Two normal population variances are known to make hypothesis tests for mean difference _ online calculation tools

发布时间 ： 2025-12-17 01:41:44 UTC      

类别 ： Probability

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1,Enter a known standard deviation in the following input box (you can also enter the standard deviation with the known variance after the letter q) :
2,Input each sample value or sample size plus calculated sample mean:
Enter each sample value Enter the sample capacity and the average value of the sample.
Enter the individual sample values for the general X and Y in the following multi-line input box, and the sample values for X and Y are separated by the character "|", and the individual sample values are separated by a comma ors blank characters
3,Select the significance level α：
0.1 0.05 0.025 0.01 0.02 0.005 0.001
4,Set the hypothesis option (original hypothesis is ): H0,alternative hypothesis is H1)：
H0:μ1=μ2, H1:μ1≠μ2
H0:μ1≤μ2, H1:μ1>μ2
H0:μ1≥μ2, H1:μ1<μ2
5,Click the "Start Inspection" button to start checking:

Suppose the two populations X and Y are independent of each other and obey the normal distribution.
The mean and variance of X areμ1,σ12,
The mean and variance of Y areμ2,σ22, that is X~N(μ1,σ12),
Y~N(μ2,σ22),This page is atσ12,σ22
for known cases mean difference μ1-μ2as hypothetical test，the statistics are

，among them, n1,n2 are two overall sample sizes.

文章链接 ： Two normal population variances are known to make hypothesis tests for mean difference _ online calculation tools

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