1. Statement – I : The absolute value of the difference between an unbiased estimate based on a randomly selected representative sample and the corresponding population parameter is known as sampling error.
Statement – II : Coefficient of correlation is independent of the change of origin and scale of measurement.
Codes :
(1) Both the Statements are true.
(2) Both the Statements are false.
(3) Statement – I is true while Statement – II is false. (4) Statement – I is false while Statement – II is true.
Answer:-1
2. Sampling distribution of mean is very close to the standard normal distribution when
(A) Population is normally distributed.
(B) Population is not normally distributed, but sample size is large.
(C) Both (A) and (B).
(D) Neither (A) nor (B).
Answer: (C)
3.If the value of co-efficient of determination is 0.64, what is the value of coefficient of correlation?
(A) 0.40
(B) 0.80
(C) 0.08
(D) 0.04
Answer: (B)
4. The term (1-B) is called
(A) Level of the test
(B) Power of the test
(C) Size of the test
(D) None of the above
Answer: (B)
5. F-test is used to test the significance of the differences between/among
(A) Two sample mean
(B) More than two samples mean
(C) Variance of two samples
(D) (B) and (C)
Answer:-(D)
6. Karl Pearson’s co-efficient of correlation between two variables is
(A) the product of their standard deviations
(B) the square root of the product of their regression co-efficients
(C) the co-variance between the variables (D) None of the above
Answer:-(B)
7. Statistical software packages for research in social sciences include
(A) SPSS
(B) STATA
(C) MiniTab
(D) All of the above
Answer:-(D)
8. Which of the following is not a restricted random sampling technique ?
(A) Stratified sampling
(B) Simple random sampling
(C) Systematic sampling
(D) Multistage sampling
Answer:-(B)
9.Classification of respondents only on the basis of gender is an application of
(A) Ordinal scale
(B) Nominal scale
(C) Interval scale
(D) Ratio scale
Answer:-(B)
10. In a linear equation, y = a + bx, ‘a’ refers to
(A) Slope
(B) Y-intercept
(C) Dependant variable
(D) Independent variable
Answer:-(B)
11. Which of the following tests can be based on the normal distribution ?
(A) Difference between independent means
(B) Difference between dependant means
(C) Difference between proportions
(D) All of the above
Answer:-(A)
12.From the following, identify one situation where ‘F’ test cannot be used ?
(A) To compare more than two population means.
(B) To test the hypothesis about a single population variance.
(C) To test the hypothesis about two-population variance.
(D) To study about randomized block design.
Answer:-(B)
13.Which statistical test should be applied to test the effectiveness of ‘special coaching’ on the marks scored by the students ?
(A) Paired ‘t’ test
(B) ‘Chi-square’ test
(C) ‘Z’ test
(D) ‘F’ test
Answer:-(A)
14. Identify from the following, the test statistic for which the value of numerator should always be greater than that of denominator.
(A) ‘Chi-square’
(B) ‘F’ value
(C) ‘Z’ value
(D) ‘t’ value
Answer:-(B)
15.Which of the following tests can be applied to ordinal scale data ?
(i) Chi-square test
(ii) ‘Z’ test
(iii) Kruskal-Wallis test
(iv) Wilcoxon Mann-Whitney test
Codes :
(A) (i), (ii) and (iii)
(B) (ii), (iv) and (iii)
(C) (i), (iii) and (iv)
(D) (i), (ii) and (iv)
Answer:-(C)
16. Which of the following softwares are used for data processing ?
(i) EXCEL
(ii) ACCESS
(iii) SPSS
(iv) STAR
(v) PASW
Codes :
(A) (i), (ii), (iii) and (v)
(B) (ii), (iii), (iv) and (v)
(C) (iii) and (iv)
(D) (i), (iii) and (iv)
Answer:-(A)
17.If there are 8 possible classes under consideration for a goodness of-fit, the number of degrees of freedom will be
(A) 8
(B) 7
(C) 6
(D) Cannot be determined from the given information.
Answer:-(D)
18. Match the items in List-I with items in List-II. List – I List – II
(i) Level of significance (a) Sample mean is equal to population mean
(ii) Standard deviation of sampling distribution (b) Parameters
(iii) Numerical value that describes the characteristics of the population (c) Type-I error
(iv) Normally distributed population (d) Standard error
Codes :
(i) (ii) (iii) (iv)
(A) (d) (c) (a) (b)
(B) (c) (d) (b) (a)
(C) (c) (b) (d) (a)
(D) (d) (b) (c) (a)
Answer:-(B)
19.Kendall’s co-efficient of concordance is used to
(A) Test the difference among two or more sets of data.
(B) Test the relationship between variables.
(C) Test the variations in the given data. (D) Test the randomness of samples.
Answer:-(B)
20. Consider the following statistical tests :
(i) ‘F’ test
(ii) ‘t’ test
(iii) ‘z’ test
(iv) ‘Chi-square’ test
Which of these are parametric tests ?
(A) (i), (ii) and (iv)
(B) (i), (iii) and (iv)
(C) (i), (ii) and (iii)
(D) (ii), (iii) and (iv)
Answer:-(C)
21.The difference between sample statistic and its corresponding population parameter is
(A) Sampling error
(B) Measurement error
(C) Coverage error
(D) Non-response error
Answer:-(A)
22. Which kind of test from the following options is the right test to use when the hypotheses for testing are stated as :
H0 : Population mean is equal to the sample mean.
H1 : Population mean is not equal to the sample mean.
(A) One-tailed test
(B) Two-tailed test
(C) Either one tailed or two tailed test
(D) None of the above
Answer:-(B)
23.The steps in data processing are given below : Choose the correct sequence of steps in data processing from the following options :
(i) Data Storage
(ii) Data Validation
(iii) Data Capture
(iv) Report Generation
(v) Data Manipulation
(A) (i), (ii), (iii), (iv), (v)
(B) (ii), (i), (iii), (iv), (v)
(C) (iii), (i), (ii), (iv), (v)
(D) (iii), (ii), (i), (v), (iv)
Answer:-(D)
24. A time series is a set of data collected at
(A) Random intervals
(B) Regular intervals
(C) Convenient intervals
(D) All of the above
Answer:-(B)
25.Given the following data calculate the regression coefficient of X on Y. 99. Pearson’s correlation coefficient = + 0.8.
Regression coefficient of Y on X = 0.8
Choose the correct answer from the following :
(A) 0.32
(B) 0.64
(C) 0.80
(D) 0.82
Answer:-(C)
26. Assertion (A) : User interface is most critical task in DSS design Reason (R) : DSS is used by outside Customers frequently.
(A) (A) is correct, but (R) is wrong.
(B) Both (A) and (R) are wrong.
(C) (A) is wrong, but (R) is correct.
(D) Both (A) and (R) are correct.
Answer:-(A)
27. Which one(s) of the following statements is (are) correct with respect to Decision Support System (DSS) ?
(i) It (DSS) is used by middle level management.
(ii) DSS applies to mostly structured problems.
(iii) DSS relies on mathematical models for analysis. (iv) DSS is largely heuristics based.
Codes :
(A) (i) and (ii) are correct.
(B) (i) and (iii) are correct.
(C) (i), (ii) and (iii) are correct.
(D) All the four are correct.
Answer:-(C)
28. Among the following, choose the most suitable ‘test’ that can be applied to examine the influence of one factor on different groups :
(A) ‘t’ test
(B) ‘F’ test
(C) ‘Chi-square’ test
(D) None of the above
Answer:-(B)
29.A machine produced 20 defective articles in a batch of 400. After overhauling, it produced 10% defectives in a batch of 300. Which test of hypothesis can be applied to the above situation to examine whether the machine has improved ?
(A) Test of significance of a sample proportion (two-tail test)
(B) Test of significance of a sample proportion (one-tail test)
(C) Test of significance of difference between two sample proportion (two-tail test)
(D) Test of significance of difference between two sample proportion (one-tail test)
Answer:-(D)
30. .
If the sum of squares of deviations within samples is 140 with 12 degrees of freedom and the sum of squares of deviations between samples is 190 with 2 degrees of freedom, the test statistic will be
(A) 81.4
(B) 12.28
(C) 8.14
(D) 1.22
Answer:-(C)
31.The regression equation of profits (X) on sales (Y) of a firm is given as : 3Y – 5X + 110 = 0. If the sales of the firm is ` 44,000, the profit will be
(A) ` 23,370
(B) ` 26,422
(C) ` 24,422
(D) ` 21,370
Answer:-(B)
32.Cricketer ‘A’ scores on an average 40 runs with a standard deviation of 5. Scores of players ‘B’ and ‘C’, on an average, are 75 and 90 with standard deviations 10 and 18 respectively. Arrange the players in the descending order of consistency :
(A) A, B and C
(B) C, B and A
(C) B, A and C
(D) C, A and B
Answer:-(A)
33. The life expectancy of people in Kerala is more than that of Tamil Nadu.” This statement is an example of
(A) Descriptive Hypothesis
(B) Causal Hypothesis
(C) Correlational Hypothesis
(D) None of the above
Answer:-(A)
34.If a chi-square test is to be performed on a contingency table with 3 rows and 4 columns, how many degrees of freedom should be used ?
(A) 6
(B) 12
(C) 8
(D) 9
Answer:-(A)
35.Assertion (A) : If regression coefficient of X on Y is greater than one, regression coefficient of Y on X must be less than one. Reason (R) : The geometric mean between two regression coefficients is the co-efficient of correlation. On the basis of the above, choose the appropriate answer :
(A) (A) and (R) are correct.
(B) (A) is correct, but (R) is not correct.
(C) (A) is not correct, but (R) is correct.
(D) Both (A) and (R) are not correct.
Answer:-(A)
36. A distribution, where the value of arithmetic mean is maximum as compared to median and mode, is
(A) Normal distribution
(B) Positively-skewed distribution
(C) Negatively-skewed distribution
(D) None of these
Answer:-(B)
37..The most appropriate average to be used to compute the average rate of growth in population is
(A) Arithmetic mean
(B) Median
(C) Geometric mean
(D) Harmonic mean
Answer:-(C)
38. Match the following items in List – I with most suitable options in List – II : List – I List – II
(a) Fisher (i) Inverse probability
(b) Karl Pearson (ii) Normal Distribution
(c) Thomas Baye’s (iii) Correlation Coefficient (d) Karl Gauss (iv) Index Numbers
Codes : (a) (b) (c) (d)
(A) (iv) (iii) (ii) (i)
(B) (iv) (iii) (i) (ii)
(C) (iv) (ii) (iii) (i)
(D) (iv) (ii) (i) (iii)
Answer;-(B)
39.The law of statistics, which says ‘Moderately large number of items chosen at random from a large group possess the characteristics of the large group’, is referred to as
: (A) The Central Limit Theorem
(B) The Law of Statistical Regularity
(C) The Law of Inertia of Large Numbers (D) None of the above
Answer:-(B)
40. The mathematical formula for joint probabilities P(AB) = P(A/B) × P(B), holds when
(A) The events are statistically independent.
(B) The events are statistically dependent.
(C) The event is either independent or dependent.
(D) None of the above
Answer:-(B)
41.Which one of the following statements is the correct interpretation of P-value of less than 0.01 in hypothesis testing ?
(A) There is overwhelming evidence to infer that the alternative hypothesis is true. (bcz we reject null hypothesis)
(B) There is strong evidence to infer that the alternative hypothesis is true.
C) There is weak evidence to indicate that the alternative hypothesis is true.
(D) There is no evidence to infer that the alternative hypothesis is true.
Answer:-(A)
42. Assertion (A) : The expected values should be atleast 5 to apply the chi-square test.
Reason (R) : The chi-square distribution provides an adequate approximation of the sampling distribution.
Indicate the correct answer from the following :
Codes :
(A) Both (A) and (R) are true, and (R) is the right explanation.
(B) Both (A) and (R) are true, but (R) is not the correct explanation.
(C) (A) is true, but (R) is false.
(D) (A) is false, but (R) is true.
Answer:-(A)
43.In a decision problem having four possible alternative decisions and six possible states of nature, the pay-off table will include
(A) Four payoffs
(B) Six payoffs
(C) Twenty four payoff
(D) Ten payoff
Answer:-(C)
44. 71.If the dependent variable increases as the independent variable increases in an estimating equation, the coefficient of correlation will be in the range
(A) 0 to (–) 1 (B) 0 to (–) 0
(C) 0 to (–) 0.05 (D) 0 to 1
Answer:-(D)
45.Assertion (A) : When there is an evidence of a linear relationship between two variables, it may not always mean an independent dependent relationship between the two variables. Reason (R) : The causal relationship between the two variables may not imply a reasonable theoretical relationship between the two.
Choose the right answer from the following statements :
Codes :
(A) Both (A) and (R) are true and (R) is the correct explanation.
(B) Both (A) and (R) are true, but (R) is not the correct explanation.
(C) (A) is true, but (R) is false.
(D) (A) is false, but (R) is true.
Answer:-(A)
46. Which one of the following options deals with the process of making estimates, predictions and decisions ?
(A) Descriptive statistics
(B) Inferential statistics
(C) Probability theory
(D) None of the above
Answer:-(B)
47.A hypothesis test is being performed for a process in which a Type-I error will be very costly, but a Type-II error will be relatively inexpensive and unimportant. Which of the following would be the best choice for alpha (α) in this test ?
(A) 0.10 (B) 0.05
(C) 0.01 (D) 0.50
Answer:-(C)
48 In the hypothesis testing procedure a researcher may commit type II error in which of the following conditions ?
(A) When the true null hypothesis is rejected.
(B) When the alternative hypothesis is accepted.
(C) When the false null hypothesis is accepted.
(D) When the true null hypothesis is accepted.
Answer:-(C)
49.Which one of the following tenets is not correct in the context of Central Limit Theorem ?
(A) If a population from which a sample is drawn is normally distributed the sampling distribution of mean (SDM) will be normal for all sample sizes.
(B) The mean of the SDM is the population mean.
(C) If the population is not normal from which the sample is drawn, the SDM is not normal for any sample size.
(D) If the population is not normal from which a sample is drawn, the SDM approaches normality as the sample size increases.
Answer:-(C)
50. The transformation of raw data into a form that will make them easy to understand and interpret, rearranging and manipulating data to generate information is called
(A) Descriptive research
(B) Descriptive analysis
(C) Causal research
(D) Exploratory research
Answer:-(B)
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