## Related questions with answers

Question

A normal population with a population standard deviation of 25 is used to sample a population of 250 observations. 20 is the sample mean. With this determine the 95% confidence interval for the population mean.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 5The confidence interval for the population mean when the population distribution is normal and the population standard deviation $\sigma$ is known is given by

$\overline{x}\pm z\cdot\dfrac{\sigma}{\sqrt{n}},$

where $\overline{x}$ is the sample mean which is a point estimate of the population mean, the value of $z$ is found from the table of areas under the normal curve for the given confidence level, and $n$ is the number of observations in the sample.

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