List – I List – II (Model Type
(name) (Description)
a. Delphi technique i. Causal quantitative model
b. Economic modeling ii. Quantitative model (Naive)
c. Exponential Smoothing iii. Qualitative model
Codes: a b c
(1) i ii iii
(2) iii i ii
(3) iii ii i
(4) ii iii i
Answer: (2)
2 Statement - I: The product of coefficient of correlation, standard deviation of variable ‘X’ and Standard deviation of variable ‘Y’ gives the measure of covariance between X and Y variables.
Statement - II: The product of coefficient of correlation between X and Y variables and the ratio between standard deviation of X variable to standard deviation of Y variable measures the slope of the regression line of X on Y variable.
Codes: (1) Both the Statements are correct.
(2) Both the Statements are incorrect.
(3) Statement- I is correct while Statement - II is incorrect.
(4) Statement - I is incorrect while Statement - II is correct.
Answer: (1)
3.Statement - I: Both the probable error and standard error of the coefficient of correlation are different. Statement - II: When a sampling distribution of mean is prepared by taking small sized samples from a normally distributed population, the distribution takes the shape of normal distribution. Codes: (1) Both the Statements are correct.
(2) Both the Statements are incorrect.
(3) Statement - I is correct while Statement - II is incorrect.
(4) Statement - I is incorrect while Statement - II is correct.
Answer: (1)
4 Match the items of List – I with the items of List – II and indicate the code of correct matching: List – I List – II
a. The parameters of the distribution are n and p i. Normal distribution
b. The mean and the variance of the distribution are identical ii. Exponential distribution
c. The mean and the standard deviation of the
distribution determines central location and spread respectively. iii. Binomial distribution
d. The graph of the probability density function of the
distribution slopes downward to the right from its maximum mean value iv. Poisson distribution
Codes: a b c d
(1) iii iv i ii
(2) i ii iii iv
(3) iv iii i ii
(4) iii i iv ii
Answer: (1)
5. When a researcher wants to select a representative sample to assess different parameters from a large sized finite heterogeneous population, which one of the following sampling techniques is the most appropriate?
(1) Judgemental sampling
(2) Simple random sampling
(3) Stratified random sampling
(4) Quota sampling
Answer: (3)
6 Statement – I: The mean of the sampling distribution of mean is equal to the parameter value of the population mean.
Statement – II: Stratified sampling technique is unrestricted probability (random) sampling technique. Codes:
(1) Both the Statements are correct.
(2) Both the Statements are incorrect.
(3) Statement – I is correct while Statement – II is incorrect.
(4) Statement – I is incorrect while Statement – II is correct.
Answer: (3)
7 You are given the following information about advertising expenditure and sales: (Rs. in lakh) Advertisement (X) Sales (Y)
Arithmetic mean 10 90
Standard Deviation 3 12
Correlation coefficient between advertising expenditure and sales = 0.80.
What is the likely sales for advertising budget of Rs. 15 lakh?
(1) 120 lakh
(2) 106 lakh
(3) 58 lakh
(4) 48 lakh
Answer: (2)
8. What is the probability of a value, chosen from a population, is less than its median?
(A) 1.0
(B) 0.75
(C) 0.50
(D) 0.25
Answer :(C)
9. If in a given Binomial distribution with „n‟ fixed and P < 0.5, then
(A) The Poisson distribution will provide a good approximation
(B) The Binomial distribution will be skewed to the left
(C) The Binomial distribution will be skewed to the right
(D) The Binomial distribution will be symmetric
Answer (C)
10. What separates the physical aspects of data storage from the logical aspects of data representation?
(A) Schema
(B) Relationships
(C) Constraints
(D) Data
Answer (A)
11. The components of E-business model are
i. Web Server
ii. Web Master
iii. Internet
iv. Web Administrator
Codes:
(A) i, ii, iii & iv
(B) i, ii & iii
(C) i & iii only
(D) iii only
Answer (C)
12. The simple probability of the occurrence of an event is called the
(A) Bayesian probability
(B) Conditional probability
(C) Joint probability
(D) Marginal probability
Answer (D)
13. In a hypothesis test, α = 0.05 and β = 0.10, the power of the test is
(A) 0.10
(B) 0.90
(C) 0.95
(D) 0.15
Answer (B)
14.When performing a Chi-square hypothesis test, what happens when expected frequencies in several cells are too small?
(A) Value of χ2 will be overestimated.
(B) The null hypothesis will be more likely to be rejected than it should be.
(C) The degrees of freedom are greatly reduced.
(D) (A) and (B), but not (C).
Answer (D)
15. Under which situation, the method of „experimentation, modeling and sensitivity analysis‟ is used to determine the information requirements of the management?
(A) Total Uncertainty
(B) High Risk
(C) Low Risk
(D) Certainty
Answer (A)
16. The technique(s) that can be used in data mining is/are:
(A) Non-linear Regression Methods
(B) Decision tree
(C) Neural networks
(D) All of the above
Answer (D)
17. A Binomial distribution may be approximated by a Poisson distribution, if:
i. „n‟ is large and „p‟ is large.
ii. „n‟ is small and „p‟ is large.
iii. „n‟ is small and „p‟ is small.
iv. „n‟ is large and „p‟ is small.
Codes:
(A) i, ii and iii
(B) ii only
(C) iii and iv only
(D) iv only
Answer (D)
18. A vendor can make a profit of Rs3,000 with a probability of 0.4 or make a loss of Rs1,000 with a probability of 0.6. What is his expected profit?
(A) Rs600
(B) Rs800
(C) Rs1,000
(D) Rs500
Answer (A)
19. If the sample size is less than 50, which non parametric test can be used to test the independence of attributes?
(A) Chi-square test
(B) Fisher Irwin test
(C) Cochran Q test
(D) Kruskal Wallis test
Answer (B)
20 Identify the window not associated with SPSS.
(A) Editor
(B) Syntax
(C) Output
(D) Format Cells
Answer (D)
21. In a symmetrical distribution
(A) Mean, Median and Mode values are identical.
(B) Mean, Median and Standard Deviation are equal.
(C) Mean, Median and Correlation are equal.
(D) None of the above
Answer (A)
22.From the following, identify the test which can be used both as parametric and non-parametric?
(A) ̳t‘ test
(B) ̳F‘ test
(C) ̳Chi-square‘ test
(D) ̳Wilcoxon‘ test
Answer (C)
23. Arrange the following in ascending order in the testing of hypothesis:
(i) Determining the level of significance
(ii) Deciding the Statistical Test and computation
(iii) Setting the hypothesis
(iv) Decision
Codes:
(A) (iii), (ii), (i) and (iv)
(B) (iii), (i), (ii) and (iv)
(C) (i), (iii), (ii) and (iv)
(D) (i), (iii), (iv) and (ii)
Answer (B)
24. Y = a + bX refers to
(A) Y = independent variable, a = slope of the line, b = Y intercept and X = dependent variable
(B) Y = dependent variable, a = slope of the line, b = Y intercept and X = independent variable
C) Y = independent variable, a = dependent variable, b = Y intercept and X = slope of the line
(D) Y = dependent variable, a = Y intercept, b = slope of the line and X =Independent variable
Answer (D)
25. If a person buys one ticket of a State lottery, then the probability that he wins a price is 0.11. If a person buys one ticket each month for five months, what is the probability that he will win least one price?
(A) 0.55
(B) 0.50
(C) 0.44
(D) 0.56
Answer (A)
26. The standard error of the mean of a random sample of size two or more.
(A) Always exceeds the population standard deviation.
(B) Either exceeds or equals the population standard deviation.
(C) Is always lower than the population standard deviation
(D) Is always equal to the population standard deviation.
Answer (C)
27.A store manager is trying to explore the relationship between percentage fat content (Y) and price (X) of various dairy products. He finds that the coefficient of determination is 0.4624 and the estimated regression line is Y = 0.5 – 0.02 X. The coefficient of correlation would be
(A) 0.68
(B) – 0.68
(C) – 0.02
(D) 0.4624
Answer (B)
28.Which of the following statement on testing of hypothesis is always true?
(A) When the null hypothesis is rejected at 5%, it is always rejected at 1% level of significance.
(B) When the null hypothesis is rejected at 1%, it is also rejected at 5% level of significance.
(C) When the null hypothesis is not rejected at 1%, it is rejected at5% level of significance.
(D) No definite assertion can be made.
Answer(B)
29. Which of the following devices would be considered a typical sequential access medium?
(A) Magnetic Hard Disk
(B) Magnetic Floppy Disk
(C) Magnetic Tape
(D) CD ROM
Answer (C)
30. A Binomial distribution is characterized as β (16,0.5) i.e. sample size is 16 and the probability of success is 0.5. The mean and variance of this distribution will be respectively
(A) 8, 4
B) 8, 8
(C) 4, 8
(D) 4, 4
Answer (A)
31. Two variables are said to be perfectly negatively correlated if
(A) Covariance between them is positive
(B) Coefficient of correlation between them is –1
(C) Covariance between them is negative
(D) None of the above
Answer (B)
32.Which type of sampling is appropriate when the population consists of well- defined groups such that the elements within each group are homogeneous and between each group they are heterogeneous?
(A) Cluster Sampling
(B) Simple Random Sampling
(C) Stratified Sampling
(D) Judgment Sampling
Answer(C)
33.Which of the following is not a type of internet connection?
(A) ISDN
(B) Dial-up
(C) Leased-Line
(D) ISP
Answer (D)
34. The type of transmission channel which can transmit data in one direction only is known as
(A) Simplex
(B) Half Duplex
(C) Full Duplex
(D) Half Simplex
Answer (A)
35.The probability that a contractor will get a plumbing contract is 2/ 3 and that he will get an electric contract is 4/ 9. If the probability of his getting at least one of the two contracts is 4/5, then the probability that he will get both contracts is
(A) 10/45
(B) 8/27
(C) 14/45
(D) 26/45
Answer(C)
36. If a random variable X follows Poisson distribution such that P(X = 1) = P(X = 2), then the mean of the distribution is
(A) 1
(B) 2
(C) 3
(D) 4
Answer (2)
37.The value of R1.23 lies between
(A) –1 and +1
(B) –1 and 0.0
(C) 0.0 and +1
(D) – 0.5 and + 0.5
Answer (C)
38.A source programme is
(A) a programme written in machine language
(B) a programme to be translated into machine language
(C) the machine language translation of a programme written in high-level language
(D) none of the above
Answer (C)
39. Processing data in groups collected over periods of time is known as
(A) Time - sharing
(B) Batch processing
(C) Real – time processing
(D) Multi – processing
Answer (B)
40.Which of the following is not the component of work study?
(A) Work measurement
(B) Case study
(C) Time study
(D) Motion study
Answer(B)
41. Which of the following tests is used to test a hypothesis about the mean of a univariate normal distribution with unknown variance?
(A) Normal test
(B) Student‘s test
(C) Paired t-test
(D) Chi-square test
Answer (B)
42.Mean and variance of Binomial Distribution are
(A) m and σ2
(B) m and nq
(C) m and np
(D) np and npq
Answer(D)
43. If the independent variates xi (i = 1, 2, .....n) are normally distributed about a common mean,a, with a common variance, s2,their mean is also normallydistributed about a, but with avariance
(A) nσ2
(B) σ2n
(C) (σ2)n
(D) σn/2
Answer(C)
44.The weak law of large numbers is another version of (A) Convergence in probability
(B) Random number generation
(C) Financial probability law
(D) Poisson probability law
Answer(A)
45.The basic assumptions underlying the t-test for the difference of two………….sample means are that the parent populations are and population variances are…..
(A) of any shape; equal and known
(B) normal; equal and known
(C) normal; equal but unknown
(D) normal; unequal but known
Answer(B)
46.LAN stands for
(A) Large Area Network
(B) Local Area Network
(C) Long Accurate Network
(D) Lay Access Network
Answer (B)
47. The level of significance is the probability of committing
(A) type I error
(B) type II error
(C) standard error
(D) probable error
Answer (A)
48.A company is producing steel rods. Assuming that the length of steel rods follows normal distribution with mean 10 inches & variance equal to 0.04 sq. inches. The standard error of mean, when a random sample of 16 is taken, will be
(A) 4/10
(B) 2/20
(C) 2/40
(D) None of these
Answer(C)
49.Judgment sampling to select the sampling units from population is termed as
(A) Probability sampling
(B) Non-probability sampling
(C) Systematic sampling
(D) none of these
Answer(B)
50. Correlation coefficient between two variables X & Y is calculated as 0.63. If the measurements of X & Y are changed to U= X- 10 & V= Y+5 the new value of correlation coefficient will be 5 10
(A) 0.063
(B) 0.315
(C) 0.63
(D) None of these
Answer (C)
51.A person appears in an interview for a job in the two companies say X and Y. The chances of selection in company X is 0.7 and chances of selection in Y is 0.6. The probability of his selection in either of the two companies will be
(A) 0.42
(B)0.88
(C) 0.50
(D) None of these
Answer (A)
52 In case of Binomial distribution, the mean is:
(A) Always greater than variance
(B) Always equal to variance
(C) Always less than variance
(D) None of these
Answer (A)
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