kuk.ac.in PhD Statistics Entrance Test Model Question Paper : Kurukshetra University

Name of the University : Kurukshetra University
Exam : PhD Statistics Entrance Test
Document Type : Model Question Paper
Category or Subject : Statistics
Website : http://www.kuk.ac.in/
Download Sample Question Paper : https://www.pdfquestion.in/uploads/23838-PaperPhd.pdf

KUK PhD Statistics Entrance Test Question Paper

Time: 1hrs
Maximum Marks: 10

Related : Maulana Azad National Urdu University PhD English Entrance Test Model Question Paper : www.pdfquestion.in/23834.html

Instructions For Candidates

1. The Candidate is instructed to write his/ her Hall Ticket No. in the space provided above. In addition to this, if the candidate writes his/ her Hall Ticket No. or name anywhere in this Booklet his/her paper will not be evaluated.

2. This Booklet has (12) pages. If any defect, please bring it to the notice of the Invigilator.
3. This Booklet has two parts. Part A carries 50 Objective Type Questions, with (A), (B), (C) and (D) as alternatives. Choose the correct alternative and in the OMR Answer Sheet, darken the circle that you have chosen as your answer.

4. The candidate shall get the marks only when he/she darkens the correct circle in the OMR Answer Sheet. If the candidate marks in this Booklet in any way, and does not darken the circle in the OMR Answer Sheet, then the candidate shall NOT get any marks.

5. In Part B this Booklet carries 8 questions, out of which the candidate requires to attempt any five question. Every question must be answered in not more than 20 lines.

6. Pleas hand over his Booklet alongwith the OMR Answer Sheet to the Invigilator before you leave the examination hall.

Objective Questions

1. The incidence of occupational disease in an industry is such that the workmen have a 20% of chance of suffering from it. What is the probability that out of six workmen, 4 or more will contact the disease?
(a) 0.015
(b) 0.017
(c) 0.019
(d) 0.15

3. 800 employees of a company are covered under the medical group insurance scheme. Under the term of coverage, 40 employees are identified as belonging to ‘high risk’ category. If 50 employees are selected are random, what is the probability that at the most two are in the high risk category?
(a) 0.644
(b) 0.549
(c) 0.744
(d) 0.844

4. In an intelligent test administered to 1000 students, the average score was 42 and standard deviation 24. Find the number of students securing between 30 and 54.
(a) 384
(b) 373
(c) 363
(d) 393

6. Normal distribution was invented by
(a) Laplace
(b) De-Moivre
(c) Gauss
(d) None of these

7. A population is distributed as N ~ (µ, 10.24). A sample of 576 items has a mean 4.7. The value of the statistic Z to test H0: µ = 5.2 is
(a) 3.75
(b) 28.125
(c) -3.75
(d) none of these

8. To test an hypothesis about proportions of items in a class, the usual test is
(a) t-test
(b) F-test
(c) Z-test
(d) none of these

9. Two samples of size 10 and 8 had sample means 18 cm and 12 cm with variance 25 and 16. Supposing that the samples have been drawn from normal populations
(a) 2.67
(b) 2.75
(c) 1.33
(d) 2.83

10. A manufacturer claims that his items could not have a large variance. 18 of his items have a variance 0.033. The value of statistic 2 to test H0: 2 = 1 is
(a) 30.30
(b) 5.55
(c) 0.56
(d) none of these

11. A coin is tossed 400 times and it turns up head 216 times. The hypothesis that the coin is unbiased can be tested by
(a) 2 test
(b) Z-test
(c) both (a) & (b)
(d) neither (a) nor (b)

12. To construct the confidence interval for the population variance, we should use the
(a) Normal distribution
(b) t-distribution
(c) F-distribution
(d) chi-squre distribution

13. Significance of a regression coefficient can be tested by
(a) t-test
(b) F-test
(c) both (a) & (b)
(d) neither (a) nor (b)

14. If the correlation between the variables X and Y is 0.5, then the correlation between the variables 2x-4 and 3-2y is:
(a) 1
(b) 0.5
(c) -0.5
(d) 0

15. If r is the simple correlation coefficient, the quantity 2 r is known as
(a) coefficient of determination
(b) coefficient of non-determination
(c) coefficient of alienation
(d) none of these

17. If the rank correlation coefficient between marks in management and mathematics for a group of students is 0.6 and the sum of squares of the differences in ranks is 66. What is the number of students in the group?
(a) 10
(b) 9
(c) 8
(d) 11

18. Given the expected values for variables X and Y as E(X) = 2, E(X2) = 10, E(Y) = 3, E(Y2) =20 and E(XY) = 16 we conclude that
(a) correlation coefficient will be positive
(b) correlation coefficient will be negative
(c) expected values are incompatible
(d) none of these

19. You are given a box with 20 cards in it. 10 of these cards have the letter I printed on them. The other 10 have the letter T printed on them. If you pick up 3 cards at random and keep them in the same order, the prob. of making the word IIT is
(a) 9/80
(b) 1/8
(c) 4/27
(d) 5/38

20. Six faces of an unbiased die are numbered with 2,3,5,7,11 and 13. If two such dice are thrown, then the probability that the sum on the uppermost faces of the dice is an odd number is
(a) 5/18
(b) 5/36
(c) 13/18
(d) 25/36

22. A fair coin is tossed repeatedly unless a head is obtained, the probability that the coin has to be tossed at least four times is
(a) 2/1
(b) 4/1
(c) 6/1
(d) 8/1

23. A SRS of size 10 is drawn without replacement from a universe containing 85 units. If the mean and S.D as obtained from the sample are 90 and 4 respectively. What is the estimate of the standard error of sample mean?
(a) 0.58
(b) 1.26
(c) 0.67
(d) 0.72

25. Under proportional allocation, the size of the sample from each stratum depends on
(a) total sample size
(b) size of stratum
(c) population size
(d) all of these

26. In Simple random sampling with replacement, the same sampling unit may be included in the sample:
(a) only once
(b) only twice
(c) more than once
(d) none of these

27. Local control is a device to maintain
(a) homogeneity among blocks
(b) homogeneity within blocks
(c) both (a) & (b)
(d) neither (a) nor (b)

28. Missing observation in a CRD is to be
(a) estimated
(b) deleted
(c) guessed
(d) none of these

29. A randomized block design has
(a) two – way classification
(b) one – way classification
(c) three – way classification
(d) no classification

30. While analyzing the data of a k×k Latin square, the error d.f. in analysis of variance is equal to
(a) (k-1) (k-2)
(b) k (k-1) (k-2)
(c) k2-2
(d) k2-k-2