Set the theoretical situation (expected reality)

Mean A

Mean B

StdDev

N sample

Randomly simulate experiments

Run by 1 by 10 by 100

Play with risks levels to see the impact on conclusions

Alpha

Power

When equal means is the theoretical assumption, alpha risk is the detection of False positive. When difference between the means is the expected situation, beta risk is the detection of False negative and Power the capability of the test to put in evidence the difference. Student's t-test result based on Normal distribution assumption