If All the Possible Pairs of Sample Means Were Obtained

question 15

Multiple Choice

If all the possible pairs of sample means were obtained from a single population, the mean of the distribution of differences would be

• A) a statistic
• B) a parameter
• C) identical with the mean of the distribution of means
• D) equal to one-sixth of the range

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Definitions:

Regression Line

A straight line used in linear regression analysis that best fits a set of data points, showing the relationship between two variables.

Confidence Interval

A span of numbers, obtained from sample observations, which is expected to include the value of an unobserved population attribute at a certain confidence level.

Standard Error

A statistic that measures the dispersion of sample means around the population mean, often used to estimate the precision of sample statistics.

Regression Line

A straight line that best fits the data in a linear regression analysis, representing the relationship between the independent and dependent variables.