In estimating the population mean $\mu$when the population size N is small, the confidence interval estimator of $\mu$is .

Question

In estimating the population mean $\mu$when the population size N is small, the confidence interval estimator of $\mu$is  .

Quizplus · Accepted Answer

The confidence interval estimator for the population mean when the population size is small is typically calculated using the t-distribution, and the formula for the confidence interval is given by:

CI = sample mean ± t(alpha/2, n-1) * (standard error)

where t(alpha/2, n-1) is the critical t-value from the t-distribution with n-1 degrees of freedom, alpha is the significance level, and (standard error) is the standard deviation of the sample mean.

The formula given in the question matches the form of the confidence interval estimator when the population size is small, so the answer is true.

In Estimating the Population Mean μ\muμ When the Population Size N Is Small, the Confidence Interval

In Estimating the Population Mean $\mu$ When the Population Size N Is Small, the Confidence Interval