Questions tagged [confidence-interval]

In statistics, a confidence interval (CI) is a type of interval estimate (of a population parameter) that is computed from the observed data.

The confidence level is the frequency (i.e., the proportion) of possible confidence intervals that contain the true value of their corresponding parameter. In other words, if confidence intervals are constructed using a given confidence level in an infinite number of independent experiments, the proportion of those intervals that contain the true value of the parameter will match the confidence level.

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95% Confidence Interval question

A random sample of size $16$ from a normal population gives the sample mean $10$ and sample standard deviation $1.6$. A $95\%$ confidence interval for the population mean is closest to: $10\pm 1.6\cdot{2.131}$ $10\pm 0.4\cdot{1.96}$ $10\pm…
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