Moderate

The precision with which a sample average approximates a population average increases as:

Correct answer: D. the standard deviation of the sample decreases

  • A. the range of the sample increases
  • B. the standard deviation of the sample increases
  • C. the man of the sample increases
  • D. the standard deviation of the sample decreases

Explanation

A sample mean estimates the population mean more precisely when scores vary less, because a smaller standard deviation reduces sampling error. In practice, a larger sample also improves precision, but that option is not provided.

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