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

Question

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

Quizplus · Accepted Answer

When the population size is small (N<30), the confidence interval estimator of μ is given by t-distribution and is denoted by:

x̄ ± t(n-1,α/2) * s/√n

where x̄ is the sample mean, s is the sample standard deviation, n is the sample size, and t(n-1,α/2) is the t-value for the given level of significance α and degrees of freedom (n-1). Therefore, the statement is true.

In Estimating the Population Mean μ When the Population Size