All Free Quantitative Methods MCQs with Answers
Every Quantitative Methods question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
360 questions · page 16 of 18
- 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 level