Solve the problem. A researcher wishes to construct a 95% confidence interval fo

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 known. When constructing the confidence interval, the researcher should use the normal distribution; however, she incorrectly uses the t distribution. How does this incorrectly calculated confidence relate to the correct confidence interval? The calculated confidence interval is shifted to the left of the correct confidence interval. The calculated confidence interval is narrower than the correct confidence interval. The calculated confidence interval is wider than the correct confidence interval. The calculated confidence interval is shifted to the right of the correct confidence interval.

Explanation / Answer

the calculated confidence interval is narrower than the correct confidence interval

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