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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?

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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.

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