方差已知情况下总体均值的估计
Estimation of population mean with known variance
When the mean μ and variance σ of a normally distributed population are known, the distribution of sample mean with a capacity of n is determined, following a normal distribution of mean μ and variance σ2/n.
According to the distribution of the mean variance of the sample, it can be concluded that: 1. The population mean μ is the best point estimate of the sample mean; The confidence interval with a confidence level of 1-α can be determined by the corresponding z-score.