Suppose the two populations X and Y are independent of each other and obey the normal distribution.
The mean and variance of X areμ_{1},σ_{1}^{2},
the mean and variance of Y areμ_{2},σ_{2}^{2}, that is X~N(μ_{1},σ_{1}^{2}),
Y~N (μ_{2},σ_{2}^{2}),this page is the differenceσ_{1}^{2}/σ_{2}^{2} hypothesis testing, the statistics are

，S_{1}^{2},S_{2}^{2}For the sample variance of the two sets of samples,
their square root is called the sample standard deviation, n_{1}, and n_{2} is the corresponding sample size.

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