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4.2.D—Calculate an appropriate confidence interval for a population mean or population mean difference

Syllabus
2026
Objective
4.2
Level

4.2.D—Calculate an appropriate confidence interval for a population mean or population mean difference

Calculate an appropriate confidence interval for a population mean or population mean difference.

  • A point estimate for a population mean is the sample mean, x, or xd for the sample mean difference.
  • To estimate the population mean for one sample or the population mean difference between values in matched pairs, when the population standard deviation is unknown, the confidence interval is * sx±t n , where t∗ is the critical value for the central C% of a t-distribution with degrees of freedom n −1.
ConceptAP Statistics