies in the interval 8 H,:=1, reject Hy when pes >1L (a) (08, 1) ; : The power of the test is approximately (b) (1, 0:8) (given e~? = 0:04978) (c) (-0°64, 0°64) (a) 0-80 (a) (06, 1) (b) 0:90 32. Let x1, X2,X3,--,X19 be a random sample from a uniform U(-8, 6), 8>0 (c) 0-95 distribution. It is given that the values of the largest and smallest observations 4 (a) 0-99 in the sample are 7 and -12 respectively. Then MLE of 6 is (a) -12 (b) - 5 35. Consider the following statements : 2 I. Bayes estimator with a constant (c) 7 risk is a minimax estimator. (a) 12 Il. If a minimax estimator of a parametric function is unique, then it must be admissible. 33. Let {0, 4, 2, 3} be a random sample from a Poisson distribution with mean 6 > 0. Then the asymptotic confidence interval with confidence coefficient 0:95 for mean 6 is (a) I only Which of the statements given above is/are correct? (a) (0°78, 3°72) (b) I only (b) (0°78, 4:72) (c) (2:25, 3°72) (c) Both I and II (d) (2:25, 4°72) (d) Neither I nor II SGSE-D-STS/63A 10 36. A biased coin with probability of head p is tossed m times independently. It is known that ‎ € (1/4, 3/4} and me (3 5}. If 3 heads are observed in these m tosses, then which one of the following is correct? (a) (5, 3/4) is MLE of m and p (b) (5, 1/4) is MLE of m and p (c) (3, 3/4) is MLE of m and p () MLE of m and is not unique 37. Consider a random sample {×1, 22, 23, 24) from N(wo x;‏ = distribution. Define x = 4 x2 >; My “ ‎ The LRT of size & = 005 rejects 47:50 versus if and only if Fk. The value of k, when P(X > tin, 0) = 0, is 1 5 (a) 2 3, 0-05) (b) 23, 0-025) (9) 2t4,0.025) (0) 2/4, 0.05) 38. Let ×], 22, ×3› £ denote a random sample from 8 distribution with 9-1 pat fs ‎ >~) » where O , elsewhere 6>0. The sufficient statistic for 6 is . n (b) Taxi ( [minx;, maxx;] (0 maxx; - 1 SGSE-D-STS/63A 39. Let 20. 22, 23? ++, X, be 8 random sample from a distribution with probability density function (‌ ee 9 > 0. Which of the following statements are correct in respect of parameter 9 of the distribution? 1. The maximum likelihood estimate of 9 is given by 61417 ‎ 11. 6193 is an unbiased estimator of 6. 111. 68 is sufficient estimator of 0. Select the answer using the code given below. (a) 1 and 11 only (b) 11 and 111 only (c) 1 and III only () 1 Il and 40. Let ), xo, X3,+.)Xm denote a random sample from binomial B(n, ) distribution. Define a statistic ‌ ‎ . Which of the 0, otherwise following statements is/are correct? 1. £ is an unbiased estimator of 202) n 11. wis a uniformly minimum variance unbiased estimator of p. 11. "x; is a complete sufficient statistic for p. Select the answer using the code given below. (a) 1 and 11 (b) 111 only ( Il and 111 () 1 and [ P.T.O. Consider the following for the next two (2) items that follow : Let , Xp, 23, --, 27) be a random sample of size n from a normal distribution 70 1). Wo = (0, Xa) கதைவ ને 2 8) ദ്ട critical region of size % for testing 77 : - 0 against 471 : |+ = 4. 41. What is the value of 6? (a) 2 2% n 2 (0) ಸ (0 ಗಾಶ್ಚ 42. What is the power of the test? ) 0“‎ - 2, 29 6.. (0) %(42 -Vn) Consider the following for the next two (2) items that follow : To test mean of the Poisson distribution Ho :4=1versus 771 : = 2, based on the single observed value from the Poisson distribution, the following procedure is considered : “Reject Hy with probability one when the observed value (x) > 1. If x = 115 observed, then toss an unbiased coin and reject the null hypothesis if head comes up.” 43. What is type I error in the experiment? (a) 1-67 105-1 115-1 (4); 15251‏ SGSE-D-STS/63A 12 44. What is type II error in the experiment? (a) () 1-0-5673 ie ( (0 262 Consider the following for the next two (2) items that follow : Assume variables /, a sample of continuous random 20 22) ,,.... Xn such that ) - <072> 1 Define = 27 and 029 = 45. Consider the following statements : 1. 0171 15 an unbiased estimator of p. 11. fig, is an unbiased estimator ofp. Which of the statements given above is/are correct? (a) () (0) (0) I only 11 only Both 1 and 11 Neither I nor II 46. Consider the following statements : 1. 18 consistent estimator of p. 11. ‎ ^ isaconsistent estimator ofp. Which of the statements given above is/are correct? (a) I only (b) 11 only ( Both I and 11 (0) Neither I nor II Consider the following for the next two (2) items that follow : Let (20. Xo, X3,.... Xn) be a random sample from a distribution with pdf 8 ‎ 1 Ff (1 B) ; 20,1, 80. 47. What is the estimator of obtained by method of moments? > - 44-18 48. What is the estimator of B obtained by method of moments? 7 ^ (a) வட்ட a 2‎ xX 246 - 202 6 ‌ 72 (a) SGSE-D-STS/63A 13 Consider the following for the next two (2) items that follow : Let (20 22, X3,.... X,) be independently and identically distributed random sample having pdf f (x) = 929 1; 0 < × < 1, 0 < 6 < =, 49. What is E(X) equal to? ) 5 50. What is the moment estimator of 6? ‌ n 6) n- ) 7 11‎ 6 1+ 20 (a) nt 2-12 [8.1.0. 51. Consider the following statements in 53. If the system of equations Ax =c has at respect of a symmetric matrix A : least one solution, then which of the following statements is/are correct? I. Generalized inverse of A is not necessarily symmetric. I, Rank (A) = Rank (A, c) Il. Symmetric generalized inverse of A I. AA™c=c, where A™ is the can always be found. generalized inverse of A. Select the answer using the code given Which of the statements given above below. is/are correct? (a) I only (a) I only (b) Il only (c) Both I and II (b) II only (ad) Neither I nor II (c) Both I and Il : 2.2 °3 (ad) Neither I nor II 54. If A=} 1 0 1] and A™ denotes the 32 4 generalized inverse of A, then consider 52. Let A be an nx p matrix of rank r and let the following statements : A™ denote the generalized inverse of A. Consider the following statements : ye Il. Trace (A~ A) =2 I. Trace (AA~) = Trace (A~A) Ill. Trace (AA~) = Trace (A~ A) Il. Trace (AA~)#r IV. Trace (A) =6 Which of the statements given above Ho’ of the statements given is/are correct? per cain a ey above are correct? (a) I only (a) Only one statement (b) Il only (b) Only two statements (c) Both I and II (c) Only three statements (a) Neither I nor II (@) All four statements SGSE-D-STS/63A 14 55. Let & be any generalized inverse of A How many of the statements given and 4 4 = 77. Consider the following above are correct? statements : 1, AHA HA =A" (a) Only one statement () (0) Only two statements‏ <0 080 Which of the statements given above is/are correct? (c) Only three statements (a) 1 only () All four statements (b) II only ( Both I and 11 57. Which of the following statements are correct regarding ANOVA technique? () Neither I nor 11 1. It is used to test the equality of several population means. Il. It is used to test the equality of several population variances. 56. For the matrices . 118 origin lies in agricultural experiments. 9.2 000 A=|2 2 0| and B=|0 $ 0 202 ool Select the answer using the code given 2 below. (a) 1 and 11 only consider the following statements : 1. 454 = 4 (b) 11 and 111 only 11. BA 18 an idempotent matrix. (c) I and 111 only 111. Rank (4) × Rank (BA) IV. Rank (BA) = Trace (BA) (0) 1, 1 and SGSE-D-STS/63A 15 [ P.T.O. 58. In ANOVA for one-way classified data, which of the following statements are correct? I. The value of various sum of squares is independent of change of origin. Il. The value .of various sum of squares is independent of change of scale. Ill. The value of variance ratio is independent of change of origin. IV. The value of variance ratio is independent of change of scale. Select the answer using the code given below. (a) 1, Il and I (b) I, Il and IV (c) 1, Ill and IV (a) Il, Ill and Iv 59. Consider the random effect model for a two-way classified data with m observations per cell. Which of the following statements is/are correct? I. Mean sum of squares due to error is used as error variance for computing the test statistics for jg@ (i Ho(axB)? gp = 2 II. Mean sum of squares due to error is used as error variance for computing the test statistics for Hoa :02 =0, SGSE-D-STS/63A 16 Ill. Mean sum of squares due to error is used as error variance for computing the test statistics for Hop :97 =0. Select the answer using the code given below. (a) I (b) I only (c) II only (d) I and WI 60. For the validity of F-test in ANOVA, which of the following are assumed? I. The observations are independent. Il. Parent population from which observations are taken is normally distributed. Ill. The variances of the population from which observations are taken may differ from one another. IV. Different effects are additive in nature. Select the correct answer using the code given below. (a) 1, and (b) I, I and IV (c) 1, Ill and IV (a) Il, Ill and IV 61. The Registrar General of India is 64. Who among the following is the Secretary ‘responsible for which of the following of the National Statistical Commission? "activities? (a) The Director General, Central I. Civil Registration System Statistics Office Il. Socio-economic Indicators (b) The Secretary, Ministry of Statistics and Programme Implementation (c) The Chief Statistician of India (da) The Registrar General and Census Select the correct answer using the code Commissioner of India given below. Ill. Housing and Population Census IV. Mother Tongue Survey 65. Consider the following : (a) 1, I and I 1. © Crops (b) 1, Il and IV II. Livestock (c) I, Ill and IV Ill. Forestry and logging (a) Il, Ill and IV IV. Fishing and aquaculture V. Mining and quarrying 62. Which of the following resources fall E In the estimates of GDP, how many of under the category of Natural Capital? the above sectors/subsectors comprise I. Computer and life-saving devices the ‘primary sector’? Il. Energy (a) Only two Ill. Timber (b) Only three IV. Agricultural land (c) Only four (ad) All five Select the correct answer using the code given below. 66. Consider the following regarding a (a) I, Wand m ‘ongitudinal panel survey’ : () 1, Wand IV I. A variable set of respondents : surveyed once (c) 1, I and Iv Il. A random set of respondents (a) Il, Ill and Iv surveyed twice Ill. A fixed set of respondents surveyed repeatedly over time IV. A new set of respondents surveyed whenever required 63. Data for the handicraft/handloom establishments were collected for the first time during which of the following Economic Censuses? How many of the above is/are correct? (a) Only one (a) Third Economic Census (b) Fourth Economic Census (b) Only two (c) Fifth Economic Census (c) Only three (d) Sixth Economic Census (a) All four SGSE-D-STS/63A 17 [RweO: 67. Which of the 68. Statistics following statements regarding official statistics are correct? I. Official statistics that fulfill the test of practical utility are to be compiled. Il. Official statistics may be drawn from all types of sources (statistical surveys or administrative records). Ill. The laws, regulations and measures under’ which the statistical systems operate must be made public. Select the answer using the code given below. (a) 1 and II only (b) Il and II only (c) I and III only (a) 1, Mand Il regarding which of the aspects and matters connected therewith may be collected under the Collection of Statistics Act, 2008? I. Economic and demographic following II. Social and scientific Ill. Environmental Select the correct answer using the code given below. (a) 1 and II only (b) II and III only (c) I and III only (a) 1, ll and Ill SGSE-D-STS/63A 18 69. Which of the following statements regarding the Consumer Price Index- Industrial Workers (CPI-IW) are correct? I. CPI-IW is computed by the Labour Bureau. Il. CPI-IW is used as a tool for measuring inflation. Ill. CPI-IW is utilized for regulations of wages and dearness allowance for workers and employees in the country. IV. CPI-IW is computed for male, female, rural areas and urban areas. Select the answer using the code given below. (a) I and III only (b) II and IV only (c) 1, Il and III only (d) 1, Ul, Il and Iv 70. Consider the following Censuses : I. Economic Census Il. Minor Irrigation Census Ill. Labour Census IV. Livestock Census How many of the above Censuses are conducted by the Government of India? (a) Only one (b) Only two (c) Only three (ad) All four 71. Consider the following statements with regard to the National Statistical Commission (NSC) : I. NSC was set up by the Government of India through a resolution in the year 2005. Il. NSC is a constitutional body. Ill. NSC has four Members besides a Chairperson. Which of the statements given above is/are correct? (a) I only (b) 1 and III only (c) Il and III only (@) 1, Il and Il 72. Which of the following are meant to provide legal support for collection of official statistics in India? Il... The Government of India (Allocation of Business) Rules, 1961, as amended from time to time Il. The Census Act, 1948 Ill. The Representation of the People Act, 1951 IV. The Collection of Statistics Act, 2008 Select the correct answer using the code given below. (a) 1, Il and Ill (b) 1, Il and IV (c) I, Il and IV (a) 1, II and Iv 73. Which of the following features differentiates/differentiate GDP from Gross National Income? I. Monetary Il. Geographic III. Strategic IV. Political SGSE-D-STS/63A 19 Select the correct answer using the code given below. (a) I (b) II only (c) II and Ill (ad) Ill and IV 74. Which of the following are computed as per the prevalent methodology of estimation of national income? I. State Domestic Product II. District Domestic Product Ill. Urban Domestic Product IV. Rural Domestic Product Select the correct answer using the code given below. (a) 1 and Il (b) I and Il (c) Ill and IV (ad) I and Iv 75. Which of the following are accepted methods of data collection? I. Census and surveys Il. Administrative records Ill. Management information systems IV. Remote sensing Select the correct answer using the code given below. (a) 1, Il and III only (b) Il, Ill and IV only (c) I and IV only (d) I, ll, Ill and Iv [ P.T.O. 76. In the construction of a price index number, which of the following factors has/have to be considered? I. The selection of commodities must be representative. Il. Comparison across different places whether national or international must be possible. Ill. It must be applicable to each individual within the group for which the index is being prepared. Select the correct answer using the code given below. (a) I only (b) 1 and II (c) 1 and Ill (a) II and Ill 77. Consider the following statements : I. Index numbers measure changes in the magnitude of a group of related variables. Il. Index numbers measure the extent to which value in a distribution differs from the average value. Which of the statements given above is/are correct? (a) I only (b) Il only (c) Both I and II (d) Neither I nor II 78. The major source of data for Index of Industrial Production (IIP) is from the (a) (b) Confederation of Indian Industry Department for Promotion of Industry and Internal Trade (c) National Sample Survey (d) All India Association of Industries SGSE-D-STS/63A 20 79. Consider. the following statements : I. The Gross Enrolment Ratio (GER) of India indicates that, in principle, India is able to accommodate all of its primary school-age population. Il. The Gender Parity Index shows a decreasing trend at Primary and Higher Education level over the years from 2016-17 to 2021-22. Which of the statements given above is/are correct? (a) 1 only (b) II only (c) Both I and II (a) Neither I nor II 80. Which one of the following statements is correct if the money wage of an individual is ¥ 8,000 and the Consumer Price Index (2012=100) is 200 in January 2023? (a) The real wage of the individual will be * 4,000 in January 2023. (b) The equivalent of a rupee in January 2023 is 40 paisa in 2012. (c) If the individual was getting *% 6,000 in 2012, she/he is able to maintain the same standard of living in 2023. (ad) The purchasing power of money remains the same in both the years 2012 and 2023. SGSE-D-STS/63A SPACE FOR ROUGH WORK 21 [ 2.1.. SPACE FOR ROUGH WORK SGSE-D-STS/63A 22 SPACE FOR ROUGH WORK SGSE-D-STS/63A 23 [P.0. SPACE FOR ROUGH WORK. kkk SGSE-D-STS/63A 24 SB24—4896