AP Stats: Lord Raleigh studied the density of nitrogen and conjectured that nitrogen produced
from chemical compounds tended to be lower than the densities of nitrogen produced from the air. His measurements were as follows:

Question

AP Stats: Lord Raleigh studied the density of nitrogen and conjectured that nitrogen produced
from chemical compounds tended to be lower than the densities of nitrogen produced  from the air. His measurements were as follows:

minimato · Answer

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minimato · Answer

Do the samples appear to be from the same population? Why or why not? Support your answer with numerical facts and convincing reasons and explanations

minimato · Answer

There were 3 parts, but that part was the only one I needed help on. Also, to aid:
Chemical: mean (x̅) = 2.29971, standard deviation (s) = 0.00131, 5 number summary =(2.29816, 2.29869, 2.29915, 2.30074, 2.30182), IQR = 0.00205
Atmospheric: mean (x̅) = 2.31022, standard deviation (s) = 0.00057,  5 number summary = (2.30956, 2.30994, 2.31010, 2.31026, 2.31163), IQR = 0.00032

minimato · Answer

@ybarrap Could you help me please, if you can? :)

ybarrap · Answer

Sure -- Do you know the process for determining whether the difference observed between means coming from homoscedastic variances (i.e. variances are assumed equal)? You should first determine at what significance level you will reject the null hypothesis and then compare it with the p-value computed. Check this out - http://onlinestatbook.com/2/tests_of_means/difference_means.html