I'm taking a pretty tough class right now (I got 10% on the first report... after I got above 95% on every organic chemistry and analytical chemistry report. You should have seen some of the comments the professor wrote lol. It was 75 pages of him destroying us) Anyway, I've never taken a statistics class, so I don't know how to do this.
I have two sets of results and I want to determine whether or not they're statistically different. The data sets are:
Set 1
0.644920077
0.58992998
0.576727708
0.584725328
0.610673408
Set 2
0.53011046
0.50083291
0.527798378
0.508153461
0.538681846
Each data point has an uncertainty of ±0.08. I listed extra digits above if I need them for some reason. Literature claims the measured value should be 0.60. So most of the data is in agreement with literature, but are these two sets of data statistically different?
Usually I'd just run a student's t test, but I don't know how to do that when I have to consider uncertainty.
How should I analyze this?
LMK if you have any questions. Thanks for the help.