Each year in an archive at New Delhi, the director estimates the mean number of times the

Question:

Each year in an archive at New Delhi, the director estimates the mean number of times the archived documents have been checked out in the previous year. To do this, the director randomly samples computer records for 500 books and forms a 95% confidence interval for the mean. This has been done for 10 years. Find the probability that

(a) all the confidence intervals contain the true means;

(b) at least one confidence interval does not contain the true mean.

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Shameen Tahir

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