A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5.9 at a 95% level of confidence. If the mean of the sample is 18.7, what is the 95% confidence interval for the population mean?

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Madisyn Nelson

Mathematics

5 December, 14:28

A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5.9 at a 95% level of confidence. If the mean of the sample is 18.7, what is the 95% confidence interval for the population mean?

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Lorelei Pruitt · Answer 1

To find the confidence interval, add and subtract the margin of error from the mean. With mean 18.7 and margin of error 5.9, you have 95% confidence the answer is between 12.8 and 24.6.