Free Sampling and Sampling Distributions MCQs with Answers
32 Sampling and Sampling Distributions MCQs from Statistics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
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21. Random samples of size 17 are from a population that has 200 elements, a mean of 36, and a standard deviation of 8. which of the following best describes the from of the sampling distribution of the sample mean for this situation ?
- A. Approximately normal because the sample size is small relative to the population size
- B. Approximately normal because of the central limit theorem
- C. Exactly
- D. None of these alternatives is correct
Explanation: With a sample size of only 17, the central limit theorem alone cannot ensure an approximately normal sample-mean distribution, because no population shape is specified. It is not necessarily exact normal, so none of the listed alternatives is correct.
Correct answer: None of these alternatives is correct22. The difference between statistics and parameter is called:______________?
- A. Bias
- B. Standard
- C. Sampling error
- D. both (a) and (b)
Explanation: Sampling error is the difference between a sample statistic and the corresponding population parameter. Bias is a systematic tendency of an estimator to miss the parameter, not the general difference itself.
Correct answer: Sampling error23. Standard deviation of the sampling distribution of a statistics is called_____________?
- A. Serious error
- B. Dispersion
- C. Standard error
- D. Difference
Explanation: The standard deviation of a statistic's sampling distribution is called its standard error. It measures the typical sampling-to-sampling variation of the statistic.
Correct answer: Standard error24. In probability sampling each sampling unit has some____________________?
- A. Unknown
- B. Large
- C. Small
- D. Know
Explanation: In probability sampling, every sampling unit has a known, nonzero probability of selection. This known probability distinguishes probability sampling from non-probability sampling.
Correct answer: Know25. There are ____________ probability sampling?
- A. Four
- B. Six
- C. Three
- D. Seven
Explanation: The four commonly taught probability sampling methods are simple random, stratified, systematic, and cluster sampling. Therefore, the number is four.
Correct answer: Four26. The smallest individuals which constitute the entire population are called __________________?
- A. Sampling frame
- B. Sampling units
- C. Sample pop
- D. Sample design
Explanation: A sampling unit is the smallest identifiable member or group of members selected in a sample, such as a person, household, or institution. A sampling frame is the list from which those units are selected.
Correct answer: Sampling units27. In the sampling without replacement a sampling unit can be selected_______________?
- A. Only Once
- B. More than once
- C. Less than once
- D. None of these
Explanation: In sampling without replacement, a selected unit is removed from further consideration, so it cannot be selected again. Hence each unit can be selected only once.
Correct answer: Only Once28. If the sampled population has a normal distribution, when is the sampling distribution of the sample mean X also a normal distribution ?
- A. Only when the sample size is at least 100.
- B. Only when the sample size is smaller than 30
- C. Always
- D. Only when the sample size is at least 30.
Explanation: A sample mean from a normally distributed population is normally distributed for every sample size. The sample-size rule of 30 is mainly used with non-normal populations through the central limit theorem.
Correct answer: Always29. In statistics, a sample means______________?
- A. A portion of the sample
- B. A portion of the population
- C. all the items under investigation
- D. none of the above
Explanation: A sample is a selected portion of the population used to obtain information about the whole. The entire group under investigation is called the population, not the sample.
Correct answer: A portion of the population30. Statistic is a numerical quantity, which is calculated from?
- A. Population
- B. Sample
- C. Data
- D. Observations
Explanation: A statistic is a numerical measure computed from a sample, whereas a numerical measure computed from a population is called a parameter. The sample is therefore the defining source of a statistic.
Correct answer: Sample