Free Sampling and Estimation MCQs with Answers
30 Sampling and Estimation MCQs from Quantitative Methods, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Sampling covers population and sample, sampling frames, simple random, systematic, stratified, cluster and convenience methods, along with sampling and non-sampling errors. Estimation includes sample statistics, population parameters, point estimates, confidence intervals and margins of error, with attention to how sample size affects precision.
Last updated
30 questions · page 1 of 2
- A. An equal chance of selection
- B. A fixed order of selection
- C. An equal number of strata
- D. A separate sampling interval
Explanation: Simple random sampling gives every possible sample of the chosen size an equal probability of being selected.
Correct answer: An equal chance of selection- A. Cluster sampling
- B. Stratified sampling
- C. Systematic sampling
- D. Convenience sampling
Explanation: Stratified sampling divides the population into relevant subgroups called strata and samples from each one.
Correct answer: Stratified sampling- A. 10
- B. 20
- C. 100
- D. 200
Explanation: The sampling interval is calculated as N divided by n, so 2,000 divided by 100 equals 20.
Correct answer: 20- A. The sample mean
- B. The sample range
- C. The sample variance with divisor n
- D. The sample standard deviation
Explanation: The sample mean has an expected value equal to the population mean, so it is an unbiased estimator.
Correct answer: The sample mean- A. 0.33
- B. 2
- C. 6
- D. 72
Explanation: The standard error of a sample mean is sigma divided by the square root of n.
Correct answer: 2- A. (46.08, 53.92)
- B. (49.80, 50.20)
- C. (48.04, 51.96)
- D. (40.00, 60.00)
Explanation: The standard error is 10 divided by the square root of 100, which equals 1.
Correct answer: (48.04, 51.96)- A. Twice as large
- B. Four times as large
- C. Half as large
- D. Unchanged
Explanation: Standard error varies inversely with the square root of sample size. Increasing the sample size fourfold increases the square root…
Correct answer: Half as large- A. Variation caused by selecting a sample
- B. A larger margin of sampling error
- C. Random differences between samples
- D. A respondent giving an inaccurate answer
Explanation: A respondent giving an inaccurate answer creates response error, which is a non-sampling error.
Correct answer: A respondent giving an inaccurate answer- A. Finite population correction
- B. Continuity correction
- C. Bonferroni correction
- D. Yates correction
Explanation: The finite population correction accounts for the reduced variability that occurs when sampling without replacement from a small…
Correct answer: Finite population correction- A. It always equals the parameter
- B. It has zero variance in every sample
- C. It approaches the parameter as sample size grows
- D. It is necessarily unbiased in small samples
Explanation: An estimator is consistent when its estimates approach the true population parameter as the sample size increases.
Correct answer: It approaches the parameter as sample size grows- A. Stratified random sampling
- B. Convenience sampling
- C. Systematic random sampling
- D. Cluster sampling
Explanation: Cluster sampling selects groups, such as villages, and studies units within the selected groups.
Correct answer: Cluster sampling- A. A list of population units available for selection
- B. A formula for calculating the sample variance
- C. A statement of the research hypothesis
- D. A table showing the final survey results
Explanation: A sampling frame is the operational list or source from which the sample is drawn.
Correct answer: A list of population units available for selection- A. Uniform, regardless of the population
- B. Normal, under broad conditions
- C. Identical to the population distribution
- D. Exponential, for every sample size
Explanation: The central limit theorem states that the sampling distribution of the mean approaches a normal distribution as sample size grows, subject…
Correct answer: Normal, under broad conditions- A. The confidence coefficient
- B. The population variance
- C. The sample proportion
- D. The sampling interval
Explanation: The sample proportion is used as the point estimate of the corresponding population proportion.
Correct answer: The sample proportion- A. The standard normal distribution
- B. The uniform distribution
- C. The chi-square distribution
- D. The Student t distribution
Explanation: When the population standard deviation is unknown and the sample is small, the Student t distribution accounts for the extra uncertainty…
Correct answer: The Student t distribution- A. Wider around the estimate
- B. Narrower around the estimate
- C. Unchanged in its width
- D. Centered at zero automatically
Explanation: A higher confidence level requires a larger critical value, so the margin of error increases.
Correct answer: Wider around the estimate- A. Variance is always equal to zero
- B. Observed value equals every sample value
- C. Expected value equals the population parameter
- D. Standard error increases with sample size
Explanation: An unbiased estimator has an expected value equal to the parameter it estimates.
Correct answer: Expected value equals the population parameter- A. Values of all population units
- B. Ranking of observations in one sample
- C. Errors recorded in a questionnaire
- D. Probability distribution of a statistic across samples
Explanation: A sampling distribution gives the probabilities of the values taken by a statistic over repeated samples of the same size.
Correct answer: Probability distribution of a statistic across samples- A. Population share in the entire population
- B. Alphabetical position in the frame
- C. Distance from the research office
- D. Order in which units respond
Explanation: Proportional allocation gives each stratum a sample share matching its share of the population.
Correct answer: Population share in the entire population- A. Using a higher confidence level
- B. Using a lower confidence level
- C. Using a larger population variance
- D. Removing random selection from sampling
Explanation: A lower confidence level uses a smaller critical value and therefore produces a smaller margin of error, assuming the sample size and…
Correct answer: Using a lower confidence levelSampling and Estimation MCQs: common questions
Are these Sampling and Estimation MCQs free?
Yes. All Sampling and Estimation MCQs from Quantitative Methods are free on TestUstad, with unlimited attempts and no account needed. Nothing on this page is a sample or a trial.
How many Sampling and Estimation MCQs are on this page?
There are 30 Sampling and Estimation MCQs in the Quantitative Methods bank, shown 20 to a page with the correct answer and an explanation on each.
Does every Sampling and Estimation MCQ have an explanation?
Yes. Each Sampling and Estimation question shows the correct option and a written explanation of why it is correct, so a wrong answer teaches you something rather than just being marked wrong.
Can I take a timed Sampling and Estimation test?
Yes. The practice button on this page starts a free Sampling and Estimation test drawn from the Quantitative Methods bank. It marks each answer instantly, gives you a score at the end, and can be retaken as many times as you like.