A library is interested in finding a 99% confidence interval for the mean number of days per month that Americans visit their library, so they gathered information about 268 Americans.
In this sample, the mean number of visits per month was 1.2, with a standard deviation of 0.4.
Find the 99% confidence interval for the population mean number of visits. Round answers to 3 decimal places where possible.
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If many groups of 268 randomly selected members are studied, we would expect each group to result in a different confidence interval. How many of these confidence intervals would we expect to contain the true population mean number of visits per month? Explain your answer.