stat mcqs

Statistics Mcqs Paper 2014

1. Two mutually exclusive events are also:

(a) Dependent events (b) Independent events (c) Exhaustive events (d) None of these

2. In which definition of probability, the condition of mutually exclusive and equally likely events is

imposed?

(a) Subjective approach (b) Relative frequency (c) Classical definition (d) None of these

3. In Poisson distribution:

(a) Mean > Variance (b) Mean < Variance (c) Mean  Variance (d) None of these

4. When sample size n becomes larger and larger and sample estimate tends to the respective population

parameter, this property of estimators is called:

(a) Unbiasedness (b) Consistency (c) Reliability (d) None of these

5. If the voting preference of 100,000 registered voters are to study, what kind of sampling should be

used?

(a) Simple Random Sampling (b) Quota Sampling (c) Stratified Random Sampling (d) None of these

6. If the sampling frame not available then which of the sampling technique could be adopted with ease:

(a) Simple Random Sampling (b) Stratified Random Sampling

(c) Cluster Random Sampling (d) None of these

7. The complete list of the sampling units is called:

(a) Sampling Frame (b) Unit List (c) Sample Space (d) None of these

8. A cricket captain wins the toss for three consecutive matches. What is the probability that he will call

correctly for the fourth match?

(a) 1/2 (b) 1/4 (c) 1/8 (d) None of these

9. If X has binomial distribution with parameter p and n then the variance of X is:

(a) n pq 

(b) np (c)

11. Which of the following statement is true for Normal distribution?

(a) It is skewed to the right (b) It has always a mean of zero and a standard deviation of one

(c) Its mean, median and mode are equal (d) None of these

12. Which of the following statement is true?

(a) The slope coefficient in regression and the correlation coefficient always have the same sign

(b) A regression line always passes through origin (c) The correlation coefficient can exceed than 1

(d) None of these

13. Testing of hypotheses is a phase to check the validity of:

(a) Population parameter (b) Sample estimate (c) Population (d) None of these

14. Any set of outcomes of a random experiments is called:

(a) Event (b) Event space (c) Sample points (d) None of these

15. When a difference between two groups is statistically significant this means that:

(a) The difference is statistically real but of little practical significance

(b) The difference is probably the result of sampling variation

(c) The difference is not likely to be due to chance variation (d) None of these

16. The degree of freedom for two independent samples will be based on:

17. As the sample size increases:

(a) The standard deviation of the population decreases (b) The population means increases

(c) The standard error of the mean decreases (d) None of these

18. With a lower level of significance, the probability of rejecting a true null hypothesis:

(a) Remains same (b) Increases (c) Decrease (d) None of these

19. Which one is NOT the characteristic of a random experiment:

(a) It has at least two outcomes (b) The number of all possible outcomes are not known in advance

(c) It can be repeated any number of times under similar conditions (d) None of these

20.If a card is chosen from a standard deck of cards, what is the probability of getting a diamond (♦) or a club(♣)?

A 26/52=1/2
B 13/52
C 20/52
D 12/52

21.A listing of the possibile outcomes of an experiment and their corresponding probability is called

A Random Variable
B Contingency table
C Bayesian table
D Probability distribution
E Frequency distribution

22.If you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is 7?

A 4/36
B 13/36
C 21/36
D 15/36
Question 4

23. The collection of one or more outcomes from an experiment is called

A Probability
B Event
C Random Variable
D Z-Value
E Random Experiment
24. Which of the following is not a condition of the binomial distribution?

A Only 2 possible outcomes
B have constant probability of success
C must have at least 3 trials
D trials must be independent
25. Which of the following is not an example of a discrete probability distribution?

A The sale or purchase price of a house
B The number of bedrooms in a house
C The number of bathrooms in a house
D Whether or not a home has a swimming pool in it.
26. If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven?

A 4/52
B 1/26
C 8/52
D 1/169
27. If the occurrence of one event means that another cannot happen, then the events are

A Independent
B Mutually Exclusive
C Bayesian
D Empirical
28. In which approach to probability the outcomes are equally likely to occur?

A Classical Probability
B Subjective Probability
C Relative Frequency
D Independent
29. In a Poisson probability distribution

A The mean and variance of the distribution are same (equal)
B The probability of success is always greater than 5
C The number of trials is always less than 5
D It always contains a contingency table
30. In special rule of addition of probability, the events are always

A Independent events
B Mutually Exclusive events
C Bayesian
D Empirical
31. The joint probability isA The likelihood of two events happening together
B The likelihood of an event happening given that another event has already happened
C Based on two mutually exlclusive events
D Also called Prior probability
32. The the special rule of multiplication of probability, the events must be

A Independent
B Mutually exclusive
C Bayesian
D Empirical
33. Which of the following is not a correct statement about a probability.

A It must have a value between 0 and 1
B It can be reported as a decimal or a fraction
C A value near 0 means that the event is not likely to occur/happens
D It is the collection of several experiments.
34.Binomial distribution is negatively skewed when

A p=0
B p>1/2
C p<1/2
D p=-1/2