Quantitative Aptitude - Sampling Theory
Exam Duration: 45 Mins Total Questions : 30
A ________ is a complete or whole set of possible measurements/data corresponding to the entire collection of units.
- (a)
Sample
- (b)
Population
- (c)
Both
- (d)
None
A parameter is a characteristic of
- (a)
Population
- (b)
Sample
- (c)
Both (a) and (b)
- (d)
(a) or (b)
A statistic is a _______ variable
- (a)
Simple
- (b)
Compound
- (c)
Random
- (d)
None
A ________ is the set of measurement I data that are actually selected in the course of an investigation/enquiry.
- (a)
Sample
- (b)
Population
- (c)
Both
- (d)
None
Two basic statistical laws concerning a population are
- (a)
The law of statistical irregularity and the law of inertia of large numbers
- (b)
The law of statistical regularity and the law of inertia of large numbers
- (c)
The law of statistical regularity and the law of inertia of small numbers
- (d)
The law of statistical irregularity and the law of inertia of large numbers
Which would you prefer for ________ "The Statistical inquiry is in depth"
- (a)
Full enumeration
- (b)
Sampling
- (c)
Both
- (d)
None
Which would you prefer for ________ "The universe is large"
- (a)
Full enumeration
- (b)
Sampling
- (c)
Both
- (d)
None
In control of book keeping and clerical errors statistical sampling methods are used
- (a)
True
- (b)
False
- (c)
Both
- (d)
None
According to Neyman's allocation in stratified sampling:
- (a)
Sample size is proportional to the product of population size and its SD
- (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
Which sampling is flexible?
- (a)
Simple random sampling
- (b)
Multistage sampling
- (c)
Stratified sampling
- (d)
Systematic sampling
___________sampling is called lottery sampling
- (a)
Random
- (b)
Systemic
- (c)
Stratified
- (d)
Multi-Stage
Simple random sampling is
- (a)
A probabilistic sampling
- (b)
A non-probabilistic sampling
- (c)
A mixed sampling
- (d)
Both (b) and (c)
_________sampling is similar to cluster sampling
- (a)
Judgment
- (b)
Quota
- (c)
Area
- (d)
None
Sampling distribution approaches ________ distribution when the population distribution is not normal provided the sample size is sufficiently large.
- (a)
Binomial
- (b)
Normal
- (c)
Poisson
- (d)
None
The measure of divergence is ______ as the size of the sample approaches that of the population.
- (a)
More
- (b)
Less
- (c)
Same
- (d)
None
The mean of the sampling distribution of sample proportion is ________ the population proportion
- (a)
Greater than
- (b)
Less than
- (c)
Equal to
- (d)
None
_________ is used to set confidence limits for population parameter and in tests of Significance
- (a)
Standard Error
- (b)
Sampling distribution
- (c)
Mean
- (d)
None
The standard error of the mean for finite population is very close to the standard error of the mean for
- (a)
Small
- (b)
Large
- (c)
Moderate
- (d)
None
The sample standard deviation is
- (a)
A biased estimator
- (b)
An unbiased estimator
- (c)
A biased estimator for population SD
- (d)
A biased estimator for population variance
The finite population multiplier is ignored when the sampling function is
- (a)
Greater than 0.05
- (b)
Lessthan 0.5
- (c)
Less than 0.05
- (d)
Greater than 0.5
For 5 sample values, we have ________ degree of freedom
- (a)
5
- (b)
3
- (c)
4
- (d)
None
If we do not have any knowledge of population variance, then we have to estimate it from the
- (a)
Frequency
- (b)
Sample data
- (c)
Distribution
- (d)
None
If the Expected value of an estimator is equal to the value of the parameter. Then the estimator is
- (a)
Biased
- (b)
Unbiased
- (c)
Both (a) & (b)
- (d)
Neither (a) nor (b)
A population comprises 3 numbers 2, 6, 4. Find all possible no. of samples of size two with replacement
- (a)
27
- (b)
6
- (c)
9
- (d)
None of these
A die was thrown 400 times and 'six' resulted 80 times then observed value of proportion is
- (a)
0.4
- (b)
0.2
- (c)
5
- (d)
None
A sample of size 3 is taken from a population of 10 members with replacement. If the sample observations are 1,3 and 5, what is the estimate of the standard error of sample mean?
- (a)
1.96
- (b)
1.02
- (c)
2.25
- (d)
2.28
Out of 300 households in a town 123 have Broadband Connection. Find 95% confidence limits to the true of the proportion of the households with T.V. sets in the whole town. Z Value = 1.96 for Two Tailed Test with Level of Significance of 5%.
- (a)
0.355 - 0.465
- (b)
0.455 - 0.565
- (c)
0.512 - 0.575
- (d)
0.275 - 0.315
Out of 20,000 customer's ledger accounts, a sample of 600 accounts was taken to test the accuracy of posting and balancing wherein 45 mistakes were found. Assign limits within which the number of defective cases can be expected at 5 % level.
- (a)
0.053 - 0.097
- (b)
0.040 - 0.612
- (c)
0.337 - 0.448
- (d)
0.025 - 0.068
A factory produces 60,000 pairs of shoes on a daily basis. From a sample of 600 pairs, 3 per cent were found to be of inferior quality. Estimate the number of pairs that can be reasonably expected to be spoiled in the daily production process at 95% level of confidence.
- (a)
[989,2612]
- (b)
[782,2618]
- (c)
[882,2618]
- (d)
None of these
In a marketing survey for the introduction of a new product in a town, a sample of 400 persons was drawn. When they were approached for sale, 80 of them purchased the product. Find 95% confidence limits for the percentage of persons who would buy the product in the town.
- (a)
[16.08,23.92]
- (b)
[16.28,24.92]
- (c)
[17.08,23.95]
- (d)
None of these