Justifying a Claim About a Population Mean Based on a Confidence Interval

AP Statistics· difficulty 1/5

A 90% confidence interval for the mean weight of adult salmon is (4.2, 4.8) kg.

4.2 4.8 90% CI for mu (kg)

Which is a correct interpretation?

  • A

    We are 90% confident the population mean weight is between 4.2 and 4.8 kg.

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  • B

    90% of samples will have a mean between 4.2 and 4.8 kg.

  • C

    There is a 90% probability that the true mean is in this interval.

  • D

    90% of adult salmon weigh between 4.2 and 4.8 kg.

Explanation

A confidence interval describes our confidence in capturing the population parameter, not individual values, probability, or future samples.

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