(See Steps) Solve the problem. A researcher wishes to construct a 95 \% confidence interval for a population mean. She selects a simple random sample of
Question: Solve the problem. A researcher wishes to construct a \(95 \%\) confidence interval for a population mean. She selects a simple random sample of size \(n=20\) from the population. The population is normally distributed and \(\sigma\) is unknown. When constructing the confidence interval, the researcher should use the t distribution; however, she incorrectly uses the normal distribution. Will the true confidence level of the resulting confidence interval be greater than \(95 \%\), smaller than \(95 \%\), or exactly \(95 \%\) ?
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