Question 1202585
first division:
sample size is 12
sample mean is 12500
sample standard deviation is 320


second division:
sample size is 10
sample mean is 11200
sample standared deviation is 480


the calculator at <a href = "https://www.graphpad.com/quickcalcs/ttest2/" target = "_blank">https://www.graphpad.com/quickcalcs/ttest2/</a> indicates that the diference is significant at alpha = .05.


here are the results.


<img src = "http://theo.x10hosting.com/2023/060301.jpg">


here's a reference on how to do it via formula.
<a href = "https://www.jmp.com/en_us/statistics-knowledge-portal/t-test/two-sample-t-test.html" target = "_blank">https://www.jmp.com/en_us/statistics-knowledge-portal/t-test/two-sample-t-test.html</a>
unfortunately, if you work it through, you will probably not get the exact answer, but it should be close.
i worked through it and got a t-score of 7.59.
this is the same as the results from the calculator.
that doesn't always happen because the calcuators can have different assumptions than the formula used, but it happily worked out in this case.