Comparing if there is a significant difference in two means of independent samples when the data is not normally distributed? I am looking to see if the means obtained in previous clinical testing is significantly different to the means obtained by remote testing. I was planning on using a One sample T-test however the remote data has violated normality assumptions.
I do not have access to anything other than the mean for the previously collected clinically data therefore cannot conduct many of the other non-parametric tests suggested online.

If the data do not provide normality, independent sample t-test non-parametric methods are used for comparisons.
Non-parametric methods are Wilcoxon rank sum test and Mann-Whitney U test according to dependent and independent variable differences.
Because it is non-parametric, the Wilcoxon method is based on the median, not the mean. (mu parameter)
Therefore, you need samples from the data for analysis.
