Probability and Sampling Distributions in Statistics MCQs
Probability and Sampling Distributions in Statistics MCQs
The following Probability and Sampling Distributions in Statistics MCQs have been compiled by our experts through research, in order to test your knowledge of the subject of Probability and Sampling Distributions in Statistics. We encourage you to answer these 20+ multiple-choice questions to assess your proficiency.
Please continue by scrolling down.
1: 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_____
A. Normal Distribution
B. Uniform Distribution
C. Cauchy Distribution
D. Binomial Distribution
2: Law Of Large Numbers states that increasing the number of observations or samples in a study will _____ the standard error.
A. Increase
B. Decrease
C. Have no effect
D. All of these
3: Sample Design is a specific plan or protocol for how individuals will be _____ from a population of interest.
A. Replaced
B. Selected
C. Sampled
D. Both band c
4: Sample Distribution is a distribution of all _____ that could be obtained in samples of a given size from the same population.
A. Sample Means
B. Sample Variances
C. Sample Ranges
D. Both a and b
5: Sampling Error is the extent to which sample means selected from the same population _____ one another.
A. Resemble
B. Differ
C. Replace
D. All of these
6: Sampling With Replacement is a method of sampling in which each participant or item selected is not replaced before the next selection.
A. True
B. False
7: Sampling Without Replacement is a method of sampling in which each participant or item selected is not replaced before the next selection.
A. True
B. False
8: The standard deviation of a sampling distribution of sample means is known as_____
A. Standard Error
B. Standard Error of the Mean
C. Standard Error of the Population
D. Both a and b
9: The standard deviation of a sampling distribution of sample means is known as_____
A. Standard Error
B. Standard Error of the Mean
C. Standard Error of the Population
D. Both a and b
10: 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.
A. N
B. N-1
C. 1-n
D. N+1
11: The following are true for sampling without replacement, except:
A. It is most common behavioral research.
B. Probability for each selection is conditional.
C. It is used in the development of statistical theory.
D. Participants selected are not replaced before the next selection.
12: Sampling strategy used in developing statistical theory is based on:
A. Selecting participants in no specific order.
B. Participants being replaced after being sample
C. Never selecting the same participant twice in the same sample.
D. Participants not being replaced after being sample
13: The variance of the sampling distribution of sample means equals the ________ divided by the sample size.
A. Standard deviation
B. Population mean
C. Sample variance
D. Population variance
14: The variance of the sampling distribution of sample means equals the ________ divided by the sample size.
A. Standard deviation
B. Population mean
C. Sample variance
D. Population variance
15: 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:
A. Approach the shape of a normal distribution.
B. Be asymmetrical.
C. Not be based on theory.
D. Be nonmodal.
16: 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?
A. 0.5
B. 3.0
C. 1.5
D. There is not enough information to answer this question.
17: 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?
A. There is not enough information to answer this question.
B. Less than 1
C. Equal to 1
D. Greater than 1
18: 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.
A. Researcher A
B. Researcher B
C. They both have the same standard error.
D. This cannot be computed from the information available
19: A researcher decreases the sample size, which will:
A. Increase the variability in the sample.
B. Decrease the value of standard error.
C. Leave the standard error unchange
D. Increase the value of standard error.
20: A researcher decreases the sample size, which will:
A. Increase the variability in the sample.
B. Decrease the value of standard error.
C. Leave the standard error unchange
D. Increase the value of standard error.
21: 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?
A. .0228
B. .4772
C. .9772
D. Equal to the probability of obtaining a sample mean that is at least two standard deviations below the mean
22: 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?
A. 25
B. 32.5
C. 7.5
D. The standard error of the mean is not reported in the article.
23: 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.
A. True
B. False
24: On average the sample mean will equal the population mean, and the sample mean is an unbiased estimator.
A. True
B. False
25: 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.
A. True
B. False
26: The standard error is the sample variance divided by the square root of the sample size.
A. True
B. False
27: The larger the population standard deviation, the larger the standard error of the mean will be.
A. True
B. False
28: The larger the population standard deviation, the larger the standard error of the mean will be.
A. True
B. False
Probability and Sampling Distributions in Statistics MCQs
