Probability and Sampling Distributions in Statistics MCQ
Probability and Sampling Distributions in Statistics MCQ
1. The larger the population standard deviation, the larger the standard error of the mean will be.
Answer
Correct Answer:
True
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2. The larger the population standard deviation, the larger the standard error of the mean will be.
Answer
Correct Answer:
True
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3. The standard error is the sample variance divided by the square root of the sample size.
Answer
Correct Answer:
False
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4. If a researcher selects a sample of 36 participants from a population with a variance of 16, then the standard error of the mean will be 2.0.
Answer
Correct Answer:
False
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5. On average the sample mean will equal the population mean, and the sample mean is an unbiased estimator.
Answer
Correct Answer:
True
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6. A sampling distribution is a distribution of all population means or variances that could be obtained in samples of a given size from the same population.
Answer
Correct Answer:
False
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7. A researcher states that a sample of 100 babies from a rural area weighed 25 ± 7.5 (M ± SEM) pounds at their first birthday. Which value is the standard error of the mean?
Answer
Correct Answer:
7.5
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8. A sample of 25 participants where the population mean was 10 and standard deviation was 5 completed a word recall test. What is the probability of obtaining a sample mean that is at least two standard deviations larger than the population mean?
Answer
Correct Answer:
.0228
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9. A researcher decreases the sample size, which will:
Answer
Correct Answer:
Increase the value of standard error.
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10. A researcher decreases the sample size, which will:
Answer
Correct Answer:
Increase the value of standard error.
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11. The following samples were selected by two researchers. Which is associated with a smaller standard error of the mean? Researcher A: n = 36, u = 5, ϭ = 12; Researcher B: n = 36, u = 32, ϭ = 6.
Answer
Correct Answer:
Researcher B
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12. A researcher selects a sample of 49 participants from a population with a standard deviation of 7. What is the standard error of the mean?
Answer
Correct Answer:
Equal to 1
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13. A sample of 144 participants from a population with a mean of 100 and a variance of 36 completed a cognitive test. What is the standard error of the mean?
Answer
Correct Answer:
0.5
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14. According to the central limit theorem, as the number of samples in the sampling distribution increases, the sampling distribution of sample means selected at random from that population will:
Answer
Correct Answer:
Approach the shape of a normal distribution.
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15. The variance of the sampling distribution of sample means equals the ________ divided by the sample size.
Answer
Correct Answer:
Population variance
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16. The variance of the sampling distribution of sample means equals the ________ divided by the sample size.
Answer
Correct Answer:
Population variance
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17. Sampling strategy used in developing statistical theory is based on:
Answer
Correct Answer:
Participants being replaced after being sample
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18. The following are true for sampling without replacement, except:
Answer
Correct Answer:
It is used in the development of statistical theory.
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19. Unbiased Estimator is any sample statistic, such as a sample variance when we divide SS by_____, obtained from a randomly selected sample that equals the value of its respective population parameter, such as a population variance.
Answer
Correct Answer:
N-1
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20. The standard deviation of a sampling distribution of sample means is known as_____
Answer
Correct Answer:
Both a and b
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21. The standard deviation of a sampling distribution of sample means is known as_____
Answer
Correct Answer:
Both a and b
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22. Sampling Without Replacement is a method of sampling in which each participant or item selected is not replaced before the next selection.
Answer
Correct Answer:
True
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23. Sampling With Replacement is a method of sampling in which each participant or item selected is not replaced before the next selection.
Answer
Correct Answer:
False
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24. Sampling Error is the extent to which sample means selected from the same population _____ one another.
Answer
Correct Answer:
Differ
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25. Sample Distribution is a distribution of all _____ that could be obtained in samples of a given size from the same population.
Answer
Correct Answer:
Both a and b
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26. Sample Design is a specific plan or protocol for how individuals will be _____ from a population of interest.
Answer
Correct Answer:
Both band c
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27. Law Of Large Numbers states that increasing the number of observations or samples in a study will _____ the standard error.
Answer
Correct Answer:
Decrease
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28. Central Limit Theorem explains that regardless of the distribution of scores in a population, the sampling distribution of sample means selected at random from that population will approach the shape of a_____
Answer
Correct Answer:
Normal Distribution
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