208k views
3 votes
If we consider doing this type of analysis many times, what is the probability that at least one CI doesn't cover the true μ4?

1 Answer

4 votes

Final answer:

The probability that at least one confidence interval (CI) doesn't cover the true population mean μ is approximately 1 minus 0.9 to the power of the number of CIs.

Step-by-step explanation:

The probability that at least one confidence interval (CI) doesn't cover the true population mean μ is equal to 1 minus the probability that all CIs cover μ. Since the probability of a CI covering μ is approximately 90 percent, the probability that all CIs cover μ is approximately 0.9 to the power of the number of CIs. Therefore, the probability that at least one CI doesn't cover μ is approximately 1 minus 0.9 to the power of the number of CIs.

User Kyr
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.