Statistics Online Quiz

25 Questions | Total Attempts: 87

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Statistics  Online Quiz

This online quiz contains 25 questions and each question carries 1 mark. Those who get 15 and above marks will receive E-certificate. There is no negative marks.


Questions and Answers
  • 1. 
    The average of seven observations 7, 9, 12, x, 5, 4, 11 is 9. The value of x is A) 13 B) 14 C) 15 D) 8
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 2. 
    The arithmetic mean of n natural numbers from 1 to n is -------------  A.  n(n+1)/2  B. n(n+1)(2n+1)/6  C.   (n+1)/2  D. (2n+1)/2
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 3. 
    Probability can take values  A) -∞ to ∞ B) -∞ to 1 C) -1 to 1 D) 0 to 1
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 4. 
    The probability of the intersection of two mutually exclusive events is always A) Infinity B) Zero C) One  D) None of the above
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 5. 
    The distribution function F(x) is equal to:       (A) P(X = x)       (B) P( X ≤ x)        (C) P( X ≥ x)        (D) All of the above
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 6. 
    In Bernouli distribution, probability of success S is A. P(S) = ½ B. P(S) = 0 C. P(S) = 1 D. P(S) remains constant in all trials
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 7. 
    The distribution possessing memoryless property  (A) Gamma distribution  (B) Geometric distribution (C) hyper geometric distribution (D) all the above
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 8. 
    Student’s t- distribution is given by A) G.W. Snedecor B) R.A. Fisher C) W.S. Gosset D) None of the above
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 9. 
     An estimator is considered to be the best if its distribution is A. Discrete B. Continuous C. normal D. Concentrated about the true parameter value
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 10. 
    The estimators obtained by the method of moments when compared to ML estimators    are A. Less efficient B. More efficient C. Equally efficient D. None of the above
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 11. 
    A test is one sided or two sided depends on A. Simple hypothesis B. Composite hypothesis C. Null hypothesis D. Alternative hypothesis
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 12. 
    Level of significance is the probability of …………. A. Type I error B. Type II error C. No error D. Any of the above
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 13. 
    Degrees of freedom is related to  A.No. of observations in a set B. No. of independent observations in a set C. Hypothesis under test D. None of the above
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 14. 
    Non parametric methods are based on: A. Mild assumptions B. Stringent assumptions C. No assumptions D. None of the above
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 15. 
    The outcomes of tossing a coin two times are a variable of type ………….. A. Continuous random variable B. Discrete random variable C Neither discrete nor continuous D.  Both (a) & (b)
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 16. 
    The conditional probability of B given A is ------------   A. P(A∩B) / P(B)   B. P(AUB) / P(A)   C. P(A∩B) / P(A)   D. P(A)P(B)
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 17. 
    If P(A) = 0.4, P(B)=0.2 and events A and B are independent, then P(A∩B)  is A. 0.6 B. 0.08 C. 0.4 D. 0.02
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 18. 
    If X and Y are two random variables then the expression E(X-E(X))(Y-E(Y)) A. Moments of X and Y B. Variance of X C. Variance of Y D. Covariance of (XY)
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 19. 
    If X is a random variable then E(X-μ)r  is called A. rth central moment B. rth raw moment C. Mean  D. Variance
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 20. 
    The moment generating function of Binomial distribution is ……….   A. (q + pet)n  B. (q + pet)-n  C.  (q + pet)  D. (q + pe-t)
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 21. 
     If ,  X~ N(8, 64) the standard normal variate Z is given by …………..   A. Z = (X-64) / 8   B. Z = (X-8) / 64   C. Z = (X-8) / 8   D. Z = (8-x) / 8
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 22. 
    The formula for simple correlation coefficient between the variables X and Y with usual notations is   A.  Cov(X,Y) / √V(X)√V(Y)  B.  σXY / σXσY  C. μXY / μXμY D. Both (a) & (b)
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 23. 
    Standard error of the sample correlation coefficient r based on n paired value is  A. (1+r2) / √n   B. (1-r2) / n   C. (1-r2) / √n D. None of the above
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 24. 
     If  ρXY = -1 the relation between X and Y is of the type: A. When Y increases, X also increases B. When Y decreases, X also decreases C. X is equal to –Y D. When Y increases, X proportionally decreases
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 25. 
    If C is a constant in a continuous probability distribution, then p(x = C) is always equal to-------------   (A) Zero  (B) One  (C) Negative  (D) Impossible
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

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