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Sampling Theory




Question


Q1. Random sampling implies
(a) Haphazard sampling
(b) Probability sampling
(c) Systematic sampling
(d) Sampling with the same Probability for each unit .

Solution.
(d) Sampling with the same Probability for each unit .
Solution

Q2. Sampling Fluctuations may be described as
(a) The variation in the value of a statistic
(b) The variation in the value of the sample
(c) The differences in the value of a parameter
(d) The variation in the value of observations

Solution
(a) The variation in the value of a statistic
Solution

Q3. A measure of precision obtained by sampling is given by
(a) Standard error
(b) Sampling Fluctuations
(c) Sampling distribution
(d) Expectation

Solution.
a) Standard error
Solution

Q4. A population comprises 5 members. The number of all possible samples of size 2 that can be drawn from it with replacement is
(a) 100 (b) 15 (c) 125 (d) 25

Solution.
25
Solution

Q5. According to Neyman's allocation , in stratified sampling
(a) Sample size is proportional to the population size
(b) Sample size is proportional to the sample SD
(c) Sample size is proportional to the sample variance
(d) Population size is proportional to the sample variance

Solution.
(a) Sample size is proportional to the population size
Solution

Q6. The most commonly used confidence interval is
(a) 95 percent (b) 90 percent (c) 94 percent (d) 98 percent

Solution.
95 percent
Solution

Q7. The sample standard deviation is
(a) A baised estimator
(b) An unbaised estimator
(c) A baised estimator for population SD
(d) A baised estimator for population variance

Solution.
(c) A baised estimator for population SD
Solution

Q8. Which sampling is subjected to the discretion of the sampler ?
(a) Systematic sampling
(b) Simple Random sampling
(c) Purposive sampling
(d) Quota sampling

Solution.
(c) Purposive sampling
Solution

Q9. As the sample size increases, standard error
(a) Increases (b) Decreases (c) Remains constant (d) Decreases proportionately

Solution.
Decreases
Solution

Q10. The criteria for an ideal estimator are
(a) Unbaisedness, consistency,efficiency and sufficiency
(b) Unbaisedness , Expectation, sampling and estimation
(c) Estimation, consistency,sufficiency and efficiency
(d) Estimation, expectation, unbaisedness and sufficiency

Solution.
(a) Unbaisedness, consistency,efficiency and sufficiency
Solution