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Confidence Intervals

This achievement standard involves calculating confidence intervals for population parameters from large samples.Confidence_Interval_90P

  • Calculate confidence intervals for population parameters.

  • Population parameters for which confidence intervals are calculated will be selected from:

    • mean

    • proportion

    • difference between two means.

  • Demonstrate an understanding of confidence intervals.

  • This will include some of:

    • interpreting confidence intervals

    • justifying or refuting claims about a

population parameter

    • calculating the sample size required to

meet a pre-specified precision

    • estimating population totals.

  • Demonstrate an understanding of the theory behind confidence intervals.

  • The understanding may involve:

    • effect of changing parameters on the precision or standard error

    • applications of the Central Limit Theorem,

      1. distribution of sample means

      2. distribution of sample totals

      3. use of probability including normal distribution.

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