AP Statistics / Unit 4: Inference for Quantitative Data: Means

4.3 Justifying a Claim Based on a Confidence Interval for a Population Mean or Population Mean Difference

3 practice questions

Notes

  • A claimed $\mu$ inside the interval is plausible.
  • For paired differences, an interval that doesn't contain 0 suggests a real mean difference.

Practice

A 95% CI for mean sleep is (6.8, 7.4) hours. Is $\mu=7$ plausible?
A 95% CI for mean difference (after − before) is (1.2, 3.5). This suggests:
A wider interval comes from:

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Previous4.2 Constructing a Confidence Interval for a Population Mean or Population Mean Difference