Which statement, made by a research student, would the faculty analyze as indicating the student has understanding of the concept of sampling distribution of the mean?
1. Sampling distribution is based on a finite number of samples from a population.
2. Theoretical sampling distribution of the mean eliminates error when calculating standard deviation in the sample.
3. Sampling distribution is used only in descriptive statistical testing.
4. The smaller the standard error of the mean, the more confidence the researcher can have that the mean from the sample is an accurate reflection of the population mean.
4
Rationale 1: Sampling distribution is based on an infinite number of samples from a population. This student needs additional study.
Rationale 2: When a theoretical sampling distribution of the mean is used to estimate a population mean, some error is likely to occur in this estimate. The standard deviation of the sampling distribution of the mean is called the standard error of the mean. This student needs additional study.
Rationale 3: Sampling distribution is used in inferential statistical testing. This student needs additional study.
Rationale 4: This is a true statement about the concept of sampling distribution of the mean. This student has some understanding of the sampling distribution of the mean.
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