#acl All:read,write
= Results for Exercise Sheet 13 (Statistical significance) =
'''Please read the instructions below, before adding something to the table!'''

Add your row to the table below, following the examples already there. Column 1 = name. Columns 2 + 3 + 4 + 5 + 6 = values for n = 3, namely: difference M of means, estimated standard deviation S' = S / sqrt(n), value of test statistic x = M / S', and the p-values for the Z-test and the T-test, respectively. Columns 7 + 8 + 9 + 10 + 11 = same values for n = 10. Please write all values with exactly three digits after the dot.

Recall: experiment to measure query times for tables with hex vs. integer ids for person names when joining ''acted_in'' and ''has_won'' on their respective first column.

Note: in Wolfram Alpha you can type something like ''P(X >= x) for the standard normal distribution'' or ''P(X >= x) for the t-distribution with ... degrees of freedom'', awesome!

||<|2>'''Name''' ||<:-5>'''n=3'''||<:-5>'''n=10'''||
||'''M'''||'''S' = S/sqrt(n)'''||'''x = M / S''''||'''Pr(Z >= x)'''||'''Pr(T >= x)'''||'''M'''||'''S' = S/sqrt(n)'''||'''x = M / S''''||'''Pr(Z >= x)'''||'''Pr(T >= x)'''||
||Florian B ||0.077||0.007||10.286||0.000% ||0.002% ||0.072||0.009||7.426||0.000% ||0.000% ||
||Nikolaus M ||0.253||0.0078||32.572||0.000% ||0.000% ||0.247||0.0071||34.621||0.000% ||0.000% ||
||Mallikarjun ||0.507||0.0075||67.05||0.000% ||0.000% ||0.509||0.0076||66.32||0.000% ||0.000% ||
||Severin ||0.3494||0.0110||31.772||7.864e-220% ||5.849e-04% ||0.3496||0.0071||49.288||0.000% ||2.2e-16% ||
||Chris S||0.249||0.012||19.595||?% ||5.849e-04% ||0.3496||0.0071||49.288||0.000% ||2.2e-16% ||