All Free Statistics MCQs with Answers

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545 questions · page 54 of 55

531. To purchase the fruit, we use the _________ sampling?

Moderate
  • A. Systematic
  • B. Cluster
  • C. Stratified
  • D. Judgment

Explanation: Judgment sampling selects items based on the investigator's or purchaser's assessment rather than by a random mechanism. Choosing fruit based on visible quality is a typical judgment-sampling situation.

Correct answer: Judgment

532. Non-random sampling is also called___________________?

Moderate
  • A. Biased sampling
  • B. Non-prob.sampling
  • C. Less than sampling
  • D. Representative sampling

Explanation: Non-random sampling does not give every population unit a known or equal chance of selection, so it is commonly called non-probability sampling. It may also introduce selection bias, but option b is the standard name.

Correct answer: Non-prob.sampling

533. A sampling distribution is the probability distribution for which one of the following___________?

Moderate
  • A. A sample
  • B. A sample statistic
  • C. A population
  • D. A population parameter

Explanation: A sampling distribution describes how a statistic, such as a sample mean or proportion, varies across all possible samples from a population. It is not the distribution of one particular sample or of the population parameter itself.

Correct answer: A sample statistic

534. 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 ?

Moderate
  • 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 correct

535. The difference between statistics and parameter is called:______________?

Moderate
  • 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 error

536. Standard deviation of the sampling distribution of a statistics is called_____________?

Moderate
  • 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 error

537. In probability sampling each sampling unit has some____________________?

Moderate
  • 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: Know

538. There are ____________ probability sampling?

Moderate
  • 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: Four

539. The smallest individuals which constitute the entire population are called __________________?

Moderate
  • 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 units

540. In the sampling without replacement a sampling unit can be selected_______________?

Moderate
  • 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 Once