title: T-test and confidence interval after log transformation
body: <p>I have data that is not normally distributed. I can log-transform it to be normally distributed, and then perform a t-test and get confidence intervals (CI).</p>
  <p>But how do I interpret the results of the t-test and the CIs?</p>
  <p>T-test: Do I have to transform back the p-value, before I can say that the difference between the two means is significant? Anything else I need to do? Or can I just take the results and interpret them as if the test was performed on the original data?</p>
  <p>CI: Do I just transform it back? For example, if my CI in log-transformed data is 0.2, then it will be 10^0.2 = 1.5848931924611 in the non transformed data?</p>
  <p>I'm confused about this.</p>