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The second normal population variance is the same but the unknown is the hypothesis test for the mean difference - online calculation tool

Category: Electronic
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1,Enter sample values or sample size and calculated sample mean and sample standard deviation:
Enter each sample value Enter sample size, sample mean, and sample standard deviation
Enter the sample values in the following multi-line input box separated by commas or blank characters
2,Select the significance level α：
0.1 0.05 0.025 0.02 0.01 0.005 0.001
3,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
4,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 σ12,σ22which are same but unknown          mean differenceμ1-μ2make hypothesis test，the statistics are

，among them

,n1,X,S1 are the sample size, sample mean, and sample standard deviation of the population X. n2,Y,S2are the sample size, sample mean, and sample standard deviation of the overall Y.

 

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