A researcher collected a sample of size 24 from a normal population and produced the following 99% confidence interval for the population mean μ, with the population standard deviation known: (15.01, 19.74). Find a 95% confidence interval for μ based on the same sample. |
We know that the 99% confidence interval for population mean is given by:
So,
Adding these equations, we get,
So,
Now, we know that the 95% confidence interval for population mean is given by:
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