![]() ![]() For example, if we constructed 100 of these confidence intervals, we would expect 90 of them to contain the true population mean exam score. Ninety percent of all confidence intervals constructed in this way contain the true mean statistics exam score. We estimate with 90% confidence that the true population mean exam score for all statistics students is between 67.18 and 68.82. ![]() The confidence interval is (to three decimal places)(67.178, 68.822). Suppose that our sample has a mean of \displaystyle\overline, 36 for n, and. Calculate and interpret confidence intervals for estimating a population mean and a population proportionĪ confidence interval for a population mean with a known standard deviation is based on the fact that the sample means follow an approximately normal distribution. ![]()
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