I have two samples from two independent communities that have mean and standard deviation of time attribute on them, but I do not have access to the amount of time each participant in each sample so I cannot verify the normality of the data distribution. That is, for example, I know the mean and standard deviation of the time attribute for 20 participants are 10 and 1.5 respectively, but I do not know what the time attribute value was for each of the 10 participants, so I cannot understand whether the data distribution is normal or No to use the appropriate test. Is there a test to check the assumption of equality of an attribute in two samples from two independent populations without knowing the normal distribution of the attribute values in the two samples? Thank you so much.

It would be great if I can get little help on that.