Wolfram Function Repository
Instantuse addon functions for the Wolfram Language
Function Repository Resource:
Estimate the confidence interval of the difference between the population means
ResourceFunction["MeanDifferenceCI"][list_{1},list_{2}] gives a confidence interval for the difference between the population means estimated from list_{1} and list_{2}. 
ConfidenceLevel  0.95  probability associated with a confidence interval  
EqualVariances  False  whether the unknown population variances are assumed equal  
KnownVariance  None  list of variances of each population 
The 95% confidence interval for the difference in two population means:
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The 99% confidence interval:
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A confidence interval assuming equal but unknown variances:
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A confidence interval assuming known variances:
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Wolfram Language 11.3 (March 2018) or above
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