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# Statistics (Social And Behavioral Sciences) MCQ

### The larger the population standard deviation, the larger the standard error of the mean will be.

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### The larger the population standard deviation, the larger the standard error of the mean will be.

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### The standard error is the sample variance divided by the square root of the sample size.

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### 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.

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### On average the sample mean will equal the population mean, and the sample mean is an unbiased estimator.

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### 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.

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### 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?

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### 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?

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### A researcher decreases the sample size, which will:

Correct Answer: Increase the value of standard error.

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### A researcher decreases the sample size, which will:

Correct Answer: Increase the value of standard error.

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### 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.

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### 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?

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### 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?

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### 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:

Correct Answer: Approach the shape of a normal distribution.

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### The variance of the sampling distribution of sample means equals the ________ divided by the sample size.

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### The variance of the sampling distribution of sample means equals the ________ divided by the sample size.

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### Sampling strategy used in developing statistical theory is based on:

Correct Answer: Participants being replaced after being sample

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### The following are true for sampling without replacement, except:

Correct Answer: It is used in the development of statistical theory.

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### 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.

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### The standard deviation of a sampling distribution of sample means is known as_____

Correct Answer: Both a and b

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### The standard deviation of a sampling distribution of sample means is known as_____

Correct Answer: Both a and b

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### Sampling Without Replacement is a method of sampling in which each participant or item selected is not replaced before the next selection.

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### Sampling With Replacement is a method of sampling in which each participant or item selected is not replaced before the next selection.

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### Sampling Error is the extent to which sample means selected from the same population _____ one another.

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### Sample Distribution is a distribution of all _____ that could be obtained in samples of a given size from the same population.

Correct Answer: Both a and b

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### Sample Design is a specific plan or protocol for how individuals will be _____ from a population of interest.

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